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- Cover
- Preface
- About the Editor
- Table of Contents
- Contributors
- Biographies of Contributors
- Introduction
- Volume I: Nuclear Engineering Fundamentals
- 1: Neutron Cross Section Measurements
- 1: Introduction
- 2: History
- 3: Currently Active Laboratories
- 3.1 Time-of-Flight Laboratories
- 3.1.1 The Gaerttner LINAC Laboratory
- 3.1.2 The Los Alamos Neutron Science Center
- 3.1.3 The ORELA Laboratory at Oak Ridge National Laboratory
- 3.1.4 GELINA at the JRC-IRMM in Geel
- 3.1.5 The n_TOF Facility at CERN
- 3.1.6 The IREN Facility at Dubna
- 3.1.7 The PNF Laboratory at Pohang
- 3.1.8 Electron Linac at Kyoto University Research ReactorInstitute, KURRI
- 3.2 Monoenergetic Fast Neutron Facilities
- 3.2.1 Neutron Energies Below 1: MeV
- 3.2.2 Neutron Energies in the MeV Region
- 3.2.3 Neutron Energies Near 14: MeV
- 3.2.4 Neutron Energies Above 30 MeV
- 4: Neutron Cross Sections
- 4.1 Introduction
- 4.2 Total Cross Section
- 4.3 Partial Cross Section
- 4.4 Resonance Cross Section
- 4.5 High Energy Cross Section
- 5: Cross Section Measurements
- 5.1 Thermal Energy Region
- 5.1.1 Thermal Flux Averaged Cross Section
- 5.2 Resonance Energy Region
- 5.3 Unresolved Resonance and Continuum Energy Region
- 5.4 The Neutron Time of Flight Method
- 5.4.1 Neutron Density and Flux Distributions at Thermal Energies
- 5.5 Surrogate Reactions
- 5.6 Cross Section Standards
- 6: Nuclear Resonances and the R-Matrix Formalism
- 6.1 Introduction
- 6.1.1 Channel Representation
- 6.1.2 The Wave Function in the External Region
- 6.1.3 The Collision Matrix U
- 6.1.4 The Relation Between the Cross Sections andthe Collision Matrix U
- 6.1.5 The Wave Function in the Internal Region
- 6.1.6 The Relation Between the R-Matrix and the Collision Matrix U
- 6.2 Approximations of the R-Matrix
- 6.2.1 The Breit–Wigner Single Level Approximation
- 6.2.2 The Breit–Wigner Multi Level Approximation
- 6.2.3 The Reich–Moore Approximation
- 6.3 Average Cross Sections
- 7: Concluding Remarks
- References
- 2: Evaluated Nuclear Data
- 1: Evaluation Methodology for Neutron Data
- 1.1 Basic Ingredients
- 1.2 Thermal and Resolved Resonance Region
- 1.2.1 Thermal Energy Region
- 1.2.2 Westcott Factors and Resonance Integrals
- 1.2.3 Resolved Resonance Energy Region
- 1.3 Unresolved Resonance Region
- 1.4 Fast Neutron Region
- 1.4.1 Optical Model and Direct Reactions
- 1.4.2 Compound Nucleus Decay
- 1.4.3 Width Fluctuation Correction
- 1.4.4 Preequilibrium Models
- 1.4.5 Light Nuclei
- 1.5 Fission
- 1.5.1 Fission Modeling
- 1.5.2 Prompt Fission Neutron Spectra
- 1.5.3 Peculiarities of Fission Cross Section Evaluation
- 2: Neutron Data for Actinides
- 2.1 235U Evaluation
- 2.1.1 235U, Unresolved Resonance Region
- 2.1.2 235U, Fast Neutron Region
- 2.2 238U Evaluation
- 2.2.1 238U, Resolved and Unresolved Resonance Region
- 2.2.2 238U, Fast Neutron Region
- 2.3 239Pu Evaluation
- 2.3.1 239Pu, Resonance Region
- 2.3.2 239Pu, Fast Neutron Region
- 2.4 232Th Evaluation
- 2.5 Minor Actinides
- 2.5.1 233U Evaluation
- 2.5.2 232,234,236,237,239,240,241U Evaluations
- 2.6 Thermal Constants
- 2.7 Nubars
- 2.8 Delayed Neutrons
- 2.8.1 Fission-Product Delayed Neutrons
- 2.8.2 235U Thermal nud
- 2.9 Fission Energy Release
- 2.9.1 Nuclear Heating
- 3: Neutron Data for Other Materials
- 3.1 Light Nuclei
- 3.2 Structural Materials
- 3.2.1 Evaluations of Major Structural Materials
- 3.2.2 New Evaluations for ENDF/B-VII.0
- 3.3 Fission Products
- 3.3.1 Priority Fission Products
- 3.3.2 Complete Isotopic Chains
- 3.3.3 Specific Case of 90Zr
- 3.3.4 Remaining Fission Products
- 4: Covariances for Neutron Data
- 4.1 Evaluation Methodology
- 4.1.1 Resonance Region
- SAMMY Covariance Method
- Atlas Covariance Method
- Low-Fidelity Covariance Method
- 4.1.2 Fast Neutron Region
- EMPIRE-KALMAN Covariance Method
- 4.2 Sample Case: Gd
- 4.3 Major Actinides
- 4.3.1 233,235,238U Covariances
- 4.3.2 239Pu Covariances
- 4.3.3 232Th Covariances
- 4.4 Covariance Libraries
- 4.4.1 Low-Fidelity Covariance Library
- 4.4.2 SCALE-6: Covariance Library
- 4.4.3 AFCI Covariance Library
- 5: Validation of Neutron Data
- 5.1 Criticality Testing
- 5.2 Fast U and Pu Benchmarks
- 5.3 Thermal U and Pu Benchmarks
- 5.3.1 235U Solution Benchmarks
- 5.3.2 U Fuel Rod Benchmarks
- 5.3.3 Pu Solution and MOX Benchmarks
- 5.4 Conclusions from Criticality Testing
- 5.5 Delayed Neutron Testing, eff
- 5.6 Reaction Rates in Critical Assemblies
- 5.7 Shielding and Pulsed-Sphere Testing
- 5.8 Testing of Thermal Values and Resonance Integrals
- 6: Other Nuclear Data of Interest
- 6.1 Fission Yields
- 6.2 Thermal Neutron Scattering
- 6.2.1 H2O and D2O
- 6.2.2 O in UO2: and U in UO2
- 6.2.3 H in ZrH
- 6.2.4 Other Modified Materials
- 6.3 Decay Data
- 6.3.1 Decay Heat Calculations
- 7: Evaluated Nuclear Data Libraries
- 7.1 Overview of Libraries
- 7.1.1 General Purpose Libraries
- 7.1.2 Special Purpose Libraries
- 7.1.3 Derived Libraries
- 7.2 ENDF-6: Format
- 7.3 ENDF/B-VII.0 (USA, 2006)
- 7.3.1 Overview of the ENDF/B-VII.0 Library
- 7.3.2 Processing and Data Verification
- 7.4 JEFF-3.1 (Europe, 2005)
- 7.5 JENDL-3.3 (Japan, 2002)
- 7.6 Web Access to Nuclear Data
- Acknowledgments
- References
- 3: Neutron Slowing Down and Thermalization
- 1: Thermal Neutron Scattering
- 1.1 Introduction
- 1.2 Chemical Binding
- 1.3 Coherent and Incoherent Scattering
- 1.4 The Quantum Mechanical Scattering Function
- 1.5 The Intermediate Scattering Function
- 1.6 Detailed Balance
- 1.7 The Scattering Law
- 1.8 The Phonon Expansion
- 1.9 The Short Collision Time Approximation
- 1.10 Diffusive Translations
- 1.11 Discrete Oscillators
- 1.12 Incoherent Elastic Scattering
- 1.13 Coherent Elastic Scattering
- 1.14 Example of Thermal Scattering in Graphite
- 1.15 Example of Thermal Scattering in Water
- 1.16 Example for Thermal Scattering in Heavy Water
- 1.17 Example for Thermal Scattering in Zirconium Hydride
- 1.18 Using the ENDF/B Thermal Scattering Evaluations
- 2: Neutron Thermalization
- 2.1 Introduction
- 2.2 Monte Carlo Simulations of Neutron Thermalization
- 2.3 Discrete Ordinates Methods
- 2.3.1 SN Theory
- 2.3.2 Transport Corrections
- 2.3.3 Fission Source
- 2.3.4 The Eigenvalue Iteration
- 2.3.5 SN Data Requirements
- 2.3.6 Example for HST42-5
- 2.3.7 Preparing SN Cross-Section Data
- 2.3.8 Example for an Infinite Pin-Cell Lattice
- 2.3.9 Monte Carlo vs. Multigroup
- 2.4 Collision Probability Methods
- 2.5 Size Effects in Thermalization
- 3: Steady-State Slowing Down
- 3.1 Introduction
- 3.2 Slowing-Down Cross Sections
- 3.3 Spectra for Elastic Downscatter
- 3.4 Spectra for Inelastic Downscatter
- 3.5 Resonance Cross Sections
- 3.5.1 Single-Level Breit–Wigner Representation
- 3.5.2 Multi-Level Breit–Wigner Representation
- 3.5.3 Reich–Moore Representation
- 3.5.4 Reich–Moore-Limited Representation
- 3.5.5 Angular Distributions
- 3.5.6 Resonance Reconstruction and Doppler Broadening
- 3.5.7 Thermal Constants
- 3.6 Resonance Slowing Down
- 3.7 Flux Calculations
- 3.8 Intermediate Resonance Self-Shielding
- 3.9 Unresolved Resonance Range Methods
- 4: Time and Space in Slowing Down
- 4.1 Introduction
- 4.2 Time Dependence of the Energy Spectrum
- 4.3 Time Dependence of the Spatial Distribution
- 4.4 Eigenvalues and Eigenfunctions
- 4.5 Analytic Age Theory
- 5: Concluding Remarks and Outlook
- References
- 4: Nuclear Data Preparation
- 1: Overview
- 1.1 Introduction
- 1.2 The ENDF/B Format
- 1.2.1 ENDF/B Tables and Interpolation
- 1.3 The Importance of Nuclear Data-Processing Codes
- 1.4 First-Order Approximations: Space, Energy, and Time
- 1.5 Basic Equations
- 1.6 Species of Particles
- 1.7 Evaluated Data
- 1.7.1 Neutron-Interaction Data
- Secondary-Neutron Distributions
- 1.7.2 Neutron-Induced Photon Production
- 1.7.3 Photon Interaction Data
- 1.8 Approximate Methods
- 1.8.1 Monte Carlo Versus Deterministic Codes
- 1.8.2 Continuous Energy
- 1.8.3 Multigroup
- 1.9 Summary
- 2: Reconstruction of Energy-Dependent Cross Sections
- 2.1 Introduction
- 2.2 Representation of Cross Sections
- 2.3 Tabulated Cross Sections
- 2.3.1 Linearized Cross Sections
- 2.4 Reconstructing the Contribution of Resonances
- 2.4.1 The Resolved-Resonance Region
- 2.4.2 Unresolved-Resonance Region
- 2.4.3 Adding Resonance and Background Cross Sections
- 2.4.4 Output Format
- 3: Doppler Broadening
- 3.1 Introduction
- 3.1.1 What Causes Doppler Broadening?
- 3.2 The Doppler-Broadening Equation
- 3.2.1 Mathematical Interpretation
- 3.3 Methods of Solution
- 3.3.1 Kernel Broadening
- 3.3.2 Tabulated Broadened Cross Sections
- 3.3.3 TEMPO and Psi–Chi Methods
- 3.3.4 Mathematical Comparisons
- 3.4 Numerical Results
- 3.4.1 Low Energies
- 3.4.2 Resonance Region
- 3.4.3 High Energies
- 4: Self-Shielding
- 4.1 Introduction
- 4.2 Narrow, Intermediate, and Wide Resonances
- 4.2.1 Narrow Resonances
- 4.2.2 Wide Resonances
- 4.2.3 Intermediate Resonances
- 4.3 Cross-section Dependence of Flux
- 4.4 Computation of Multigroup Cross Sections
- 4.4.1 Tabulated Cross Sections
- 4.4.2 Linearly Interpolable Data
- 4.4.3 Solution
- 4.4.4 Direct Integration
- 4.5 Comparison of Results
- 5: Transfer Matrix
- 5.1 Introduction
- 5.2 Solution
- 5.2.1 Uncorrelated Distributions
- 5.2.2 Angular Distributions
- 5.2.3 Energy Distributions
- 5.2.4 Correlated Distributions
- 5.2.5 Solution of the Inner Integral
- 5.2.6 Thermal-Scattering Law Data: S(,)
- 6: Group Collapse
- 6.1 Introduction
- 6.2 Noncoincident-Group Boundaries
- 7: The Multiband Method
- 7.1 Introduction
- 7.2 Multiband Equations
- 7.3 Multiband Parameters
- 7.4 Solution for Band Parameters
- 7.4.1 Analytical Solution for Two Bands
- 7.4.2 Generalization to N Bands
- 7.4.3 How Many Bands are Required?
- 7.5 Transfer Matrix
- 7.6 Boundary Condition
- 7.7 Example Results
- 7.7.1 Theoretical Cases
- 7.7.2 Bramblett–Czirr Plate Measurements
- 7.7.3 Criticality Calculations
- 7.7.4 Shielding Calculations
- 7.7.5 Fusion Reactor Blanket
- 7.8 Conclusions
- Acknowledgments
- References
- 5: General Principles of Neutron Transport
- 1: Introduction
- 2: Derivation of the Neutron Transport (Linear Boltzmann) Equation
- 2.1 Independent Variables
- 2.2 The Basic Physics of Neutron Transport
- 2.3 The Angular Neutron Density and Angular Flux
- 2.4 Internal and Boundary Sources
- 2.5 The Time-Dependent Equations of Neutron Transport
- 2.6 Time-Dependent Neutron Transport Without Delayed Neutrons
- 2.7 The Steady-State Neutron Transport Equation
- 2.8 k-Eigenvalue Problems
- 2.9 The Monoenergetic Neutron Transport Equation
- 2.10 Mathematical Issues
- 2.10.1 Existence, Uniqueness, and Nonnegativity of Transport Solutions
- 2.10.2 The nth Collided Fluxes
- 2.10.3 Smoothness of the Angular Flux
- 2.11 Generalizations of the Neutron Transport Equation
- 2.11.1 Reflecting Boundaries
- 2.11.2 Periodic Boundaries
- 2.11.3 Anisotropic Sources
- 2.11.4 Coupled Neutron/Photon Transport
- 2.11.5 Temperature-Dependent Cross Sections
- 2.11.6 Advection and Diffusion of Fission Products
- 2.12 Limitations of the Neutron Transport Equation
- 2.13 Discussion
- 3: The Transport Equation in Special Geometries
- 3.1 3-D Cartesian Geometry
- 3.2 1-D Planar Geometry
- 3.3 2-D (X,Y)-Geometry
- 3.4 1-D Spherical Geometry
- 3.5 3-D normalnormal(r, thetav, z)-Geometry
- 3.6 2-D normalnormal(r,z)-Geometry
- 3.7 1-D Cylindrical Geometry
- 3.8 Discussion
- 4: Integral Equation for Neutron Transport
- 4.1 Integral Equation for the Angular Flux
- 4.2 The Integral Equation for the Scalar Flux
- 4.3 Discussion
- 5: The Adjoint Neutron Transport Equation
- 5.1 Definitions
- 5.2 Illustrative Example
- 5.3 The Adjoint Transport Equation
- 5.4 Adjoint Flux as an Importance Function
- 5.4.1 Source-Detector Problems
- 5.5 Green's Functions
- 5.6 Discussion
- 6: The Multigroup and One-Speed Neutron Transport Equations
- 6.1 The Continuous-Energy Problem
- 6.2 The Multigroup Transport Equations
- 6.3 The Within-Group and One-Group Transport Equations
- 6.4 Discussion
- 7: The Age and Wigner Approximations
- 7.1 The Infinite-Medium Neutron Spectrum Equation
- 7.2 The "Conservative'' Form of the Neutron Transport Equation
- 7.3 The Age Approximation
- 7.4 The Wigner Approximation
- 7.5 Discussion
- 8: The Diffusion Approximation
- 8.1 Derivation of the Diffusion Equation
- 8.2 Homogenized Diffusion Theory
- 8.3 Spherical Harmonic (PN) and Simplified Spherical Harmonic (SPN)Approximations
- 8.4 Discussion
- 9: The Point Kinetics Approximation
- 9.1 Preliminaries
- 9.2 The Scaled Transport and Neutron Precursor Equations
- 9.3 Asymptotic Derivation of the Point Kinetics Equations
- 9.4 Discussion
- 10: Computational Neutron Transport
- 10.1 Monte Carlo Methods
- 10.2 Deterministic Methods
- 10.3 Hybrid Monte Carlo/Deterministic Methods
- 10.4 Discussion
- 11: Concluding Remarks
- References
- 6: Nuclear Materials and Irradiation Effects
- 1: Introduction
- 1.1 Definition of Nuclear Materials
- 1.2 Radiation Fluxes in Nuclear Reactors
- 2: Radiation Damage
- 2.1 Irradiation Damage by Neutrons
- 2.1.1 Inelastic Interactions: Chemical Changes
- 2.1.2 Elastic Interactions by Neutrons
- 2.1.3 Damage Cross Section
- 2.1.4 Computation of Damage for Power Reactors
- 2.1.5 Time Evolution of the Point Defects
- PD Clustering
- 2.2 Effects on Microstructure and Engineering Properties
- Physical Properties
- Diffusion Under Irradiation
- 2.2.1 PD Clustering, Dislocation Loop, and Cavities
- 2.2.2 Segregations, Phase Transformations, and Amorphization
- Solute Transport and Segregations
- Phase Diagrams Under Irradiation
- 2.2.3 Computational Techniques for Nuclear Material Science
- First Principle (Ab Initio)
- Molecular Dynamics
- Monte Carlo
- 2.2.4 Impact of Irradiation on Engineering Design Properties
- Thermoelastic Properties
- Radiation Hardening and Plastic Behavior
- Embrittlement and Reduction in Ductility
- Irradiation Creep
- 2.3 Irradiation Damage in Ceramics
- 2.3.1 General Aspects
- 2.3.2 Irradiation Damage
- 2.3.3 Changes in Microstructure
- 2.3.4 Change in Properties
- 2.4 Irradiation Damage by Photons and Electrons
- 2.4.1 Radiation-Induced Conductivity in Ceramics
- 2.4.2 Radiolysis: Water and Polymers
- Mechanisms of Radiolysis
- Technological Impact ofWater Radiolysis for the Nuclear industry
- Radiolysis in Polymers
- 3: Impact of Irradiation Damage on Structural Material Behavior
- 3.1 Ferritic Steels (LWR Pressure Vessel)
- 3.1.1 General Aspects
- 3.1.2 Microstructural Aspects
- 3.1.3 Pressure Vessel Steel Embrittlement
- Fracture Mechanics
- Master Curve and New Issues
- 3.2 Austenitic Stainless Steels (LWR Internals)
- 3.2.1 Changes in Microstructure and Mechanical Properties
- Irradiation-Assisted Stress Corrosion Cracking
- 3.2.2 Radiation-Induced Segregation
- 4: Reactor Core Materials
- 4.1 Stainless Steels in SFR
- 4.1.1 Changes in Microstructure
- 4.1.2 Swelling
- 4.1.3 Irradiation Hardening and Irradiation Creep
- Irradiation Hardening
- Irradiation Creep
- 4.1.4 Development of Low Swelling Alloys
- 4.2 Zirconium Alloys in Water Reactors
- 4.2.1 Zirconium Alloys: Zircaloy and Zr-Nb
- Industrial Alloys
- Microstructure
- Deformation Processing and Textures
- Mechanical Properties
- 4.2.2 Dislocation Loops: Growth and Irradiation Creep
- Irradiation Effects in the Zr Matrix
- Irradiation Effects on Second Phases
- Irradiation Growth
- Irradiation Creep
- 4.2.3 Postirradiation Plastic Behavior
- 4.2.4 Corrosion Behavior and Effects of Irradiation on Corrosion
- General Corrosion Behavior
- Hydrogen Pick-Up
- 4.2.5 Interaction with Fission Products I-SCC and PCI Failure
- 4.3 Carbon and Graphite
- 4.3.1 Nuclear Graphite
- 4.3.2 Behavior Under Irradiation
- 4.3.3 Creep and Wigner Effect
- 4.3.4 Corrosion
- 5: Fusion Reactor Materials
- 5.1 Specific Environment of the Fusion Reactors
- 5.2 Plasma Facing and High Heat Flux Components
- 5.3 First Wall and the Blanket Structures
- 5.4 Blankets and Tritium Breeding Materials
- 6: Corrosion in Nuclear Environments
- 7: Prospects
- List of Acronyms
- Appendix
- Industrial Steels for Reactor Design
- References
- 7: Mathematics for Nuclear Engineering
- 1: Finite-Dimensional Vector Spaces
- 1.1 Vectors: Definitions and Operations
- 1.2 Matrices: Basic Definitions and Properties
- 2: Elements of Functional Analysis
- 2.1 Operators in Vector Spaces
- 2.2 Differential Calculus
- 3: Special Functions
- 3.1 The Gamma Function:Gamma (z)
- 3.2 The Beta Function
- 3.3 The psi Function
- 3.4 The Generalized Zeta and Riemann's Zeta Functions
- 3.5 Bernoulli's Numbers and Polynomials
- 4: Bessel Functions
- 4.1 Bessel Functions of General Order
- 4.2 Modified Bessel Functions of General Order
- 4.3 Bessel Functions of Integer Order
- 4.4 Modified Bessel Functions of Integer Order
- 4.5 Spherical Bessel Functions
- 4.6 Miscellaneous Formulas
- 4.7 Zeros of Bessel Functions
- 4.8 Fourier-Bessel and Dini Series
- 4.9 Asymptotic Expansions
- 4.10 Integrals
- 4.11 Additional Theorems and Related Series
- 5: Associated Legendre Functions
- 5.1 Differential Equation
- 5.2 Asymptotic Series for Large Values of nu
- 5.3 Recursion Relations
- 5.4 Spherical Functions (Associated Legendre Functions withIntegral Indices)
- 6: Orthogonal Polynomials
- 6.1 Legendre Polynomials: Pn(z)
- 6.2 Gegenbauer Polynomials: Clamdan(t)
- 6.3 Chebyshev Polynomials Tn(x) and Un(x)
- 6.4 Hermite Polynomials Hn(x)
- 6.5 Laguerre Polynomials
- 7: Probability Theory and Statistical Estimation
- 7.1 Introduction
- 7.2 Multivariate Probability Distributions
- 7.3 Expectations and Moments
- 7.4 Variance, Standard Deviation, Covariance, and Correlation
- 7.5 Commonly Encountered Probability Distributions
- 7.6 Central Limit Theorem
- 7.7 Statistical Estimation
- 7.8 Stationary Random Sequence and White Noise
- 8: Fourier Transforms
- 8.1 Fourier Transforms of Continuous Functions
- 8.2 Properties of Fourier Transform
- 8.3 Fourier Transform of Discrete Functions
- 8.4 Fourier Series
- Bibliography
- Volume II: Reactor Design
- 8: Multigroup Neutron Transport and Diffusion Computations
- 1: The Steady-State Boltzmann Equation
- 1.1 The Integro-Differential Form of the Transport Equation
- 1.2 The Characteristic Form of the Transport Equation
- 1.3 The Integral Form of the Transport Equation
- 1.4 Boundary and Continuity Conditions
- 1.5 The Steady-State Source Density
- 1.6 The Transport Correction
- 1.7 Multigroup Discretization
- 2: The First-Order Streaming Operator
- 2.1 Cartesian Coordinate System
- 2.2 Cylindrical Coordinate System
- 2.3 Spherical Coordinate System
- 3: The Spherical Harmonics Method
- 3.1 The Pn Method in 1D Slab Geometry
- 3.1.1 Discretization in Angle
- 3.1.2 Boundary Conditions
- 3.1.3 Difference Relations
- 3.2 The Pn Method in 1D Cylindrical Geometry
- 3.2.1 Discretization in Angle
- 3.2.2 Boundary Conditions
- 3.2.3 Difference Relations
- 3.3 The Pn Method in 1D Spherical Geometry
- 3.3.1 Discretization in Angle
- 3.3.2 Boundary Conditions
- 3.3.3 Difference Relations
- 3.4 The Simplified Pn Method in 2D Cartesian Geometry
- 3.4.1 Discretization in Angle
- 3.4.2 Difference Relations
- 4: The Collision Probability Method
- 4.1 The Interface Current Method
- 4.2 Scattering-Reduced Matrices and Power Iteration
- 4.3 Slab Geometry
- 4.4 Cylindrical 1D Geometry
- 4.5 Spherical 1D Geometry
- 4.6 Unstructured 2D Finite Geometry
- 5: The Discrete Ordinates Method
- 5.1 Quadrature Sets in the Method of Discrete Ordinates
- 5.2 The Difference Relations in 1D Slab Geometry
- 5.3 The Difference Relations in 1D Cylindrical Geometry
- 5.4 The Difference Relations in 1D Spherical Geometry
- 5.5 The Difference Relations in 2D Cartesian Geometry
- 5.6 Synthetic Acceleration
- 6: The Method of Characteristics
- 6.1 The MOC Integration Strategy
- 6.2 Unstructured 2D Finite Geometry
- 6.3 The Algebraic Collapsing Acceleration
- 7: The Steady-State Diffusion Equation
- 7.1 The Fick Law
- 7.2 Continuity and Boundary Conditions
- 7.3 The Finite Homogenous Reactor
- 7.3.1 Cartesian Coordinate System
- 7.3.2 Spherical Coordinate System
- 7.3.3 Cylindrical Coordinate System
- 7.4 The Heterogenous 1D Slab Reactor
- 7.4.1 Two-Region Example
- 8: Discretization of the Neutron Diffusion Equation
- 8.1 Mesh-Corner Finite Differences
- 8.2 Mesh-Centered Finite Differences
- 8.3 A Primal Variational Formulation
- 8.4 The Lagrangian Finite-Element Method
- 8.5 The Analytic Nodal Method in 2D Cartesian Geometry
- Appendix: Tracking of 1D and 2D Geometries
- 1: Tracking of 1D Cylindrical and Spherical Geometries
- 2: The Theory Behind sybt1d
- 3: Tracking of 2D Square Pincell Geometries
- 4: The Theory Behind sybt2d
- References
- 9: Lattice Physics Computations
- 1: Overview
- 1.1 Introduction
- 1.2 Brief History
- 1.3 Cross Section Library
- 1.4 Entering the Resonance Tables
- 1.4.1 Determining Microscopic Background Cross Sections
- Volume Component
- Surface Component
- 1.4.2 Resonance Interference Effects
- 1.5 Condensation Scheme
- 1.5.1 Pin-Cell Calculations
- 1.5.2 Coupling Calculation
- 1.6 Assembly Fine-Mesh Transport Calculation
- 1.6.1 The CCCP Method
- 1.6.2 The Method of Characteristics
- 1.7 Fundamental Mode Calculation
- 1.8 Gamma Transport Calculation
- 1.9 Power Distribution Calculation
- 1.10 Burnup Calculation
- 1.11 Edits
- 1.12 Summary
- 2: Cross Section Library
- 2.1 Objective
- 2.2 Choice of Energy Group Structure
- 2.2.1 WIMS 69: Groups
- 2.2.2 XMAS 172: Groups
- 2.2.3 SHEM 281: Groups
- 2.2.4 Other Energy Group Structures
- 2.3 Cross Sections Used in Lattice Physics Computations
- 2.4 Cross Section Processing
- 2.4.1 Generation of Multigroup Cross Section Data
- MODER
- RECONR
- BROARDR
- THERMR
- UNRESR
- GROUPR
- MATXSR
- OtherModules
- Some Notes on NJOY
- 2.4.2 Execution Control of NJOY
- 2.4.3 Post-Processing for Cross Section Library
- Absorption Cross Section
- Nu-Value and Fission Spectrum
- ScatteringMatrix
- Editing for Cross Section Library
- 2.5 Tabulation and Contents of Cross Section Library
- 2.5.1 General File Format
- 2.5.2 Nuclide Identifiers
- 2.5.3 Dependency of Cross Sections
- 2.5.4 General Data
- 2.5.5 One-Dimensional Data
- Elimination of Zero Elements
- Storage of Variations in Cross Sections
- Reduction of Grid Points for Temperature/Background Cross Sections
- 2.5.6 Two-Dimensional Data
- 2.5.7 Burnup-Related Data
- 2.5.8 Gamma Cross Section Library
- 2.6 Summary*6pt
- 3: Resonance Treatment
- 3.1 Objective
- 3.2 Effective Cross Sections
- 3.3 Physics of Self-Shielding and Major Resonance Calculations
- 3.3.1 Physics of Self-Shielding
- 3.3.2 Ultrafine Energy Group Calculation
- 3.3.3 Equivalence Theory
- 3.3.4 Subgroup Method
- 3.4 Resonance Self-Shielding in a Homogeneous System
- 3.4.1 Slowing Down of Neutrons in a Homogeneous System
- 3.4.2 Narrow Resonance Approximation
- 3.4.3 Wide Resonance Approximation
- 3.4.4 Intermediate Resonance Approximation
- 3.5 Resonance Self-Shielding in a Heterogeneous Systems
- 3.5.1 Neutron Slowing Down in a Heterogeneous Isolated System
- Reciprocity Theorem
- Estimation of Escape Probability and Average Chord Length
- Approximations of Neutron Spectrum in a Heterogeneous System
- 3.5.2 Equivalence Theory
- 3.5.3 Various Approximations for Escape Probability
- Incorporation of the Bell Factor
- N-Terms Rational Approximations
- Carlvik’s Two-TermRational Approximation
- Evaluation of the Effective Cross Section fromN-Term Rational Approximation
- Resonance Integral and Effective Cross Section
- 3.5.4 Neutron Slowing Down in a Heterogeneous Lattice System
- Formulation of Slowing Down Equation in Lattice System
- Dancoff Correction or Dancoff Factor
- Dancoff Correction and Collision Probability in the Moderator
- Dancoff Correction and Escape Probability for an Isolated Fuel Lump
- Equivalence Theory in Lattice System
- 3.5.5 Calculation of the Dancoff Factor and Background Cross Sections
- Calculation of Dancoff Factor Using the Collision Probability Method
- Neutron Current Method for Dancoff Correction Calculation
- Enhanced Neutron Current Method for Background Cross Section Evaluation
- 3.5.6 Stamm'ler's Method for a Heterogeneous Lattice System
- 3.5.7 Potential Limitations of the Equivalence Theory
- 3.6 Tabulation of Self-Shielding Factors
- 3.6.1 Cross Section Processing and Effective Cross Sections
- 3.6.2 Interpolation of Self-Shielding Factor Table
- 3.7 Ultrafine Group Method
- 3.7.1 Homogeneous System
- 3.7.2 Heterogeneous System
- 3.7.3 Limitations of the Ultrafine Energy Groups Method
- 3.8 Subgroup Method
- 3.8.1 General Concept
- 3.8.2 Direct Approach
- 3.8.3 Probability Table Approach
- 3.8.4 Fitting Method
- 3.8.5 Moment Method
- 3.8.6 Improvements in the Probability Table Approach
- 3.9 Other Methods
- 3.9.1 Tone's Method
- 3.9.2 The Stoker–Weiss Method and the Space-Dependent DancoffMethod (SDDM)
- The Stoker–Weiss Method
- Space-Dependent DancoffMethod (SDDM)
- 3.10 Resonance Overlap Effect
- 3.10.1 Overview
- 3.10.2 Resonance Interference Factor (RIF) Table
- 3.10.3 Utilization of an Ultrafine Energy Group Cross Section
- 3.11 Other Topics in Resonance Calculations
- 3.11.1 Effective Temperature Used in Resonance Calculation
- 3.11.2 Temperature Distribution in a Resonance Region
- 3.11.3 Treatment of Number Density Distribution in a Pellet
- 3.11.4 Resonance Calculation for Non-Heavy Nuclides
- 3.11.5 Verification and Validation of Resonance Calculation Model
- 3.12 Summary
- 4: Energy Condensation Scheme
- 4.1 Introduction
- 4.2 Pin-Cell Spectral Calculations
- 4.2.1 General Theory
- 4.2.2 The Method of Collision Probabilities in Slab Geometry
- 4.2.3 The Method of Collision Probabilities in Cylindrical Geometry
- 4.2.4 White Boundary Conditions
- 4.2.5 Buffer Zone
- 4.2.6 Numerics of the Pin-Cell Spectral Calculation
- 4.3 Coupling Calculation
- 4.3.1 The Method of Transmission Probabilities
- 4.3.2 Numerics of the Coupling Calculation
- 4.3.3 Solution to the Response Matrix Equations
- Inner Iterations
- Outer Iterations
- Fundamental Mode Rebalance
- 4.3.4 Geometry of the Coupling Calculation
- 4.4 Cross Section Condensation
- 4.5 Sundries
- 5: Fine-Mesh Assembly Calculation
- 5.1 Introduction
- 5.2 General Theory of the Method of Characteristics
- 5.2.1 Introduction
- 5.2.2 Solution to the Characteristics Form of the Transport Equation
- 5.3 Quadrature Sets
- 5.3.1 Introduction
- 5.3.2 Azimuthal Angles
- 5.3.3 Polar Angles
- 5.4 Geometry Routine
- 5.4.1 Introduction
- 5.4.2 Neutron Streaming and Symmetry in Slab Geometry
- 5.4.3 Ray Tracing in Slab Geometry
- 5.5 Solution to the Characteristics Equation
- 5.5.1 Introduction
- 5.5.2 Initialization of the Flux
- 5.5.3 Calculating the Source Term
- Scattering Source
- Fission Source
- External Source
- Total Source for a Non-Multiplying System
- Total Source for a Multiplying System
- 5.5.4 Boundary Conditions
- Periodic Boundary Conditions
- Reflective Boundary Conditions
- 5.5.5 Convergence
- Convergence of the Angular Flux
- Convergence of the Scalar Flux
- Convergence of the Multiplication Factor
- 5.5.6 Accelerating the Flux Convergence
- Energy Acceleration
- Spatial Acceleration
- 5.6 Cylindrical Geometry
- 5.6.1 Introduction
- 5.6.2 Choosing the Azimuthal Angles of Motion
- Even Angle Distribution
- Even Boundary Distribution
- 5.6.3 An Alternative Tracking Approach
- General Theory
- Example
- Track Adjustments
- 5.6.4 Modification to the Characteristics Equation
- 5.7 Two-Dimensional Geometry
- 5.8 Mesh Subdivisions for Two-Dimensional Problems
- 5.8.1 Assigning Material Regions
- 5.8.2 Meshing
- 5.8.3 Defining Various Cell Types
- 5.8.4 Meshing of Control Blade Cells
- 5.8.5 Final Mesh Layout
- 5.9 Two-Dimensional Ray Tracing
- 5.9.1 The Cyclic Tracking Approach
- 5.9.2 The Macro-Band Approach
- 5.10 Quadrature Sets for Two-Dimensional LWR Lattice Calculations
- 5.10.1 Quadratures for Modeling Polar Motion
- 5.10.2 Quadratures for Modeling Azimuthal Motion
- 5.11 Acceleration Schemes for Two-Dimensional Calculations
- 5.11.1 Coarse Mesh Rebalance
- 5.11.2 Coarse Mesh Finite Difference
- 5.12 Treating Very Thin Cylindrical Regions
- 5.13 Final Comments
- 6: Burnup Calculation
- 6.1 Objective
- 6.2 The Physics of Burnup and its Modeling
- 6.2.1 Phenomena during Burnup
- Depletion of Fissile Nuclides (a)
- Conversion fromFertile Nuclide to Fissile Nuclide (b)
- Production of Fission Products (c)
- Decay
- Transmutation of Nuclides due to Neutron Absorption
- 6.2.2 Burnup Chain
- Design and Setup of Burnup Chain
- Evaluation of Fission-Product Yield
- Estimation of Cross Sections and Yields for Pseudo Fission Products
- Branching Ratio
- 6.2.3 Burnup Equation
- Burnup of a Fissile Nuclide
- Burnup Equation with Multiple Nuclides
- Burnup Equation in General Form
- 6.2.4 Burnup, Burnup Time, and Normalization of Neutron Flux
- Burnup and Burnup Time
- Normalization of Neutron Flux
- 6.3 Numerical Scheme
- 6.3.1 Potential Causes of Error in a Numerical Solution
- Error in Reaction Rate (Production, Absorption, and Decay Rates)
- Temporal Discretization Error of the Differential Equation of Burnup Equation
- Temporal Discretization Error in Reaction Rates of Burnup Equation
- Normalization Error of Thermal Output
- Error in Initial Composition of Fuel
- 6.3.2 General Remarks on Numerical Solutions for the Burnup Equation
- 6.3.3 The Euler Method
- 6.3.4 The Runge–Kutta Method
- 6.3.5 The Matrix Exponential Method
- 6.3.6 The Matrix Decomposition Method
- 6.3.7 Bateman Method
- 6.3.8 The Padé Approximation
- 6.3.9 The Krylov Subspace Method
- 6.3.10 Numerical Example
- 6.3.11 Predictor–Corrector Method
- 6.3.12 Sub-Step Method
- Reduction of Temporal Discretization Error
- Power Normalization during Burnup Step
- 6.3.13 Cooling Calculation
- 135I.(Half-Life 6.7 h).135Xe
- 149Pm.(Half-Life 54: h).149Sm
- 239Np.(Half-Life 2.4 days).239Pu
- 148mPm.(Half-Life 41: days).148Sm
- 148Pm.(Half-Life 2.6 years).148Sm
- 155Eu.(Half-Life 4.7 years).155Gd
- 241Pu.(Half-Life 14.4 years).241Am
- 6.4 Burnup in Gadolinia-Bearing Fuel
- 6.4.1 Onion-Skin Effect
- 6.4.2 Asymmetry Effect in Gadolinium Depletion
- 6.4.3 Various Numerical Techniques for Gadolinium Depletion
- 6.5 Summary
- 7: Case Matrix
- 7.1 Introduction
- 7.2 Cross Section Dependencies in BWRs
- Historical Void
- Exposure
- Void Coefficient
- Fuel Temperature Coefficient
- Moderator Temperature Coefficient
- Control Blade Coefficient
- Control Blade History Coefficient
- Fuel Temperature History Coefficient
- Shutdown Cooling Coefficient
- 7.3 Cross Section Dependencies in PWRs
- Historical Moderator Temperature
- Historical Boron Concentration
- Moderator Temperature Coefficient
- Boron Coefficient
- 7.4 Summary
- 8: Edits
- 8.1 Nomenclature
- 8.2 Various Edits
- 8.3 Neutron Balance
- 9: Concluding Remarks
- References
- 10: Core Isotopic Depletion and Fuel Management
- 1: Burnup and Conversion
- 1.1 Introduction
- 1.2 The Bateman Equation
- 1.3 Solution of the Bateman Equation
- 1.4 Results of Burnup Calculations
- 1.5 The Breeding (Conversion) Ratio
- 1.6 Transmutation
- 1.7 Burnable Poisons
- 2: Transient Fission Products
- 2.1 Transient Fission Product Equations
- 2.2 Xenon Transient Phenomena and Control
- 2.2.1 Global Phenomena
- 2.2.2 Spatial Phenomena
- 3: Nuclear Fuel Management
- 3.1 Introduction
- 3.2 Out-of-Core Nuclear Fuel Management
- 3.3 LWR In-Core Nuclear Fuel Management
- 3.3.1 LWR Loading Pattern Selection
- 3.3.2 LWR Control Rod Programming Selection
- 3.3.3 LWR Lattice and Assembly Selection
- 3.4 Non-LWR In-Core Nuclear Fuel Management
- 3.4.1 Introduction
- 3.4.2 Heavy Water Reactors
- 3.4.3 Very High Temperature Gas-Cooled Reactors
- 3.4.4 Advanced Recycle Reactor
- 3.5 Applications of Mathematical Optimization in Nuclear FuelManagement
- 3.5.1 Introduction
- 3.5.2 Mathematical Optimization Approaches Utilized for Nuclear FuelManagement
- 3.5.3 Application of Mathematical Optimization to Out-of-Core Nuclear FuelManagement
- 3.5.4 Application of Mathematical Optimization to In-Core Nuclear FuelManagement
- 3.6 Computational Design Sequences
- 3.6.1 Design Calculations Needed
- 3.6.2 Cross-Section Generation
- 3.6.3 Core Simulation
- 4: Conclusions
- References
- 11: Radiation Shielding and Radiological Protection
- 1: Radiation Fields and Sources
- 1.1 Radiation Field Variables
- 1.1.1 Direction and Solid Angle Conventions
- 1.1.2 Radiation Fluence
- 1.1.3 Radiation Current or Net Flow
- 1.1.4 Directional Properties of the Radiation Field
- 1.1.5 Angular Properties of the Flow and Flow Rate
- 1.2 Characterization of Radiation Sources
- 1.2.1 General Considerations
- 1.2.2 Neutron Sources
- Fission Sources
- Photoneutrons
- Neutrons from (,n) Reactions
- Activation Neutrons
- Fusion Neutrons
- 1.2.3 Gamma-Ray Sources
- Radioactive Sources
- Prompt Fission Gamma Photons
- Gamma Photons from Fission Products
- Capture Gamma Photons
- Gamma Photons from Inelastic Neutron Scattering
- Activation Gamma Photons
- 1.2.4 X-Ray Sources
- Characteristic X Rays
- Bremsstrahlung
- X-Ray Machines
- 2: Conversion of Fluence to Dose
- 2.1 Local Dosimetric Quantities
- 2.1.1 Energy Imparted and Absorbed Dose
- 2.1.2 Kerma
- 2.1.3 Exposure
- 2.1.4 Local Dose Equivalent Quantities
- Relative Biological Effectiveness
- Linear Energy Transfer
- Radiation Weighting Factor and Dose Equivalent
- 2.2 Evaluation of Local Dose Conversion Coefficients
- 2.2.1 Photon Kerma, Absorbed Dose, and Exposure
- 2.2.2 Neutron Kerma and Absorbed Dose
- 2.3 Phantom-Related Dosimetric Quantities
- 2.3.1 Characterization of Ambient Radiation
- 2.3.2 Dose Conversion Factors for Geometric Phantoms
- Deep Dose Equivalent Index
- Shallow Dose Equivalent Index
- Ambient Dose Equivalent
- Directional Dose Equivalent
- Irradiation Geometries for Spherical Phantoms
- Slab and Cylinder Phantoms
- 2.3.3 Dose Coefficients for Anthropomorphic Phantoms
- Effective Dose Equivalent
- Effective Dose
- 2.3.4 Comparison of Dose Conversion Coefficients
- 3: Basic Methods in Radiation Attenuation Calculations
- 3.1 The Point-Kernel Concept
- 3.1.1 Exponential Attenuation
- 3.1.2 Uncollided Dose from a Monoenergetic Point Source
- Point Source in a Vacuum
- Point Source in a Homogenous Attenuating Medium
- Point Source with a Shield
- 3.2 Uncollided Doses for Distributed Sources
- 3.2.1 The Superposition Procedure
- 3.2.2 Example Calculations for Distributed Sources
- The Line Source
- 4: Photon Attenuation Calculations
- 4.1 The Photon Buildup-Factor Concept
- 4.2 Isotropic, Monoenergetic Sources in Infinite Media
- 4.3 Buildup Factors for Point and Plane Sources
- 4.3.1 Empirical Approximations for Buildup Factors
- The Geometric Progression Approximation
- 4.3.2 Point-Kernel Applications of Buildup Factors
- Line Source in an Infinite Attenuating Medium
- 4.4 Buildup Factors for Heterogenous Media
- 4.4.1 Boundary Effects in Finite Media
- 4.4.2 Treatment of Stratified Media
- 4.5 Broad-Beam Attenuation of Photons
- 4.5.1 Attenuation Factors for Photon Beams
- 4.5.2 Attenuation of Oblique Beams of Photons
- 4.5.3 Attenuation Factors for X-Ray Beams
- 4.5.4 The Half-Value Thickness
- 4.6 Shield Heterogeneities
- 4.6.1 Limiting Case for Small Discontinuities
- 4.6.2 Small Randomly Distributed Discontinuities
- 5: Neutron Shielding
- 5.1 Neutron Versus Photon Calculations
- 5.2 Fission Neutron Attenuation by Hydrogen
- 5.3 Removal Cross Sections
- 5.4 Extensions of the Removal Cross Section Model
- 5.4.1 Effect of Hydrogen Following a Nonhydrogen Shield
- 5.4.2 Homogenous Shields
- 5.4.3 Energy-Dependent Removal Cross Sections
- 5.5 Fast-Neutron Attenuation Without Hydrogen
- 5.6 Intermediate and Thermal Fluences
- 5.6.1 Diffusion Theory for Thermal Neutron Calculations
- 5.6.2 Fermi Age Treatment for Thermal and Intermediate-Energy Neutrons
- 5.6.3 Removal-Diffusion Techniques
- Original Spinney Method
- Improved Removal-Diffusion Methods
- 5.7 Capture-Gamma-Photon Attenuation
- 5.8 Neutron Shielding with Concrete
- 5.8.1 Concrete Slab Shields
- Effect of Water Content
- Effect of Slant Incidence
- Effect of the Aggregate
- Effect of the Fluence-to-Dose Conversion Factor
- 6: The Albedo Method
- 6.1 Differential Number Albedo
- 6.2 Integrals of Albedo Functions
- 6.3 Application of the Albedo Method
- 6.4 Albedo Approximations
- 6.4.1 Photon Albedos
- 6.4.2 Neutron Albedos
- Secondary-Photon Albedos
- 7: Skyshine
- 7.1 Approximations for the LBRF
- 7.1.1 Photon LBRF Approximation
- 7.1.2 Neutron LBRF Approximation
- 7.2 Open Silo Example
- 7.3 Shielded Skyshine Sources
- 7.4 Computational Resources for Skyshine Analyses
- 8: Radiation Streaming Through Ducts
- 8.1 Characterization of Incident Radiation
- 8.2 Line-of-Sight Component for Straight Ducts
- 8.2.1 Line-of-Sight Component for the Cylindrical Duct
- 8.2.2 Line-of-Sight Component for the Rectangular Duct
- 8.3 Wall-Penetration Component for Straight Ducts
- 8.4 Single-Scatter Wall-Reflection Component
- 8.5 Photons in Two-Legged Rectangular Ducts
- 8.6 Neutron Streaming in Straight Ducts
- Single-Wall Scattering
- Multiple-Wall Scattering
- 8.7 Neutron Streaming in Ducts with Bends
- 8.7.1 Two-Legged Ducts
- Neutron Streaming in a Two-Legged Cylindrical Duct
- Neutron Streaming in a Two-Legged Rectangular Duct
- 8.7.2 Neutron Streaming in Ducts with Multiple Bends
- 8.8 Empirical and Experimental Results
- 9: Shield Design
- 9.1 Shielding Design and Optimization
- 9.2 Shielding Materials
- 9.2.1 Natural Materials
- 9.2.2 Concrete
- 9.2.3 Metallic Shielding Materials
- 9.2.4 Special Materials for Neutron Shielding
- Boron for Neutron Attenuation
- Lithium for Neutron Attenuation
- 9.2.5 Materials for Diagnostic X-Ray Facilities
- 9.3 A Review of Software Resources
- 9.4 Shielding Standards
- 10: Health Physics
- 10.1 Deterministic Effects from Large Acute Doses
- 10.1.1 Effects on Individual Cells
- 10.1.2 Deterministic Effects in Organs and Tissues
- 10.1.3 Potentially Lethal Exposure to Low-LET Radiation
- 10.2 Hereditary Illness
- 10.2.1 Classification of Genetic Effects
- 10.2.2 Estimates of Hereditary Illness Risks
- 10.3 Cancer Risks from Radiation Exposures
- 10.3.1 Estimating Radiogenic Cancer Risks
- 10.4 The Dose and Dose-Rate Effectiveness Factor
- 10.4.1 Dose–Response Models for Cancer
- 10.4.2 Average Cancer Risks for Exposed Populations
- 10.5 Radiation Protection Standards
- 10.5.1 Risk-Related Dose Limits
- 10.5.2 The 1987: NCRP Exposure Limits
- Acknowledgments
- References
- 12: High Performance Computing in Nuclear Engineering
- 1: Introduction
- 2: Main Computer and Processor Architectures
- 2.1 Main Architecture Classes for High Performance Computing
- 2.2 SIMD Architectures
- 2.3 MIMD Architectures
- 2.4 Dataflow and Systolic Architectures: Specialized ArchitecturesVersus Generic Ones
- 2.5 Vector Architectures
- 3: Parallelism Models
- 3.1 Overview
- 3.2 Shared Memory Model
- 3.3 Threads Model
- 3.4 Message Passing Model
- 3.5 Data Parallel Model
- 3.6 Other Models
- 3.6.1 Hybrid
- 3.6.2 Single Program Multiple Data (SPMD)
- 3.6.3 Multiple Program Multiple Data (MPMD)
- 3.7 The Different Levels of Parallelism
- 3.7.1 First Level: Distributed Computing
- 3.7.2 Second Level: Coarse Grain Parallel Computing
- 3.7.3 Third Level: Fine Grain Parallel Computing
- 4: Designing Parallel Programs
- 4.1 Automatic Versus Manual Parallelization
- 4.2 Understand the Problem and the Program
- 4.3 Partitioning
- 4.3.1 Domain Decomposition
- 4.3.2 Functional Decomposition
- EcosystemModeling
- Signal Processing
- Climate Modeling
- 4.4 Communications
- 4.4.1 Who Needs Communications?
- You Do Not Need Communications
- You Do Need Communications
- 4.4.2 Factors to Consider
- Cost of Communications
- Latency Versus Bandwidth
- Visibility of Communications
- Synchronous Versus Asynchronous Communications
- Scope of Communications
- Efficiency of Communications
- 4.5 Synchronization
- 4.5.1 Types of Synchronization
- Barrier
- Lock/Semaphore
- Synchronous Communication Operations
- 4.6 Data Dependencies
- 4.6.1 Definition
- 4.6.2 Examples
- 4.6.3 How to Handle Data Dependencies
- 4.7 Load Balancing
- 4.7.1 How to Achieve Load Balance
- Equally Partition theWork Each Task Receives
- Use Dynamic Work Assignment
- 4.8 Granularity
- 4.8.1 Computation/Communication Ratio
- 4.8.2 Fine Grain Parallelism
- 4.9 Limits and Costs of Parallel Programming
- 4.9.1 Amdahl's Law
- 4.9.2 Complexity
- 4.9.3 Portability
- 4.9.4 Resource Requirements
- 4.9.5 Scalability
- 5: Use of HPC for Nuclear Energy Application: Overview
- 5.1 The Virtual Power Plant Challenge
- 5.1.1 Description
- 5.1.2 Motivation
- 5.1.3 Main Challenges
- 5.2 Other Examples and Use
- 6: Illustration of HPC Use on Different Applications
- 6.1 HPC for Reactor Core Simulation
- 6.1.1 Introduction
- 6.1.2 Major Challenges
- 6.1.3 HPC in Monte Carlo Simulations
- Principles for a Parallel Implementation
- Performances
- Future Challenges
- 6.1.4 HPC in Deterministic Simulations
- The Different Level of Parallelism
- First Level: Multiparameterized Calculations
- Second Level: Multi-Domain Calculations
- Third Level: Fine Grain Parallelism Model
- 6.2 HPC for CFD and DNS
- 6.2.1 Main Industrial Issues
- 6.2.2 The Multi-Scale Approach
- 6.2.3 HPC for DNS
- 6.2.4 HPC for LES
- 6.2.5 Other Fields
- 6.3 High Performance Computing for Materials Science
- 6.3.1 Introduction
- 6.3.2 Theoretical and Computational Methods
- 6.3.3 Models and Simulations of Nuclear Fuels and Structural Materials
- 6.3.4 Fuel Performance Codes
- 6.3.5 Conclusions
- 7: Conclusion and Open Issues
- References
- Volume III: Reactor Analysis
- 13: Analysis of Reactor Fuel Rod Behavior
- 1: Introduction
- 2: The LWR Fuel Element: A General Outline
- 2.1 The Fuel Pellet
- 2.2 The Fuel Rod
- 2.3 The Fuel Element
- 3: Properties of Oxide Nuclear Fuel
- 3.1 Structure and Thermal Expansion
- 3.2 Thermal Conductivity
- 3.2.1 UO2
- 3.2.2 Mixed Oxides
- 3.2.3 Effects of Irradiation
- 3.3 Heat Capacity
- 3.4 Melting Temperature
- 4: Properties of Cladding Materials for LWRs Fuel
- 4.1 Composition
- 4.2 Microstructure
- 4.3 Thermal Properties
- 4.3.1 Linear Thermal Expansion
- 4.3.2 Thermal Conductivity
- 4.3.3 Specific Heat Capacity
- 4.3.4 Emissivity
- 4.4 Mechanical Properties
- 4.4.1 Elastic Constants
- 4.4.2 Plastic Deformation
- 4.5 Irradiation Effects
- 4.5.1 Irradiation-Induced Growth
- 4.5.2 Irradiation-Induced Hardening
- 4.5.3 Irradiation-Induced Creep
- 4.5.4 Corrosion and Hydrogen Pickup
- 4.6 High-Temperature Effects
- 4.6.1 High-Temperature Corrosion
- 4.6.2 High-Temperature Deformation
- 5: Basic Phenomena for In-Reactor Performance
- 5.1 Neutronic Aspects of Nuclear Fuel Rods
- 5.1.1 Nuclide Evolution in Nuclear Fuel
- 5.1.2 The Basic Equations
- 5.1.3 Burnable Absorbers
- 5.2 Heat Transfer and Thermal Characteristics
- 5.2.1 Axial Heat Transport in the Coolant
- 5.2.2 Heat Transport through the Cladding
- 5.2.3 Heat Transport from the Cladding to the Fuel Pellet
- 5.2.4 Effects of Irradiation on Gap Conductance
- 5.2.5 Heat Transport in the Fuel Pellet
- 5.3 Mechanical Behavior
- 5.3.1 Main Assumptions and Equations
- 5.3.2 Calculation of Strains
- Elastic Strain
- Nonelastic Strain
- 5.3.3 Boundary Conditions
- Radial Boundary Conditions
- Axial Boundary Conditions
- 5.4 Fission Gas Behavior
- 5.4.1 Basic Mechanisms
- Recoil, Knockout and Sputtering
- Lattice Diffusion of Single Gas Atoms
- Trapping
- Irradiation-Induced Resolution
- Grain Boundary Diffusion
- Grain Boundary Sweeping or Grain Growth
- Bubble Migration
- Bubble Interconnection
- 5.4.2 Modeling the Fission Gas Behavior
- Intragranular Behavior
- Intergranular Behavior
- Coupling Intra and Intergranular Behavior
- Swelling
- 6: Typical Phenomena and Issues in the Design and Licensingof LWR Fuels
- 6.1 High Burnup Structure
- 6.1.1 Characteristics of the High Burnup Structure
- 6.1.2 Importance of the High Burnup Structure
- 6.1.3 Modeling of the High Burnup Structure
- 6.2 Pellet-Cladding Interaction
- 6.2.1 Pellet-Cladding Mechanical Interaction
- 6.2.2 Irradiation–Induced Stress Corrosion Cracking
- Sufficient Stress
- Sufficient Time
- Susceptible Material
- Proper Chemical Environment
- Mitigating PCI
- Modeling PCI
- 6.2.3 Outside-In Cracking Caused by Power Ramps
- 6.3 Pellet-Coolant Interaction
- 6.4 Loss-of-Coolant Accidents
- 6.4.1 Sequence of Events during a LOCA
- 6.4.2 Main Characteristics of a LOCA Failure
- 6.4.3 Current LOCA Safety Criteria
- LOCA Criterion Based on Zero-Ductility
- LOCA Criterion Based on Integral Quench Tests
- 6.4.4 Extension to High Burnup Fuel
- Zero-Ductility Limit at High Burnup
- LOCA High Burnup Limit from Integral Quench Tests
- 6.5 Reactivity-Initiated Accidents
- 6.5.1 Sequence of Events during a RIA
- 6.5.2 Main Characteristics of RIA Failures
- 6.5.3 RIA Safety Criteria
- 7: Uncertainty Analysis
- 8: Outlook
- Acknowledgment
- References
- 14: Noise Techniques in Nuclear Systems
- 1: Introduction
- 2: Zero Power Reactor Noise
- 2.1 Methodology of Zero Power Neutron Noise
- 2.1.1 Forward Approach
- 2.1.2 Backward Approach
- 2.2 Reactivity Measurements in Traditional Systems with StationaryPoisson Sources
- 2.2.1 The Feynman-Alpha (Variance to Mean) Method
- 2.2.2 The Rossi-Alpha (Correlation) Method
- 2.2.3 The Bennett Variance Method
- 2.2.4 Mogilner's Zero Crossing Method
- 2.2.5 The Cf-252: Method
- 2.3 Reactivity Measurements in ADS
- 2.3.1 Spallation Source
- 2.3.2 Pulsed Source in Feynman- and Rossi-Alpha Applications
- 2.3.3 Feynman-Alpha with Deterministic Pulsing
- 2.3.4 Feynman-Alpha with Stochastic Pulsing
- 2.3.5 Rossi-Alpha with Stochastic Pulsing
- 2.4 Pulse Counting Techniques in Nuclear MaterialManagement (Safeguards)
- 2.4.1 Neutron Factorial Moments
- 2.4.2 Gamma Photon Factorial Moments
- 2.4.3 Mixed Moments
- 2.4.4 Multiplicity Detection Rates
- 3: Power Reactor Noise Theory
- 3.1 Basic Principles
- 3.2 Space-Time Dependent Reactor Kinetics in Diffusion Theory
- 3.2.1 Static Equations
- One-GroupTheory
- Two-GroupTheory
- 3.2.2 Time-Dependent One-Group Diffusion Equations
- 3.2.3 The Flux Factorization and the Kinetic Approximations
- The Point Reactor Approximation
- The Adiabatic Approximation
- 3.3 Small Space-Time Dependent Fluctuations: Power Reactor Noise
- 3.3.1 Neutron Noise in One-Group Diffusion Theory
- 3.3.2 The Factorization of the Neutron Noise
- Determination of the Fluctuations of the Amplitude Factor
- Determination of the Fluctuations of the Shape Function
- Full Solution in One-Group Diffusion Theory
- 3.3.3 Neutron Noise in Two-Group Diffusion Theory: The Local Component
- Direct Approach: the Green’s Function Matrix
- Adjoint Approach: The Dynamic Adjoint Function
- 4: Applications of Power Reactor Noise Diagnostics
- 4.1 Unfolding Noise Source Parameters with Noise Diagnostics
- 4.1.1 Localization of Absorbers of Variable Strength
- 4.1.2 Localization of Vibrating Control Rods
- 4.1.3 Flow Velocity Estimations
- Flow Velocity Estimations in BWRs fromthe Neutron Noise
- Flow velocity Estimations in PWRs from Temperature and Neutron Noise
- 4.1.4 Miscellaneous Other Applications
- Diagnostics of Core-Barrel Vibrations in PWRs
- Detection of Impacting Detector Strings in BWRs
- 5: Special Noise Techniques: Determination of Core GlobalDynamical Parameters
- 5.1 Determination of the Decay Ratio in BWRs
- 5.1.1 Stability Indicator
- 5.1.2 Stability Mechanism of a BWR
- 5.1.3 Types of BWR Instabilities
- 5.1.4 Combined Types of Oscillations
- 5.2 Determination of the Moderator Temperature Coefficient ofReactivity in PWRs
- 5.2.1 Definition of the MTC
- 5.2.2 Derivation of the MTC Noise Estimate
- 5.2.3 Measurement by Noise Analysis Technique
- 5.2.4 Elaboration of a Correct MTC Noise Estimator
- 6: Conclusions and Open Issues
- Acknowledgments
- References
- 15: Deterministic and Probabilistic Safety Analysis
- 1: Origin and Methodological Framework of DeterministicSafety Analysis
- 1.1 Origin of Nuclear Power Safety and Regulation
- 1.1.1 First Implementation of Nuclear Safety in the USA
- 1.1.2 Reactor Design Safety by Du Pont Engineers
- 1.1.3 US Atomic Energy Commission
- 1.1.4 International Atomic Energy Agency (IAEA)
- 1.2 Evolution of Methods for Safety Assurance
- 1.3 Defense-in-Depth
- 1.4 Design Basis Accidents
- 1.5 Single Failure Criterion
- 1.6 Accident Types
- 1.6.1 Loss of Coolant Accidents
- 1.6.2 Transient Events
- 1.7 General Design Criteria
- 1.7.1 Quality Control Criterion
- 1.7.2 Design Bases for Protection against Natural Phenomena
- 1.7.3 Fire Protection
- 1.7.4 Environmental and Dynamic Effects Design Bases
- 1.7.5 Sharing of SSCs
- 1.7.6 Proven Engineering Practices
- 1.7.7 Quality Assurance
- 1.7.8 Self-Assessment
- 1.7.9 Peer Reviews
- 1.7.10 Human Factors
- 1.7.11 Safety Assessment and Verification
- 1.7.12 Radiation Protection
- 1.7.13 Operating Experience and Safety Research
- 1.7.14 Defense against Severe Accidents
- 1.8 Requirements and Standards for Nuclear Safety
- 1.8.1 American National Standard Nuclear Safety Criteria
- 1.9 US Regulatory Requirements for Deterministic Safety Analyses
- 1.10 Safety Features for Future Nuclear Plants
- 2: Evolution of Probabilistic Safety Assessment and Applications
- 2.1 Safety Issues in Nuclear and Aerospace Industries
- 2.1.1 Safety Issues in Nuclear Industry
- 2.1.2 Safety Issues in Aerospace Industry
- 2.2 Reactor Safety Study (WASH-1400)
- 2.2.1 Motivation – ECCS Issue and Loss of Fluid Tests
- 2.2.2 RSS Staff
- 2.2.3 Fault Trees and Event Trees
- 2.2.4 Initiating Events
- 2.2.5 Failure Data
- 2.2.6 Uncertainty Analysis
- 2.2.7 Sensitivity Analysis
- 2.2.8 Consequence Analysis
- 2.2.9 Release Categories
- 2.2.10 Comparison with Other Risks
- 2.2.11 RSS Results
- 2.2.12 APS Review
- 2.3 Post-RSS Review and the Three Mile Island Accident
- 2.4 Post-TMI Accident and Revival of the Use of PSA
- 2.5 Safety Goals
- 2.6 NUREG-1150 Studies
- 2.7 IPE and IPEEE
- 2.8 NRC'S PRA Policy Statement
- 2.9 EPRI's PSA Applications Guide
- 2.10 Guidelines for Risk-Informed Regulation
- 2.11 Reactor Oversight Process
- 2.12 Maintenance Rule
- 2.13 Risk-Informed Improvement to Technical Specifications
- 2.14 Risk-Informed Licensing Structure for Design Safety
- 3: Probabilistic Safety Assessment
- 3.1 Strength of PSA
- 3.2 Steps in Conducting a Probabilistic Safety Assessment
- 3.2.1 Objectives and Methodology
- 3.2.2 Familiarization and Information Assembly
- 3.2.3 Identification of Initiating Events
- 3.2.4 Sequence or Scenario Development
- 3.2.5 Logic Modeling
- 3.2.6 Failure Data Collection, Analysis and Performance Assessment
- 3.2.7 Quantification and Integration
- 3.2.8 Uncertainty Analysis
- 3.2.9 Sensitivity Analysis
- 3.2.10 Risk Ranking and Importance Analysis
- 3.2.11 Interpretation of Results
- 3.3 A Simple Example of PSA
- Identification of Initiating Events
- Scenario Development
- Logic Modeling
- Failure Data Analysis
- Quantification
- 3.4 Future Outlook of Safety Analysis and Research Needs
- References
- 16: Multiphase Flows: Compressible Multi-Hydrodynamics
- 1: Introduction and Scope I
- 2: Basics of Coarse-Graining
- 2.1 The Two-Fluid Model
- 2.2 The Kinetic Theory Model
- 2.3 The Hybrid (Symmetry-Breaking) Model
- 3: A General Formulation
- 4: Non-Dissipative Model
- 4.1 Rigid Particles
- 4.1.1 Rigid Particles, No Velocity Fluctuations
- 4.1.2 Rigid Particles with Added-Mass Velocity Fluctuations
- 4.2 Compressible Particles
- 5: Dissipative Model
- 5.1 Noncompressible Particles: Solid Grains or Drops
- 5.1.1 The Dissipation Rate
- 5.1.2 The Constitutive Laws
- 5.2 Compressible Particles: Bubbles
- 5.2.1 The Dissipation Rate
- 5.2.2 The Constitutive Laws
- 5.3 Final Form of the Model*-20pt
- 6: Summary of Key Results
- 6.1 Hybrid Approach for Dispersed Mixtures
- 6.2 Supplementary Equations
- 6.2.1 Pseudo-Turbulent Kinetic Energies
- 6.2.2 Volume Fraction Transport
- 6.2.3 Interfacial Energy Transport
- 6.2.4 Particle Deformation and Dynamics of Interfaces
- 6.3 Hyperbolicity
- 6.4 Nuclear Reactor (Design) Systems Codes
- Acknowledgments
- A: Rigid Spheres in a Nonviscous Fluid
- B: Hyperbolicity Aspects of the Effective Field Model
- C: Including Surface Tension
- PART II: COMPUTATION WITH EFFECTIVE-FIELD MODELS OFMULTIPHASE FLOWS
- 7: Introduction and Scope II
- 8: Strategy for Computing Compressible Multi-Hydrodynamics
- 9: Basics: The Riemann Problem and the Godunov Method
- 9.1 The Riemann Problem
- 9.2 The Godunov Method
- 10: Approximate Flux ``Splitting'' Schemes for Single Phase Flows
- 10.1 Characteristics-Based Flux Splitting
- 10.2 Direct Flux Splitting
- Remarks on Performance
- 10.3 Advection Upstream Splitting
- Remarks on Performance
- 11: Advection Upstream Splitting for the Effective Field Model
- 11.1 Recasting the System of Equations in Quasi-Conservative Form
- 11.2 Numerical Discretization
- 11.3 Time Integration
- 12: Numerical Testing in the ARMS Code
- 12.1 Uniformly Translating Body-and-Fluid System
- 12.2 The Faucet Problem
- 12.3 Fitt's Problem
- 12.4 Shock Tube Problems
- 12.5 Particle Cloud Dynamics in Gaseous Shocks
- 13: Conclusions and Outlook
- D: Sample Computational Results
- Acknowledgment
- References
- Part I
- Part II
- 17: Sensitivity and Uncertainty Analysis, Data Assimilation
- 1: Introduction
- 2: Measurement Uncertainties
- 2.1 Basic Concepts
- 2.2 Classification of Measurement Errors
- 2.3 Probabilities and Relative Frequencies: Random and Systematic Errors
- 2.4 Direct Measurements
- 2.5 Indirect Measurements: Propagation of Errors
- 2.6 Glossary
- 3: Statistical Methods for Sensitivity and Uncertainty Analysis
- 3.1 Reliability Algorithms: FORM and SORM
- 3.2 Design of Experiments and Screening Design Methods
- 3.3 Sampling-Based Methods
- 3.4 Variance-Based Methods
- 4: Deterministic Computation of Response Sensitivities to ParametersUsing Adjoint Operators
- 4.1 Introduction
- 4.2 Sensitivity Analysis of Nonlinear and Linear Systems with Feedbackand Operator-Type Responses
- 4.2.1 The Forward Sensitivity Analysis Procedure (FSAP)
- 4.2.2 Adjoint (Local) Sensitivity Analysis Procedure (ASAP)
- 4.3 Sensitivity Analysis of Augmented Systems with Feedback
- 4.3.1 The Forward Sensitivity Analysis Procedure (FSAP)
- 4.3.2 The Adjoint Sensitivity Analysis Procedure (ASAP)
- 4.4 Illustrative Application of ASAP: Adjoint Sensitivity Analysis ofMarkov Dynamic Reliability Models
- 4.5 Global Optimization and Sensitivity Analysis
- 4.5.1 Critical Points and Global Optimization
- 4.5.2 Sensitivity Analysis
- 4.5.3 Global Computation of Fixed Points
- 5: Probability Theory and Uncertainty Information
- 5.1 Assigning Priors under Incomplete Knowledge: Group Theory andEntropy Maximization
- 5.2 Recommending Nominal Values and Uncertainties: Decision Theory
- 6: Model Calibration Through Data Assimilation for Best-EstimatePredictions
- 6.1 Introduction
- 6.2 Mathematical Formalism
- 6.3 Data Consistency and Rejection Criteria
- 6.4 Illustrative Application to Model Calibration for a BenchmarkBlowdown Experiment
- 7: Model Validation and Calibration: Concluding Remarks andOpen Issues
- References
- 18: Reactor Physics Experiments on Zero Power Reactors
- 1: The Contribution of CEA Critical Mock-Ups in Nuclear ReactorSimulation
- 2: Description of the EOLE Mock-Up
- 3: Experimental Programs on the EOLE Mock-Up
- 3.1 The EPICURE Program
- 3.2 The MISTRAL Program
- 3.3 The BASALA Program
- 3.4 The ADAPh Program
- 3.5 The FUBILA Program
- 3.6 The FLUOLE Program
- 3.6.1 Reason for the Program
- 3.6.2 Characteristics of the FLUOLE Program
- 3.7 The PERLE Program
- 3.7.1 Reason for the Program
- 3.7.2 PERLE Program Characteristics
- The Homogeneous Configuration
- Configuration with “EPR Type Reflector”
- 3.8 The AMMON Program and the Jules Horowitz Reactor
- 3.9 MOX Powder Criticality Requirements
- 3.10 Criticality at Loading
- 3.11 Plutonium and High Combustion Rate Control. EPR Support
- 3.12 Support Program for CELESTIN Reactors
- 3.13 An Experimental Platform
- 3.14 Support for Generation IV Reactor Concepts
- 3.15 Conclusions
- 4: Description of the MINERVE Reactor
- 4.1 General Description
- 4.1.1 The Cavity
- 4.1.2 Driver Zone Fuel Elements
- 4.1.3 The External Reflector
- 4.1.4 The Central Cavity
- 4.1.5 Control-Command
- 4.2 Advantages of the MINERVE Reactor
- 4.3 Coupled Assemblies
- 4.3.1 MELODIE Assembly Representative of Pressurized Water Lattices
- General Description
- R1-UO2: Lattice Representative of a UO2-PWR Spectrum
- R1-MOX Lattice Representative of a MOX-PWR Spectrum
- R2-UO2: Lattice Representative of a Dissolver Spectrum
- BWR Lattice
- 4.3.2 MORGANE Assembly for Lattices Representative of Under-ModeratedReactors (RSM)
- General Description
- MORGANE-R Lattice
- MORGANE-S Lattice
- 4.3.3 ERMINE Assembly for Fast Neutron Multiplier Lattices
- 4.3.4 ELOISE Assembly for Heavy Water Moderated Lattices
- 5: Experimental Programs in the MINERVE Reactor
- 5.1 Main Programs Achieved Between 1959: and 1990
- 5.2 The CREDIT BURN UP Program (From 1993: to 2001)
- 5.3 The CERES Program (From 1992: to 1995)
- 5.4 The High Burn-Up (HTC) Program (From 2003: to 2004)
- 5.5 The VALMONT Program (2003–2004)
- 5.6 The ADAPh Program (2005)
- 5.7 The OSMOSE Program
- 5.8 The OCEAN Program
- 5.9 Training Activities
- 5.9.1 EDF Training
- 5.9.2 INSTN Training
- 5.9.3 Other Training
- 5.10 The Gas Fast Reactor (GFR) Program
- 5.11 The HTR Program
- 5.12 HTC Program Supplement
- 5.13 Program on Structure Materials and Moderators
- 5.14 FP and Absorber Supplementary Program
- 5.15 Program in Support of JHR for Qualification of HORUS3D for U3Si2
- 5.16 Cadmium Measurements
- 5.17 Other Programs
- 5.18 Conclusion
- 6: Description of the MASURCA Reactor
- 6.1 Core Building Principles
- 6.2 Simulation Materials
- 7: Experimental Programs in MASURCA
- 7.1 The RZ and PLUTO Programs (1969–1975)
- 7.2 The PECORE Program (1975)
- 7.3 The PRE RACINE and RACINE Programs (1976–1984)
- 7.4 The BALZAC Program (1985–1988)
- 7.5 The CONRAD Program (1989–1992)
- 7.6 The BERENICE Program (1993)
- 7.7 The CIRANO Program (1994–1997)
- 7.8 The COSMO Program (1998–1999)
- 7.9 The MUSE Program (2000–2004)
- 7.10 The Facility Refurbishment Project
- 7.11 A Program in Support of SFR and the 2020 Prototype: GENESIS
- 7.12 A Program in Support of GFR: ENIGMA
- 7.13 A ``FBR Large Cores'' Generic Study Program
- 7.14 A ``Reflector and Shield'' Program
- 7.15 A ``Deteriorated and Accidental Configuration'' Program
- 8: Experimental Methods Used and Being Developed on These CriticalMock-Ups
- 8.1 The Main Measuring Techniques Used
- 8.1.1 Measurements by Miniature Fission Chambers
- 8.1.2 Measurements by Spectrometry
- 8.2 Classification
- 8.3 Measurement Electronics at EOLE/MINERVE
- 8.3.1 gamma Spectrometry Benches
- 8.3.2 Automatic Changer
- 8.3.3 Use of DSP
- 8.4 Fission Chambers
- 8.5 Gamma Ionization Chambers
- 8.6 Fissile and Activation Detectors
- 8.7 Procedures Linked to the Oscillation Technique
- 8.7.1 Oscillator
- 8.7.2 The Automatic Pilot Rod
- 8.7.3 Acquisition and Online Processing System for Oscillation Measurements
- 8.7.4 Active Sample Handling Equipment
- 8.7.5 Oscillation Samples
- Sample Origin and Manufacturing
- Sample Transport and Transfer
- 9: Integral Parameter Determination Through Experiment
- 9.1 Critical Size
- 9.1.1 Application of Critical Size Determination
- 9.2 Reactivity Effect Measurements
- 9.2.1 Reactivity Worth Measurement by Inverse Kinetics
- 9.2.2 Reactivity Effects by Subcritical Measurements
- 9.2.3 Principle of Subcritical Measurements
- 9.2.4 Amplified Source Method (ASM)
- 9.2.5 Modified Source Multiplication (MSM) Method
- 9.2.6 Practical Implementation of ASM and MSM Subcritical Measurements
- 9.2.7 Associated Uncertainties
- 9.2.8 Example: Isothermal Temperature Coefficient (ITC)
- 9.2.9 Reactivity Effect Measurements by Sample Oscillation
- Principle
- Practical Implementation
- Calibration of the Automatic Pilot Rod
- Signal Calibration
- 9.3 Measurement of Fission Rate Distributions
- 9.3.1 Distributions by Fission Chambers
- RadialMeasurements
- AxialMeasurements
- 9.3.2 Distributions by Integral Gamma Spectrometry
- RadialMeasurements
- AxialMeasurements
- 9.3.3 Particular Use of Fission Rate Distributions: The Buckling Estimation
- 9.3.4 Determination of the Reflector Saving
- 9.3.5 Adjustment of Fission Maps by Particular Peaks
- Principle of Peak Check Technique
- Associated Uncertainties
- 9.4 Spectral Indexes
- 9.4.1 Basic Principle
- Some Examples
- 9.4.2 Modified Conversion Factor
- 9.5 gamma Heating Measurements
- 9.5.1 Principle
- 9.5.2 gamma Dose Calculation
- 9.5.3 The Different Types of TLDs Used
- 9.6 Neutron Noise Measurements
- 9.6.1 The Power Spectral Density (PSD) Method
- 9.6.2 Experimental Principle
- 10: Conclusion
- References
- Generalities
- Programmes in EOLE
- Programmes in MINERVE
- Programmes inMASURCA
- Experimental Techniques andMethods
- Volume IV: Reactors of Generations III and IV
- 19: Pressurized LWRs and HWRs in the Republic of Korea
- 1: New Pressurized LWRs Built (or To Be Built)in the Republic of Korea
- 1.1 Introduction
- 1.2 OPR1000 (Optimized Power Reactor 1000)
- 1.2.1 Design Description
- Building and Structure
- Primary System
- Secondary System
- Control and Electrical Systems
- 1.2.2 Major Safety Design Features
- Safety
- Severe Accident
- 1.3 APR1400 (Advanced Power Reactor 1400)
- 1.3.1 Design Description
- Building and Structure
- Primary System
- Secondary System
- MMIS and Electrical System
- 1.3.2 Major Safety Design Features
- Safety
- Severe Accident
- Proven and Evolutionary Technology
- 1.4 Operation and Construction
- 1.4.1 Status of Operation
- 1.4.2 Construction
- Reactor Containment Building Work
- Modularization
- APR1400 Construction Schedule
- 2: CANDU Reactors in the Republic of Korea
- 2.1 Introduction
- 2.2 System Description
- 2.2.1 CANDU Reactor Model
- 2.2.2 Primary Heat Transport System (PHTS)
- 2.2.3 Moderator System
- 2.2.4 Emergency Core Cooling System (ECCS)
- 2.2.5 Shutdown System
- 2.2.6 Containment System
- 2.3 Major Safety Design Features
- 2.3.1 Defense in Depth
- Two Group Concept
- Redundancy
- Separation
- Fail-Safe Feature
- 2.3.2 Availability
- 2.4 Status of Operation
- 2.5 Spent Fuel Storage Facility
- 2.5.1 Wet Storage of Spent CANDU Fuel
- 2.5.2 Dry Storage of Spent CANDU Fuel
- 3: Conclusions
- References
- 20: VVER-Type Reactors of Russian Design
- 1: Introduction
- 2: VVER-440 Reactors
- 2.1 Design Description
- 2.1.1 Buildings and Structures
- Reactor Building
- Pressure Relief Tower
- Auxiliary Building
- Turbine Building
- 2.1.2 Systems of the Primary Circuit
- Reactor Coolant System
- Reactor Vessel and Internals
- Reactor Core
- Reactor Coolant Pump
- Pressurizer
- SteamGenerator
- Chemical and Volume Control System
- 2.1.3 Systems of the Secondary Circuit
- Main Steam Line System
- Main Feedwater System
- Turbine
- Generator
- Moisture Separator–Reheater
- 2.1.4 Instrumentation and Electrical Systems
- Instrumentation and Control Systems
- Main Control Room
- Electrical Systems
- 2.2 Basic Safety Properties
- 2.2.1 Safety Philosophy
- 2.2.2 Safety Systems and Properties
- 2.2.3 Maximum Design Basis Accident
- 2.2.4 Severe Accidents
- 2.2.5 Seismic Design
- 2.3 Operational Experience and Decommissioning
- 2.3.1 Operational Experience
- 2.3.2 Life-Time Extension
- 3: VVER-1000 Reactors
- 3.1 Design Description
- 3.1.1 Buildings and Structures
- Reactor Building
- Auxiliary Building
- Turbine Building
- 3.1.2 Systems of Primary Circuit
- Reactor Coolant System
- Reactor Vessel and Internals
- Reactor Coolant Pump
- Pressurizer
- SteamGenerator
- Chemical and Volume Control System
- 3.1.3 Secondary-Side Systems
- Main Steam Line System
- Main Feedwater System
- Turbine
- Generator
- 3.1.4 I&C and Electrical Systems
- I&C System
- Main Control Room
- Electrical Systems
- 3.2 Main Aspects of VVER-1000 Safety
- 3.2.1 Safety Philosophy
- 3.2.2 Safety Systems and Distinctive Features
- Protective Systems
- Localizing Systems
- Supporting Systems
- Control Systems
- 3.2.3 Maximum Design Basis Accident
- 3.2.4 Severe Accidents
- 3.2.5 Seismic Design
- 3.3 Operational Experience
- 4: Conclusion
- 21: Sodium Fast Reactor Design
- 1: Motivations for Fast Neutron Systems
- 1.1 Basic Principles and Consequences
- 1.1.1 Conditions for Breeding
- 1.1.2 Simplified Neutronic Balance in a PWR
- 1.1.3 Simplified Neutronic Balance in a FBR
- 1.1.4 Balances Comparison
- 1.2 Effective Utilization of Resources
- 1.2.1 Uranium Resources and Breeding
- 1.3 Flexible Use of Actinides
- 1.4 Waste Minimization*6pt
- 2: SFR History and Current Projects
- 2.1 Overview
- 2.2 USA
- 2.3 Russia
- 2.4 Europe
- 2.4.1 France
- 2.4.2 UK
- 2.4.3 Germany
- 2.4.4 Italy
- 2.4.5 Belgium, Netherland
- 2.4.6 Multinational Project: EFR
- 2.5 Japan
- 2.5.1 Joyo
- 2.5.2 Monju
- 2.5.3 Rapid-L
- 2.5.4 L-4S "Nuclear Battery''
- 2.5.5 Commercial Fast Reactor Development Program
- 2.6 India
- 2.6.1 FBTR
- 2.6.2 PFBR
- 2.7 China
- 2.8 Korea
- 3: Basic Design Choices
- 3.1 Sodium as Coolant
- 3.1.1 Physical Properties
- 3.1.2 Chemical Properties
- 3.1.3 Neutronic Properties
- 3.2 Fuel Design
- 3.2.1 Fuel Element
- 3.2.2 Fuel Subassembly
- 3.3 Pool/Loop and Modular Design
- 3.3.1 Features of the Primary Circuit Concepts
- 3.3.2 Pool Concept: Motivation and Challenges
- 3.3.3 Loop Concept: Motivation and Challenges
- 3.3.4 Modular Concept: Motivation and Challenges
- 3.4 Main Components and Systems
- 3.4.1 Description of Heat Transport Circuits and Components
- 3.4.2 Primary Component Layout on the Top Shield
- 3.4.3 Reactor Assembly Support Options
- 3.4.4 Basic Design Options of Primary Circuit Components
- 3.4.5 Design Improvements for Future SFRs
- 3.4.6 Intermediate Circuits and Steam Generator
- 3.4.7 Summary
- 3.5 Fuel Handling
- 3.5.1 Function
- 3.5.2 Classification
- 3.5.3 On-Line Verus Off-Line Refuelling
- 3.5.4 Fresh Subassembly Handling
- 3.5.5 Spent Subassembly Handling
- 3.5.6 In-Vessel/Ex-Vessel Storage to Reduce Decay Heat of Subassembly
- In-Vessel Handling
- Ex-Vessel Handling
- 3.5.7 Design Validation
- 3.5.8 Innovative Fuel Handling Concepts
- 3.6 Recent Evolution
- 3.6.1 Intermediate Coupling Fluid
- Fluid Preselection
- Evaluation Method
- Results
- Key features for the Pb-Bi alloy
- Impact on Design
- Conclusions
- 3.6.2 Advanced Energy Conversion System
- Introduction
- Design Consideration for Brayton Cycle
- Classical Indirect Gas ECS
- Indirect/Combined ECS
- Supercritical Carbon Dioxide Indirect ECS
- Synthesis and Future Prospects of Advanced ECS
- Nomenclature
- 3.6.3 Plant Layout
- Reactor Building
- Crane Hall
- Above Roof Area
- Reactor Service Area
- Fuel and Component Handling Area
- Steam Generator and DHR Buildings
- Plant Layout
- 4: Safety Principles
- 4.1 Introduction
- 4.2 Safety Features Associated with Sodium
- 4.2.1 Physical Properties
- 4.2.2 Nuclear Properties
- 4.2.3 Chemical Reactions
- 4.2.4 Thermalhydraulics and Structural Mechanics Considerations
- 4.3 Safety Objectives and Principles Applicable for Future Reactors
- 4.4 The Defense in Depth Principle
- 4.4.1 The Levels of the Defense in Depth
- 4.4.2 Objectives and Scope of Defense in Depth
- 4.5 Safety Approach for the SFR to Address the Severe Plant Conditions
- 4.6 SFR: Safety Demonstration vis-à-vis of the Whole Core Melting
- 4.6.1 Prevention of Whole Core Melting Situations
- 4.6.2 Whole Core Melt Situations: Consequences' Control and Mitigation
- Implementation of Provisions Allowing Mastering the Consequences of the Whole Core Accident
- Main Phenomena Which Can Lead the Release ofMechanical Energy
- Radiological Consequences
- 4.6.3 Initiating Events, Sequences, and Situations ``Practically Eliminated''
- 4.6.4 Control and Management of the Safety Functions
- Reactivity Control
- Decay Heat Removal
- Confinement of Radioactive and HarmfulMaterials
- 4.6.5 Other Specific Risks
- Sodium Fires
- 4.6.6 Hazards
- 4.7 R&D Organization
- 4.8 Conclusions
- 5: The Materials
- 5.1 Fuel Materials
- 5.1.1 Oxide
- Fuel Element Characteristics
- Irradiation Conditions in Nominal Operation
- Temperatures in the Fuel Element
- Beginning of Life Phenomena
- Phenomena Occurring During the Life in Reactor
- 5.1.2 Metal
- 5.1.3 Properties of Metal Fuel for Design
- Phase Diagram
- Thermal Conductivity of Fuel
- Thermal Conductivity of Fuel with Burnup
- Coefficient of Thermal Expansion of Fuel
- Fission Gas Release
- Hardness ofMaterial – U-15Wt% Pu-6.8Wt%Zr
- Behavior under Irradiation
- 5.1.4 Carbide and Nitride
- Properties of Dense Ceramic Fuels
- Design of Dense Ceramic Fuel Pins
- Conclusion
- 5.2 Structural Materials
- 5.3 Absorber Materials
- 5.3.1 Introduction
- Russia
- France
- Japan
- Main Control Rods Characteristics
- 5.3.2 Boron Carbide
- Properties
- Behavior under Neutron Irradiation
- 5.3.3 Absorber Pins
- 5.3.4 Developments
- 5.4 Shield Materials
- 5.4.1 Vessel Shielding
- 5.4.2 Sodium Activation
- 6: Core Design
- 6.1 Performances Objectives and Design Criteria
- 6.1.1 Safety Objectives
- 6.1.2 Flexibility SFR Cores
- 6.1.3 Core Competitiveness
- 6.1.4 Design Criteria
- Criteria for Fuel Design
- Criterion of NoMechanical Fuel–Clad Interaction
- Criterion of Strength for Fuel Rod Due to Internal Pressure
- Other Design Criteria
- Criteria forWrapper Tube
- 6.1.5 Core Shape Design
- 6.2 Core Neutronics
- 6.2.1 Elementary Physical Analysis
- 6.2.2 Predesign Studies
- 6.2.3 Detailed Design Studies
- 6.2.4 Calculation Tool for Neutronic Core Design
- 6.3 Core Thermalhydraulics
- 6.3.1 Core Flow Distribution
- Objective
- Method
- Mixing Coefficients
- 6.3.2 Calculation of Fuel Assembly Thermalhydraulics
- Introduction
- Thermal Balance Equation
- Bundle Flow Distribution
- Modeling Flow Deviated between Sub-Channels
- 6.3.3 Assessment of Hexcan Temperatures
- Simplified Description of the Core Thermalhydraulics
- Calculation of Hexcan Temperatures
- TRIO-VF Thermalhydraulic Computer Code
- Core Modeling
- 6.4 Core Mechanics
- 6.4.1 Subassemblies Distortions
- 6.4.2 Operating Considerations
- Safety Considerations
- 6.4.3 Modeling of the SFR Core Static Mechanical Behavior
- 6.4.4 Experimental Validation
- 6.4.5 Conclusion
- 6.5 Reactivity Effects
- 6.5.1 Description of the Feedback Effects
- Doppler Effect
- Sodium Expansion
- Clad Expansion
- Wrapper Expansion
- Fuel Expansion
- Grid Expansion
- Differential Expansion between Core, Vessel and Control Rods
- Pad Effect
- 6.5.2 Calculation Method
- Main Principle
- Cross Section Calculation Method
- 6.5.3 Return to a Temperature Variation
- 6.5.4 Validity of These Coefficients
- 7: Specific Thermalhydraulics Issues
- 7.1 Thermal Stratification
- 7.1.1 Phenomena
- 7.1.2 Locations Prone to Stratification
- 7.1.3 Effect of Stratification
- 7.1.4 Numerical Simulation of Stratification
- 7.1.5 Experimental Simulation of Stratification
- 7.1.6 Design Guidelines for Stratification
- 7.2 Thermal Striping
- 7.2.1 Phenomenon of Striping
- 7.2.2 Locations Prone to Thermal Striping
- 7.2.3 Effect of Striping
- 7.2.4 Prediction of Thermal Striping
- 7.2.5 Design Guidelines for Striping
- 7.3 Free Level Fluctuations
- 7.3.1 Phenomenon
- 7.3.2 Locations of Concern
- 7.3.3 Methods for Prediction of Level Fluctuations
- 7.4 Cellular Convection
- 7.4.1 Phenomenon
- 7.4.2 Location of Cellular Convection
- 7.4.3 Effects of Cellular Convection
- 7.4.4 Methods for Prediction of Cellular Convection
- 7.4.5 Managing Cellular Convection
- 7.5 Gas Entrainment
- 7.5.1 Phenomenon
- Entrainment Due to Differential Dissolution of Argon
- Liquid Fall
- Vortex Activated Entrainment
- Drain-Type Vortex
- Shearing of Gas–Liquid Interface
- 7.5.2 Potential Areas for Gas Entrainment
- 7.5.3 Effect of Gas Entrainment
- 7.5.4 Prediction of Gas Entrainment
- 7.5.5 Design Provisions Against Gas Entrainment and Other Remarks
- 7.6 Thermalhydraulic Design Criteria and Analysis Methods
- 7.6.1 Temperature Asymmetry in Cold Pool
- 7.6.2 Free Level Fluctuation
- 7.6.3 Free Surface Velocity in the Pool
- 7.6.4 High-Cycle Temperature Fluctuation
- 7.6.5 Heat Loss to Top Shield
- 7.6.6 Analysis Methods*6pt
- 8: Specific Structural Mechanics Issues
- 8.1 Introduction
- 8.2 High Cycle Thermal Fatigue: Thermal Striping and StratificationInstabilities
- 8.2.1 Experimental Evidence of Thermal Striping
- 8.2.2 Assessment of Potential Damage by Thermal Striping at theDesign Stage
- 8.2.3 Conclusion, Future Prospects
- 8.3 Free Level, Stratification Level Fluctuations
- 8.3.1 The Free Level Issues
- 8.3.2 In Sodium Stratification Issues
- 8.3.3 Conclusion
- 8.4 Seismic-Induced Forces and Their Effects
- 8.4.1 Geologic Phenomena
- 8.4.2 Seismic Risk
- 8.4.3 Site Effects of Seismic Forces
- 8.4.4 Effects of Seismic Forces on Structures
- 8.4.5 Seismic Piping Behavior and Design Criteria
- 8.5 Fluid Structure Interaction in the Fast Reactor Cores
- 8.5.1 Short Description of the Structures of the Reactor
- 8.5.2 Methods to Take into Account FSI
- 8.5.3 Seismic Behavior of the Fast Reactor Cores
- 8.5.4 Design Model for the Seismic Behavior of the Core
- 8.5.5 Overflow Instabilities
- 8.5.6 New Fluid Structure Interaction Phenomena to be Investigated
- 8.6 Buckling of Thin Shells
- 8.6.1 Buckling Design Approach
- 8.6.2 Simplified Analysis Method for Buckling of Shells Under SeismicLoadings
- 8.6.3 Thermal Buckling Due to Stationary Temperature Gradient
- 8.6.4 Progressive Buckling Due to Moving Temperature Gradients
- 8.6.5 Creep Buckling
- 8.6.6 An Integrated Buckling Analysis of Thin Vessels of Reactor Assembly
- 8.6.7 Investigation of Buckling of Safety Vessel Subjected to Seismic Loading
- 8.6.8 Investigation of Buckling of Top Shield Plates under CDA Loading
- 8.6.9 Experimental Validations of Computer Codes
- Validation of CAST3M
- Validation of ABAQUS Code
- 8.6.10 Summary
- 8.7 Design Criteria and Analysis Method
- 8.7.1 Loadings
- Level A Service Loadings
- Level B Service Loadings
- Level C Service Loadings
- Level D Service Loadings
- 8.7.2 Design Limits
- Strain Limits
- Creep Damage
- Fatigue Damage
- Creep–Fatigue Interaction
- 8.7.3 Analysis Methods
- Simplified Methods
- Inelastic Analysis
- 8.7.4 Buckling Design
- Time Independent Buckling
- Time-Dependent Buckling Design
- 9: Plant Dynamics
- 9.1 About the Design Basis Conditions, the Design Extension Conditionsand the Residual Risk
- 9.2 Safety Criteria
- 9.3 Analysis Methods
- 9.3.1 Rules for the Different Conditions
- Aggravating failure
- Examples of combination of IEs
- Earthquakes
- Single Failure Criterion
- 9.3.2 Line of Protection Analysis
- 9.3.3 Method for Safety Classification of Reactor Components
- 9.3.4 Probabilistic Safety Assessment
- 9.4 Illustration of SFRs Behavior in Typical Transient Situations
- 9.5 Anticipated Transients Without SCRAM
- 10: Severe Accidents
- 10.1 Introduction
- 10.2 History
- 10.2.1 Instances of Severe Accidents in Fast Reactors
- 10.3 Defense in Depth
- Level-1
- Level-2
- Level-3
- Level-4
- Level-5
- 10.3.1 Physical Barriers
- 10.4 CDA: Phenomenology
- 10.4.1 Different Phases of a CDA
- Pre-disassembly Phase
- Transition Phase
- Disassembly Phase
- Mechanical and Thermal Consequences of CDA
- 10.5 Analysis for Mechanical Consequences
- 10.5.1 Idealization of Molten Core Expansion Behavior
- 10.5.2 Analysis for Vessel and Roof Mechanical Loading
- Theoretical Predictions
- Experimental Validation of Computer Codes: Typical Case Study
- Structural Integrity Assessment under CDA: Two Case Studies
- 10.6 Post Accident Phase
- 10.6.1 Scenarios
- 10.6.2 Core Debris Accommodation
- 10.6.3 In-Vessel Debris Accommodation
- 10.6.4 Ex-Vessel Debris Accommodation
- 10.7 Computer Codes and Validation
- 10.7.1 Validation of Codes: A Case Study
- 10.8 Innovations Toward Enhanced Safety
- 10.8.1 Core
- 10.8.2 Sodium Fire and Sodium–Water Reactions
- 10.8.3 Reliable and Diverse Shutdown Systems
- 10.8.4 Decay Heat Removal Systems
- 10.8.5 Core Catcher
- 10.8.6 Breakthroughs for Future SFR
- 10.9 Summary
- 11: French Licensing Experience on SFR
- 11.1 Phenix
- 11.2 SPX-1
- 11.3 SPX-2
- 12: Innovative Design Evolutions
- 12.1 In India
- 12.1.1 Pool Type Concept
- 12.1.2 Reactor Power
- 12.1.3 Core
- Fuel
- Core Layout
- Core Height
- Pin and Subassembly Sizes
- 12.1.4 Shutdown Systems
- 12.1.5 Main Heat Transport System
- 12.1.6 DHR System
- 12.1.7 Main Structural Materials
- 12.1.8 Operating Temperatures
- 12.1.9 Reactor Assembly
- 12.1.10 Component Handling
- 12.1.11 Plant Layout
- 12.2 In France
- 12.2.1 A Core with Improved Safety Performances
- 12.2.2 A Better Resistance to Severe Accidents and External Hazards
- 12.2.3 An Optimized Energy Conversion System Optimized to Reduceor Exclude the Risk of Sodium–Water Reaction
- 12.2.4 A Reexamination of the Reactor and Its Components Design
- 12.2.5 ASTRID Program
- References
- 22: Gas-Cooled Reactors
- 1: Gas Cooling
- 2: Natural Uranium Fueled Reactors: Magnox and NUGG
- 2.1 The Magnox Family
- 2.2 Natural Uranium Graphite Gas (NUGG) Reactors
- 2.3 Safety of NUGG and MAGNOX Reactors
- 3: Advanced Gas-Cooled Reactor (AGR)
- 4: High Temperature Reactors HTR
- 4.1 Particles, Pebbles and Prisms
- 4.2 HTR Demos: Dragon, AVR, Peach Bottom
- 4.2.1 Dragon
- 4.2.2 AVR
- 4.2.3 Peach Bottom
- 4.3 Fort St Vrain and THTR Prototypes
- 4.3.1 Fort St Vrain
- 4.3.2 The Schmehausen HTTR
- 4.4 Lessons Learned from the First HTR Units
- 4.5 Recent Japanese and Chinese Demos
- 4.6 GT-MHR and PBMR
- 4.6.1 GT-MHR, Gas Turbine Modular High Temperature Reactor
- 4.6.2 ESKOM PBMR Pebble Bed Modular Reactor
- 4.6.3 PBMR Fuel Fabrication and Fuel Cycle
- 5: The NERVA Story (Simpson JW 1995)
- 6: Gas Cooling in Generation IV (DEN 2006)
- 6.1 VHTR
- 6.1.1 Electricity Production
- 6.1.2 Hydrogen Production
- 6.1.3 Water Desalination
- 6.1.4 NGNP Project (USA)
- 6.2 GFR
- 6.2.1 Specific Problems Associated with the GFR
- 6.2.2 The Advantages of the GFR System Have Two Main Origins
- 7: Conclusion
- References
- 23: Lead-Cooled Fast Reactor (LFR) Design
- 1: Lead-Cooled Fast Reactor (LFR) Development
- 1.1 Lead–Bismuth Eutectic (LBE) for Submarine Propulsion
- 1.2 The Russian Design for Civilian Fast Reactors Cooled by HLM
- 1.2.1 The BREST 300
- 1.2.2 The SVBR-75
- 1.3 HLM-Cooled ADS Systems
- 1.4 The LFR in Generation IV
- 1.5 The LFR and ADS Designs Considered in the Handbook
- 1.5.1 SSTAR
- 1.5.2 ELSY
- 1.5.3 MYRRHA
- 1.5.4 EFIT
- 2: Design Criteria and General Specifications
- 2.1 Sustainability
- 2.1.1 Resource Utilization
- 2.1.2 Waste Minimization and Management
- 2.2 Economics
- 2.2.1 Risk to Capital
- 2.2.2 Other Use of Nuclear Heat
- 2.3 Safety and Reliability
- 2.3.1 Operation Will Excel in Safety and Reliability
- 2.3.2 Low Likelihood and Degree of Core Damage
- 2.3.3 Reduced Need for Offsite Emergency Response
- 2.4 Proliferation Resistance and Physical Protection
- 2.4.1 Unattractive Route for Diversion of Weapon-Usable Material
- 2.4.2 Increased Physical Protection Against Acts of Terrorism
- 3: Neutronics
- 3.1 Neutronic Properties of Lead
- 3.1.1 Moderation
- 3.1.2 Absorption
- 3.2 Fuel Performances in LFRs
- 3.2.1 Fission Cross Sections
- 3.2.2 Average Number of Fission Neutrons
- 3.2.3 Fuel Utilization
- 3.2.4 Spectrum Evolution with Burn-Up
- 3.2.5 Effective Delayed Neutron Fraction and Prompt Neutrons Lifetime
- 3.2.6 LFR Capabilities of MAs Transmutation
- 3.3 Neutronic Performances of Typical Absorbers in an LFR
- 3.3.1 Boron Carbide
- 3.3.2 Indium–Cadmium Eutectic
- 3.3.3 Europium
- 4: Lead Properties
- 4.1 Physical Properties
- Normal Melting Point
- Volume Change at Melting
- Latent Heat of Melting at the Normal Melting Point
- Normal Boiling Point
- Heat of Vaporization at the Normal Boiling Point
- Saturation Vapor Pressure
- Surface Tension
- Density
- Thermal Expansion
- Sound Velocity and Compressibility
- Heat Capacity
- Critical Constants
- Viscosity
- Electric Resistivity
- Thermal Conductivity and Thermal Diffusivity
- 4.2 Chemistry Control and Monitoring Systems
- 4.2.1 The Thermodynamical Base
- 4.2.2 Thermodynamical Data and Diagrams
- Change in the Standard Free Energy
- 4.3 Thermal Hydraulics
- 5: Compatibility of Structural Materials with Lead
- 5.1 Structural Materials Corrosion in Lead
- 5.2 Effect of Lead on Properties of Structural Materials
- 6: Core
- 6.1 Introductory Remarks for LFR Core Design
- 6.1.1 Preliminary Evaluation of Lead and LBE Impact on Core Design
- 6.1.2 Technological Constraints for LFR Design
- 6.2 Conceptual Design Approach
- 6.2.1 Critical Reactors
- 6.2.2 Subcritical Reactors
- Case Study: EFIT
- 6.2.3 Adiabatic Reactors
- 6.3 Design Diagnostics and Post-Process Feedbacks
- 6.3.1 Overall BU Performances
- 6.3.2 Sizing and Placement of Control Systems
- 6.4 Reactivity Coefficients
- 6.4.1 Lead Void Reactivity
- 6.4.2 Doppler Effect
- 6.4.3 Dimension and Density Reactivity Coefficients
- 6.4.4 Feedback Reactivity Coefficients
- 7: Reactor System
- 7.1 Reactor Vessel and Safety Vessel
- 7.2 Reactor Internal Structures
- 7.3 Steam Generator
- 7.4 Primary Coolant Circulation
- 8: Decay Heat Removal System
- 8.1 Reactor Vessel Air Cooling System
- 8.2 Water Loops and Associated Dip Coolers
- 8.3 Steam Condensers on the Steam Loops
- 9: Nuclear Island
- 10: Concluding Remarks and Open Issues
- Acknowledgment
- Abbreviations
- References
- 24: GEMast STAR: The Alternative Reactor Technology
- 1: Introduction
- 2: Supplemental Neutrons from Accelerators
- 3: Molten Salt Technology
- 4: Graphite Developments
- 5: Integrating Accelerators, Molten Salt, and Graphite
- 6: Calculations of GEMSTAR Burn-Up Performance
- 7: Corrections for MCNP5: Graphite Absorption
- 8: GEMast STAR Reactor Parameters
- 9: Burning LWR Spent Fuel
- 10: Other Fuels
- 10.1 Thorium and Depleted Uranium Fuels
- 10.2 Fueling GEMSTAR Over the Long Term
- 11: Other Factors Affecting GEMSTAR Success
- 11.1 Ultimate Ocean Disposal?
- 11.2 GEMast STAR Comparison with Fast Breeder Reactors
- 11.3 Fusion Neutron Sources
- 12: Nonproliferation Advantages of GEMSTAR
- 13: Cost Estimation
- 13.1 GEMast STAR Accelerator Costs
- 13.2 GEMast STAR Reactor Costs and Breakeven Electricity Price
- 14: Summary
- References
- Volume V: Fuel Cycles, Decommissioning,Waste Disposal and Safeguards
- 25: Front End of the Fuel Cycle
- 1: Description
- 2: Uranium Exploration and Mining
- 2.1 The Element Uranium
- 2.1.1 Uranium Resources
- 2.1.2 The Oklo Phenomenon
- Oklo uranium was indeed different from natural uranium everywhere else. Why?
- 2.2 Uranium Exploration
- 2.3 Uranium Mining and Milling
- 2.4 Sites Rehabilitation
- 3: Conversion
- 4: Uranium Enrichment
- 4.1 Principle, Cascade, SWU, HEU, LEU
- 4.2 Enrichment Technologies
- 4.2.1 Gaseous Diffusion
- 4.2.2 Ultracentrifugation
- 4.2.3 Other Methods
- 5: Fuel Fabrication
- 5.1 Elements of Fuel Design
- 5.1.1 Fissile/Fertile Couple
- 5.1.2 Fuel Material
- 5.1.3 Cladding Materials
- 5.1.4 Absorber Materials
- 5.2 The LWR Fuel
- 5.2.1 Fuel Pellets Production
- 5.2.2 Fuel Rods Fabrication
- 5.2.3 Assembly
- 5.3 MOX Fuel
- 5.4 Other Fuel
- 5.4.1 CANDU
- 5.4.2 FBR
- 5.4.3 HTR
- 5.5 In-Reactor PWR Fuel Behavior
- 6: Thorium
- 7: Plutonium
- References
- 26: Transuranium Elements in the Nuclear Fuel Cycle
- 1: General Introduction
- 2: Fundamental Aspects of Transuranium Fuels
- 2.1 General
- 2.2 Characteristics of Transuranium Fuel Forms
- 2.3 Properties of Transuranium Elements and Compounds
- 3: Transuranium Element Fuel and Target Fabrication
- 3.1 General Aspects
- 3.2 Solid Solution Oxide Fuels Fabrication by Wet Routes (Precipitation,Sol–Gel, and Infiltration)
- 3.3 Powder Metallurgy for the Production of Solid Solution Fuels
- 3.4 Oxide Fuels with Composite Microstructure
- 3.5 Minor Actinide Carbide, Nitride, and Metal Fuels
- 3.5.1 General Considerations
- 3.5.2 Production of Minor Actinide Nitrides
- 3.5.3 Production of Minor Actinide Bearing Metal Fuels
- 4: Irradiation Behavior of Transuranium Fuels
- 4.1 Mixed Oxide Fuels
- 4.2 Metal Fuels
- 4.3 Carbide and Nitride Fuels
- 4.4 Molten Salt Fuels
- 4.5 Other Fuel Types
- 4.6 Summary
- 5: Reprocessing
- 5.1 Introduction
- 5.2 Advanced Aqueous Reprocessing
- 5.2.1 Fundamental Studies
- 5.2.2 Process Development
- 5.3 Pyro-Reprocessing
- 5.3.1 US Pyrochemistry Projects
- 5.3.2 European Pyrochemistry Projects
- 5.3.3 Liquid–Liquid Reductive Extraction in Molten Fluoride/Liquid Aluminum
- 5.3.4 Technical Uncertainties of the Pyro-Reprocessing
- 5.3.5 Head-End Conversion Processes
- 6: Impact of Transuranium Elements on Storage and WasteDisposal Concepts
- 6.1 General Aspects
- 6.2 Transuranium Elements and Wasteforms
- 6.2.1 Transuranium Elements in Spent Fuel
- 6.2.2 Transuranium Elements in Waste Glass
- 6.2.3 Transuranium Elements in Advanced Cycle Waste Forms
- 6.3 Special Wasteforms for the Immobilization of Transuranium Elements
- 6.4 Long-Term Behavior of Waste Containing Transuranium Elements
- 6.4.1 Consequences of Alpha-Decay Damage and HeliumBuild-Up in the Waste Form
- 6.4.2 Corrosion Behavior of the Waste Form in Contact with Water
- References
- 27: Decommissioning of Nuclear Plants
- 1: Nuclear Plants Decommissioning Overview
- 1.1 Definition and Scope of Decommissioning
- 1.2 Introduction to Some Decommissioning Challenges
- 1.2.1 Organization and Management
- 1.2.2 Safety-Related Issues
- 1.2.3 Decommissioning Funding
- 1.2.4 Waste Management
- 1.3 Decommissioning Strategies
- 1.3.1 Overview
- 1.3.2 Issues Affecting the Choice of Decommissioning Strategy
- National Nuclear Strategies
- Plant Characteristics
- Protection of Health, Safety, and the Environment
- Radioactive Waste Management
- Future Use of the Site
- Development of Decommissioning Technologies
- Cost and Availability of Funds
- Social and Other Considerations
- 1.4 Decommissioning in the World
- 2: Decommissioning Organization and Management
- 2.1 Overview
- 2.2 Issues Affecting Decommissioning Organization and Management
- 2.2.1 Decommissioning Strategy
- 2.2.2 Safety Issues
- 2.2.3 Work Approaches
- 2.2.4 Impact on Staffing
- 2.3 Organization and Management in the Various Phases ofDecommissioning
- 2.3.1 The Planning Phase
- 2.3.2 The Transition Phase
- 2.3.3 The Active Phases of Decommissioning
- 2.3.4 The Safe Enclosure Phase
- 2.3.5 The Post-Dismantling Period
- 2.3.6 Spent Fuel and Waste Storage
- 2.4 Management for Active Phases of Decommissioning
- 2.4.1 Overview
- 2.4.2 The Decommissioning Management Team
- 2.4.3 Change Management
- 2.5 Decommissioning Planning and Licensing
- 2.5.1 Overview
- 2.5.2 Decommissioning Planning
- 2.5.3 Stages of Planning
- 2.5.4 Content of Decommissioning Plan
- 2.5.5 Decommissioning Optimization
- 2.5.6 Project Risk Management
- 2.5.7 Regulatory Approval
- 2.5.8 Work Packages and Procedure
- 2.6 Role of Quality Assurance
- 2.6.1 Overview
- 2.6.2 Control of Modifications to the Plant
- 2.6.3 Radiation Protection and Environmental Safety Control
- 2.6.4 Control of Outside Contracted Services
- 2.6.5 Surveillance and Inspections
- 2.6.6 Information Management
- 2.6.7 Safety Audits
- 2.6.8 Management, Assessment and Reporting of Incidents and Events
- 2.7 Responsibilities and Qualifications
- 2.7.1 Licensee
- 2.7.2 Decommissioning Project Manager (DPM)
- 2.7.3 Technical Support
- Radiation Protection
- Industrial Safety
- Quality Assurance
- Engineering
- Regulatory Control
- 2.7.4 Decommissioning Operations
- Decontamination and Dismantling
- WasteManagement
- Maintenance
- Specialist Contractors
- 2.7.5 Administration Services
- Accounting and Finance
- Contracts and Procurement
- Information Management
- Personnel and Training
- 2.7.6 Interfaces
- 3: Plant and Site Characterization
- 3.1 Initial Plant Characterization
- 3.1.1 Radioactivity Sources
- Nuclear Reactors
- Other Nuclear Facilities
- 3.1.2 The Concept and Extent of Characterization
- 3.1.3 Structure Characterization
- 3.1.4 System and Equipment Characterization
- 3.2 Site Characterization
- 3.2.1 Surface Soil Contamination
- 3.2.2 The NRC Acceptance Criteria
- 3.2.3 Subsurface Soil Contamination
- 3.2.4 Surface Water Contamination
- 3.2.5 Groundwater Contamination
- 4: Decontamination Techniques
- 4.1 Overview
- 4.1.1 Objectives of Decontamination Techniques
- 4.1.2 Selection of Decontamination Technologies
- 4.1.3 Survey of Applied Decontamination Techniques
- 4.2 Decontamination of Segmented Components
- 4.2.1 Overview
- 4.2.2 Chemical Decontamination
- Chemical Reagents
- Spent Decontamination Solutions
- Guidelines
- 4.2.3 Electrochemical Decontamination
- Chemical Reagents
- Secondary-Waste Generation
- Guidelines
- 4.2.4 Mechanical Decontamination
- Abrasive-Blasting Decontamination Systems
- Abrasive Media Used
- SecondaryWaste Generation
- Guidelines
- 4.2.5 Decontamination by Melting
- Current Melting Practices
- Advantages ofMelting as a Decontamination Technique
- 4.2.6 Other Decontamination Techniques
- 4.3 Decontamination of Building Surfaces
- 4.3.1 Overview
- 4.3.2 Basic Techniques
- 4.3.3 Scarifying
- Needle Scaling
- Scabbling
- Concrete Shaving
- Hydraulic/Pneumatic Hammering
- Dust Collection
- Production Rates
- 4.3.4 Guidelines
- 4.4 Chemical Decontamination Techniques
- 4.4.1 Overview
- 4.4.2 Water/Steam
- 4.4.3 Strong Mineral Acids
- Hydrochloric Acid
- Nitric Acid
- Sulfuric Acid
- Phosphoric Acid
- 4.4.4 Acid Solutions
- 4.4.5 Organic/Weak Acids
- Oxalic Acid
- Oxalate Peroxide
- Citric Acid
- Sulfamic Acid
- 4.4.6 Alkaline Solutions
- 4.4.7 Complexing Agents
- 4.4.8 Oxidizing and Reducing (REDOX) Agents
- Alkaline Permanganate
- Low Oxidation-StateMetal Ion (LOMI)
- Electrochemical Low Oxidation-StateMetal Ion Exchange (ELOMIX)
- DECOHA Process
- Chemical Oxidation Reduction Decontamination (CORD)
- Pressurized Water Reactor Oxidative Decontamination (POD)
- Bleaching
- Detergents and Surfactants
- 4.4.9 Organic Solvents
- 4.4.10 Multiphase Treatment Processes
- Alkaline Permanganate Processing
- Foam Decontamination
- Chemical Gels
- 4.4.11 Selection of Chemical Decontamination Processes
- 4.5 Mechanical Decontamination Techniques
- 4.5.1 Overview
- 4.5.2 Water Flushing
- 4.5.3 Dusting/Vacuuming/Wiping/Scrubbing
- 4.5.4 Steam Cleaning
- 4.5.5 CO2: Blasting
- 4.5.6 Wet-Ice Blasting
- 4.5.7 Hydroblasting
- 4.5.8 Ultra-High-Pressure Water
- 4.5.9 Shot Blasting
- 4.5.10 Wet Abrasive Cleaning
- 4.5.11 Grit Blasting
- 4.5.12 Grinding
- 4.5.13 Scarifiers
- Scabbling
- Needle Scaling
- Applications
- 4.5.14 Milling
- 4.5.15 Drill and Spall
- 4.5.16 Paving Breaker and Chipping Hammer
- 4.5.17 Expansive Grout
- 4.5.18 Asbestos Removal
- 4.6 Other Decontamination Techniques
- 4.6.1 Electropolishing
- Description of Technique
- Electrolytes
- H3PO4: Electrolytes
- HNO3: Electrolytes
- Organic Acid Electrolytes
- Applications
- 4.6.2 Ultrasonic Cleaning
- 4.6.3 Vibratory Finishing*6pt
- 5: Cutting and Dismantling Techniques
- 5.1 Overview
- 5.2 Thermal Cutting Techniques
- 5.2.1 Gas Processes
- Powder Injection Flame Cutting
- Flame Cutting
- Flame Gouging
- Oxygen Lance Cutting
- 5.2.2 Arc Processes
- Oxy-Arc Cutting
- Consumable Electrode Oxygen Jet Cutting
- Consumable Electrode Water Jet Cutting
- Contact ArcMetal Cutting
- Electrical Discharge Machining
- Arc-Saw Cutting
- Consumable Electrode Water Jet Gouging
- 5.2.3 Plasma-Arc Processes
- Plasma-Arc Cutting with Single Torch
- Plasma Compass Saw Cutting and Plasma Circular Saw Cutting
- Plasma Compass Saw
- Plasma Circular Saw
- Plasma-Arc Gouging
- 5.2.4 Laser Cutting
- 5.2.5 Combined Cutting Processes
- Consumable Electrode Water Jet Gouging/Flame Cutting
- Plasma Arc Gouging/Flame Cutting
- 5.3 Hydraulic Cutting Techniques
- 5.3.1 High Pressure Water Jet Cutting
- 5.3.2 Abrasive Water Jet Cutting
- 5.4 Mechanical Dismantling Techniques
- 5.4.1 Grinder
- 5.4.2 Hacksaw and Guillotine Saw
- 5.4.3 Shears
- 5.4.4 Milling Cutters and Orbital Cutters
- 5.4.5 Knurl Tube Cutter
- 5.4.6 Diamond Saws and Cables
- Diamond Saws
- Diamond Cables
- 5.5 Conclusions
- 6: Remote Control Techniques
- 6.1 Basis of Remote Operation
- 6.1.1 Overview
- 6.1.2 Safety Enhancement
- 6.1.3 Cost Reduction
- 6.1.4 Productivity Improvement
- 6.1.5 Utilization of Facility Resources
- 6.1.6 Accessibility
- 6.1.7 Disadvantages of Remote Operation
- 6.2 Remote Operation Technologies
- 6.2.1 Overview
- 6.2.2 Detection Equipment
- Cameras and Lights
- Other Detectors
- 6.2.3 Segmenting and Demolishing Equipment
- 6.2.4 Decontamination Equipment
- 6.2.5 Material-Handling Equipment
- 6.2.6 Sampling Equipment
- 6.2.7 Hand-Held Equipment
- 6.3 Remote-System Configurations
- 6.3.1 Overview
- 6.3.2 Control Stations
- Teleoperator Control Stations
- Teleoperator Managed Stations
- Automated Stations
- 6.3.3 Communication and Power Links
- 6.3.4 Support Platforms
- 6.3.5 Arms
- Existing Equipment
- Robots
- Speciality Systems
- 6.3.6 End Effectors and Tools
- 6.4 Illustrative Experiences with Remote Applications
- 6.4.1 Detection Equipment
- 6.4.2 Sampling Equipment
- 6.4.3 Hand-Held Equipment
- 6.4.4 Miscellaneous Equipment
- 7: Spent-Fuel and Waste Management
- 7.1 Spent-Fuel Interim Storage
- 7.1.1 Wet Interim Storage
- Pool Re-Racking
- Spent-Fuel Consolidation
- Independent Wet Storage Pool
- 7.1.2 Dry Interim Storage
- Metal Casks
- Vaults
- Concrete Casks
- Concrete Silos
- NUHOMS Modular System
- 7.2 Waste Management
- 7.2.1 Overview
- 7.2.2 Clearance Levels
- 7.2.3 Waste-Management Strategy
- 7.2.4 Waste-Management Arrangements
- 7.2.5 Treatment and Conditioning of Liquid Wastes
- 7.2.6 Treatment and Conditioning of Solid Wastes
- 7.2.7 Treatment and Conditioning of Gaseous and Aerosol Wastes
- 7.2.8 Packaging and Storing Technologies
- 7.2.9 Waste Transport
- 7.2.10 Waste Characterization and Measurement Techniques
- CharacterizationMethods
- Gross Gamma Measurement
- Gamma Spectrum Analysis
- Energy-Sensitive Detectors
- Instrumentation
- Gas Filled Detectors
- Scintillation Detectors
- Solid-State Detectors
- Special Alpha Techniques
- Waste Characterization Program
- 7.3 The Waste Management Facility (WMF)
- 7.3.1 WMF Design Criteria
- 7.3.2 Description of the Areas and the Equipment
- Segmentation
- Decontamination
- Volume Reduction
- Immobilization by Grouting
- Monitoring, Characterization and Release
- Interim Storage Areas (Buffers)
- 7.3.3 Staff Requirements
- 8: Safety, Health and Environmental Protection
- 8.1 Overview
- 8.2 Safety Culture
- 8.3 Safety Assessment
- 8.3.1 Accident Analysis
- 8.3.2 Human Factors and Organizational Considerations
- 8.3.3 Emergency Planning
- 8.4 Environmental Impact Assessment (EIA)
- 8.4.1 Scoping
- 8.4.2 Environmental Impact Evaluation
- 8.4.3 EIA Regulations
- 8.4.4 Consent Processes for Decommissioning in EU Member States
- 8.4.5 Consultation and Public Participation
- 8.4.6 Definition of Preferred Options
- 8.4.7 Baseline Description
- Impact Factors Relating to the Natural Environment
- Identification of Potential Impacts
- 8.4.8 Impact Assessment
- Impact Indicators
- Radiological Impacts
- Noise and Vibrations
- Air Quality
- Land Use
- Results of Assessment
- 8.4.9 Mitigation Measures
- Identification ofMitigationMeasures
- Final Impact
- 8.4.10 Environmental Surveillance Program
- 9: Decommissioning Cost Evaluation
- 9.1 Cost Evaluation Methodologies
- 9.2 Account Presentation
- 9.3 Responsibilities and Financing
- 9.4 Standard Criteria for Cost Evaluation
- 9.5 Cost Evaluations
- 9.5.1 Overview
- 9.5.2 Cost-Assessment Methods
- 9.6 Cost Calculation Model Example
- 9.6.1 Cost-Breakdown Structure
- 9.6.2 Mass Analysis
- Primary Masses
- Secondary Masses
- TertiaryMasses
- 9.6.3 Calculation of Decommissioning Activities
- Decommissioning Cost
- Employable Technology
- Necessary Tools and Equipment
- Other Articles of Consumption
- Required Manpower and Duration
- Expected Personnel Radiation Exposure
- 9.7 International Comparisons
- 9.7.1 Overview
- 9.7.2 Variations in Cost Estimates
- 9.7.3 Cost Estimates in the USA
- 9.7.4 Cost Estimates in Europe
- 10: International Organizations Roles
- 10.1 UNO-IAEA (United Nations Organization-International Atomic EnergyAgency)
- 10.2 OECD-NEA (Organization for Economic Cooperation andDevelopment)
- 10.3 EC (European Commission)
- 10.4 WANO (World Association of Nuclear Operators)
- 10.5 WENRA (West European Nuclear Regulator Association)
- References
- UNO-IAEA Documents
- OECD-NEA Documents
- EU Documents
- US-NRC Documents
- Further Reading
- Other Organizations
- Other Documents
- 28: The Scientific Basis of Nuclear Waste Management
- 1: Generalities on Waste
- Definitions
- 1.1 Origin, Nature, Volume, and Flux of Waste
- 1.1.1 Waste Classification
- 1.1.2 Volume and Flux of Waste
- 1.1.3 Which Radionuclides in the Spent Fuel?
- 1.1.4 Fission Products Are Radioactive
- 1.1.5 Formation of Transuranic Isotopes in the Reactor Core
- 1.1.6 Radioactive Decay
- 1.1.7 What Kind of Radioactive Emission Do We Expect from theNuclear Waste?
- 1.1.8 Penetration of Ionizing Radiations into Matter
- 1.1.9 The Radioactive Half-Life of the Main Radionuclides Found inNuclear Waste
- 1.1.10 Radioactive Waste: How Dangerous Is It?
- 1.2 Management Options: An Overview
- 1.2.1 Dispersion or Concentration?
- 1.2.2 Waste, Effluents, Decontamination, and Conditioning: A SystemicVision
- 1.2.3 Reprocessing or Not Reprocessing?
- 1.2.4 World Situation for Waste Management
- 1.2.5 The Institutions In Charge of Waste Management in the World
- 1.2.6 The Waste Management Process
- 1.2.7 Uranium Mine Tailing Management
- 1.2.8 Management of Low and Intermediate Level, Short-LivedWaste (LIL-SL)
- 1.2.9 Interim Storage of Spent Fuel
- 1.2.10 High Activity Waste from Reprocessing is Vitrified
- 1.2.11 Options for the Management of Long-Lived Nuclear Waste
- Partitioning and Transmutation
- Conditioning
- Interim Storage
- Deep Geological Disposal
- 1.2.12 Waste Management and Radioprotection
- 1.2.13 From Radioactivity to Radiotoxicity
- 1.2.14 Ingestion Dose Factors
- 1.2.15 The Long-Term Radiotoxicity of Spent Fuel
- 1.2.16 Deep Geological Disposal: The Multibarrier Concept
- 2: Waste Conditioning
- 2.1 Conditioning of LL and IL Waste in Cement-Based Matrices
- 2.1.1 Elaboration of Cement-Based Materials
- 2.1.2 Waste Conditioning in Cement-Based Materials
- 2.1.3 Long-Term Behavior of Cement-Based Materials
- 2.1.4 R&D on Cement-Based Materials for Waste Conditioning
- 2.1.5 Waste Container Manufacturing
- 2.2 Conditioning of HL-LL Waste in Glass
- 2.2.1 Vitrification of Solutions of Fission Products
- 2.2.2 Requirements for the Glass Material
- 2.2.3 Physicochemistry of Glass
- 2.2.4 Glass Composition
- 2.2.5 Incorporation of Radionuclides in Glass: Where Is the Limit?
- 2.2.6 Glass Fabrication: The Hot Crucible Vitrification Process
- 2.2.7 The Vitrified Waste Package
- 2.2.8 Cold Crucible Vitrification
- 2.2.9 Long-Term Behavior of Glass
- 2.2.10 Long-Term Behavior of Glass in Contact with Water
- 2.2.11 Phenomenology of Glass Alteration by Water
- 2.2.12 Glass Alteration by Water Depends Greatly on Temperature
- 2.2.13 Toward a Model of Glass Alteration
- Hypotheses
- 2.2.14 The Residual Alteration Regime of Glass
- 2.2.15 Long-Term Behavior of Glass: The Effect of Self-Irradiation
- 2.3 Other Conditionings for Waste
- 2.3.1 Bituminization of Low- or Intermediate-Level Waste
- 2.3.2 Bitumen Manufacturing
- 2.3.3 Bitumen Package Evolution Under Self-Irradiation
- 2.3.4 Bitumen Alteration by Water
- 2.3.5 Conditioning of Fuel Claddings and End Caps
- 2.3.6 The Long-Term Behavior of the Compacted Metallic Waste Package
- 2.3.7 Melting: A Possible Future Conditioning for Metallic Waste
- 2.3.8 Specific Conditioning for Minor Actinides and Fission Products
- 2.4 Conditioning of Spent Fuel
- 2.4.1 Can Spent Fuel Be a Conditioning Matrix?
- 2.4.2 Spent Fuel Evolution After Unloading
- 2.4.3 Packaging Spent Fuel
- 2.4.4 Choice of the Container Material
- 2.4.5 Corrosion Rates of Low-Alloyed Steels
- 2.4.6 Post-Irradiation State of the Spent Fuel
- Irradiated Clad State
- Post-Irradiation Physical State of Spent Fuel Pellet
- 2.4.7 Fuel Evolution in a Closed System
- 2.4.8 Spent Fuel in a Water-Saturated Repository
- 2.4.9 Conclusion on the Storage and Direct Disposal of Spent Fuel*6pt
- 3: Waste Storage and Disposal
- 3.1 Interim Storage of Long-Lived Waste and Spent Fuel
- 3.1.1 Storage: A Temporary Solution for Waste Management
- 3.1.2 An Important Stake of Interim Storage: Reduce the Cost of the Disposal
- 3.1.3 The Objects To Be Stored
- 3.1.4 The Storage Facilities for Long-Lived Waste
- 3.1.5 Duration of the Interim Storage
- 3.2 Geological Disposal
- 3.2.1 The General Principles of Deep Geological Disposal
- 3.2.2 The Technical Principles of Deep Geological Disposal
- 3.2.3 The Multibarrier Concept
- 3.2.4 Repository Lifetime
- 3.2.5 Repository Architecture
- Dimensions of a High-Level Repository
- 3.2.6 Cost of an HL LL Waste Repository
- 3.2.7 The Foreseen Evolution of a Repository
- The First One Thousand Years
- 10,000 Years On and More
- Millions of Years On
- 3.2.8 Geodynamic Evolution of a Deep Geological Repository
- 3.2.9 The Criteria for the Choice of a Suitable Location for a DeepGeological Repository
- 3.2.10 Choice of the Host Rock for the Waste Disposal
- 3.2.11 Hydrogeology
- 3.2.12 Calculation of Water Flow in a Permeable Porous Medium
- 3.2.13 Radionuclide Migration
- 3.2.14 Kinematic Dispersion
- 3.2.15 The Tracer Equation
- 3.2.16 Characteristic Migration Time Through a Geological Barrier
- 3.2.17 Sorption of a Non-Perfect Tracer
- 3.2.18 Migration of a Sorbing Tracer
- 3.2.19 Migration of Actinides
- 3.2.20 Radionuclide Speciation and Solubility Limits
- 3.2.21 Porewater Chemistry
- 3.2.22 How to Evaluate the Transport of RN Underground
- 3.2.23 Validation of the Models of RN Transport Underground
- 3.2.24 Thermo-Hydro Mechanico-Chemical Effects in the Near-Fieldof a Geological Repository
- 3.2.25 Thermal Behavior of High-Activity Waste
- 3.2.26 Chemical Phenomena in the Near-Field
- Redox Front Propagation
- Dissolution–Precipitation
- Corrosion
- 3.2.27 Mechanical Behavior of a Repository
- 3.2.28 Mechanical Effects Due to the Excavation of the Galleries
- 3.2.29 Hydraulic Effects
- 3.2.30 Hydro-Mechanical Effects in the Near-Field
- 3.2.31 Hydro-Chemical Couplings in the Near-Field
- 3.2.32 Gas Production and Release in an Underground Repository:An Example of H–M–C Coupling
- 3.2.33 Underground Laboratories
- 3.2.34 Natural Analogues Can Help Validate the Models of Long-TermBehavior of a Repository: The Example of Oklo
- 3.3 Safety of Waste Disposal Facilities
- 3.3.1 How to Evaluate the Radiological Impact of a Deep GeologicalRepository?
- 3.3.2 Evaluation of the Order of Magnitude of the Activity at the Exutory fora Simplified Repository
- 3.3.3 The Source-Term
- 3.3.4 Transit Time from the Repository to the Exutory
- 3.3.5 Transfer Through the Geosphere
- 3.3.6 Activity at the Exutory
- 3.3.7 Evaluation of the Order of Magnitude of the Dose to Man
- 4: Conclusions
- 4.1 Waste: The Achilles' Heel of the Nuclear Industry?
- 4.2 Technical Solutions and Political Advances for Waste Management
- 4.3 The Main Principles of Nuclear Waste Management
- 4.4 Recycling: The First Link of the Waste Management Chain
- 4.5 Transmute, Recycle: Where Is the Limit?
- 4.6 Waste Conditioning: The Essential Second Link in the Chain ofWaste Management
- 4.7 What To Do with the Final Waste?
- 4.8 Interim Storage, A Temporary Solution That Gives Flexibility tothe Management of Waste
- 4.9 Underground Disposal, The Last Link of the Chain: A Final Placefor the Final Waste
- 4.10 Underground Disposal: A Simple and Robust Concept
- 4.11 Let Us Behave Responsibly, Let Us Try To Be Sensible
- 5: Glossary
- References
- 29: Proliferation Resistance and Safeguards
- 1: Proliferation Resistance
- 1.1 Material Attractiveness
- 1.1.1 Figure of Merit
- 1.1.2 Meaning of FOM Values
- 1.1.3 Comparison of Various Reprocessing Schemes
- 1.1.4 Conclusions
- 1.2 Nonproliferation Impact Assessments
- 1.2.1 Methodology
- 1.2.2 Technical Factors and Metrics
- 1.2.3 Policy Factors and Grading
- 1.2.4 PR&PP Example
- 2: Safeguards
- 2.1 Domestic Safeguards: Implementing a State System ofAccounting and Control (SSAC)
- 2.1.1 Primary Features of an SSAC
- 2.2 IAEA Inspection Regime
- 2.2.1 Timeliness Goals
- 2.2.2 Quantity Goals
- 2.2.3 Deterrence by Risk of Early Detection
- 2.2.4 Frequency of Inspection to Fulfill Technical Objectives of Safeguards
- 2.2.5 IAEA Nuclear Facility Categories
- 2.2.6 Keystones of Bookkeeping, Material Accountancy, andContainment and Surveillance
- 2.2.7 Strengthened Safeguards
- 2.3 Safeguards Design
- 2.3.1 Safeguards Requirements
- 2.3.2 Safeguards by Design
- 2.4 Unattended Monitoring
- 2.4.1 Background
- 2.4.2 Definition of an Unattended Monitoring System (UMS)
- 2.4.3 Why Does the IAEA Use UMS?
- 2.4.4 Benefits of UMS
- 2.4.5 Key to Maintaining a Balanced Approach in IAEA Safeguards
- 2.4.6 Major Cost Drivers in the Department of Safeguards
- 2.4.7 Primary Goals of UMS
- 2.4.8 Method of Obtaining Primary Goals
- 2.4.9 Conclusion
- 2.5 Process Monitoring
- 2.5.1 Key Elements
- 2.5.2 Role of Models and Simulation
- 2.5.3 Strategy for Reprocessing Plants
- 2.5.4 Operational Evaluation Systems
- 2.6 Environmental Sampling
- 2.6.1 Basic Principles of Environmental Sampling
- 2.6.2 Sampling Methods
- 2.6.3 Bulk Measurements of Dust Samples
- 2.6.4 Particle Measurements of Dust Samples
- 2.7 Forensics
- 2.7.1 Methodology
- 2.7.2 Characteristic Parameters in Nuclear Forensic Investigations
- 2.7.3 Data Interpretation and Attribution
- 2.7.4 Conclusions
- 2.8 Statistics for Accountancy
- 2.8.1 Background
- 2.8.2 Measurement Error Models
- 2.8.3 Propagation of Variance
- 2.8.4 Sequential or Trend Testing
- 2.8.5 ID Test
- 2.8.6 SITMUF Test
- 2.8.7 Verifying Declarations
- 2.8.8 Other Purposes of the PI
- 2.8.9 Sampling
- 2.8.10 Difficulties with ID Evaluation
- 2.8.11 Solution Monitoring
- 2.8.12 Conclusions
- 2.9 Accountancy for Abrupt Diversion
- References
- Website
- Index
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