documentclass[border=10pt]{standalone}
usepackage{pgfplots}
usepackage{filecontents}
begin{filecontents}{map.txt}
    0.1 0   2.933100901655603E-6
    0.1 10  1.2378929491530841E-5
    0.1 20  2.0588051604902755E-5
    0.1 30  2.7190941686966532E-5
    0.1 40  3.290721897852047E-5
    0.1 60  4.250275971734089E-5
    0.1 80  5.0350197981567186E-5
    0.1 100 5.681643648591518E-5
    0.1 150 6.859558257512272E-5
    0.1 200 7.652271637806553E-5
    0.1 250 8.22752949739641E-5
    0.1 300 8.668070617985642E-5

    0.2 0   1.362157048411715E-5
    0.2 10  1.4186557576426701E-5
    0.2 20  1.9510106350903664E-5
    0.2 30  2.3880991840192088E-5
    0.2 40  2.7472817836855655E-5
    0.2 60  3.282892845070262E-5
    0.2 80  3.656164586607819E-5
    0.2 100 3.944614546159667E-5
    0.2 150 4.434691145348564E-5
    0.2 200 4.730750444203243E-5
    0.2 250 4.9180711846180925E-5
    0.2 300 5.0512424521156164E-5
end{filecontents}

pgfplotsset{compat=newest}

begin{document}
begin{tikzpicture}
begin{axis}[
    colormap/jet,
    colorbar,
    colorbar style={yticklabel=$10^{pgfmathprintnumber{tick}}$},
    view={0}{90},
    zmode=log]
    addplot3[surf,shader=interp] table[x index=0,y index=1,z index=2] {map.txt};
end{axis}
end{tikzpicture}
end{document}

% used PGFPlots v1.15
begin{filecontents}{map.txt}
    0.1 0   2.933100901655603E-6
    0.1 10  1.2378929491530841E-5
    0.1 20  2.0588051604902755E-5
    0.1 30  2.7190941686966532E-5
    0.1 40  3.290721897852047E-5
    0.1 60  4.250275971734089E-5
    0.1 80  5.0350197981567186E-5
    0.1 100 5.681643648591518E-5
    0.1 150 6.859558257512272E-5
    0.1 200 7.652271637806553E-5
    0.1 250 8.22752949739641E-5
    0.1 300 8.668070617985642E-5

    0.2 0   1.362157048411715E-5
    0.2 10  1.4186557576426701E-5
    0.2 20  1.9510106350903664E-5
    0.2 30  2.3880991840192088E-5
    0.2 40  2.7472817836855655E-5
    0.2 60  3.282892845070262E-5
    0.2 80  3.656164586607819E-5
    0.2 100 3.944614546159667E-5
    0.2 150 4.434691145348564E-5
    0.2 200 4.730750444203243E-5
    0.2 250 4.9180711846180925E-5
    0.2 300 5.0512424521156164E-5
end{filecontents}
documentclass[border=5pt]{standalone}
usepackage{pgfplots}
    pgfplotsset{compat=1.15}
begin{document}
begin{tikzpicture}
    begin{axis}[
        view={0}{90},
        colormap/jet,
        colorbar,
%        colorbar style={yticklabel=$10^{pgfmathprintnumber{tick}}$},
%        zmode=log,
    ]
        addplot3[surf,shader=interp] table[x index=0,y index=1,z index=2] {map.txt};
    end{axis}
end{tikzpicture}
end{document}