Research Article
Conditional Stochastic Simulations of Flow and Transport with Karhunen-Loève Expansions, Stochastic Collocation, and Sequential Gaussian Simulation
Table 1
Stochastic convergence results for KL-MC simulations with
in the pressures and fluxes. Convergence ratios are given in parentheses.
| | Pressure error | Flux error | Flux error |
| Results for | 100 | 0.871395160535 | 0.065990195314 | 0.028573904583 | 400 | 0.364829041492 (2.39) | 0.069916447041 (0.94) | 0.018699389288 (1.52) | 1600 | 0.055858569054 (6.53) | 0.021215209498 (3.29) | 0.006586753979 (2.83) | 6400 | 0.054169889340 (1.03) | 0.012411413073 (1.71) | 0.003615613202 (1.82) |
| Results for | 100 | 0.254380891374 | 0.049476177143 | 0.026290307316 | 400 | 0.112240817113 (2.27) | 0.024602883474 (2.01) | 0.011912256200 (2.21) | 1600 | 0.064059879872 (1.75) | 0.011673912035 (2.11) | 0.004237191244 (2.81) | 6400 | 0.050133900679 (1.28) | 0.008381613088 (1.39) | 0.003806688304 (1.11) |
| Results for | 100 | 0.441427542393 | 0.047070576489 | 0.022927539745 | 400 | 0.204776531658 (2.16) | 0.025904577051 (1.82) | 0.014762469928 (1.55) | 1600 | 0.093540699576 (2.19) | 0.015060205886 (1.72) | 0.006659195033 (2.22) | 6400 | 0.035279177226 (2.65) | 0.005514284413 (2.73) | 0.002559067034 (2.60) |
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