8001FFF8    NOP
8001FFFC    NOP
80020000    LUI     $16, 0x8002
80020004    ADDIU   $16, $16, 0x30

$16 = 0x80020030

80020008    ADDI    $17, $00, 0x3
8002000c    SLL     $17, $17, 0x2

$17 = 12 ( 3 << 2 )

80020010    LW      $18, 0x4 ($16)

$18 = 0x2 ( load value from 80020034 which disassembled is srl $0,$0,0 -> 0x2 )

80020014    LW      $19, 0x0 ($16)

$19 = ??? ( value under 0x80020030 not known )

80020018    SW      $18, 0x8 ($16)

store under 0x80020038 (0x2)

8002001C    NOP
80020020    ADD     $18, $18, $17

$18 = 0xE ( 0x2 + 12 )

80020024    NOP
80020028    NOP

$18 = 0xE ( nops don't change anything )

8002002C    NOP
80020030    ???
80020034    SRL     $00, $00, 0
80020038    SRA     $00, $00, 0
8002003C    SLLV    $00, $00, $00
80020040    NOP
80020044    NOP

Exception in this code is possible ( I could miss something ):

at 80020018 sw instruction, if address if this fragment of memory is write-protected ( segmentation fault )
at 80020030 if executing code continues and execute this address ( illegal instruction )
at 80020010 if this fragment of memory is read-protected (very unlikely) ( segmentation fault )
at 80020000 if this fragment of memory is non-executable ( unlikely ) ( segmentation fault )
if addresses visible in this dump are not these visible by process which executes this code.. - hard to say without knowing environment and how this dump was got.