1887

Abstract

Summary

In this work, we propose a new time-stepping method for the simulation of transport in two-phase flows. Our method relies on constant initial saturation conditions and builds on the streamline-based discretization. For example, in sampling methods such as multi-level Monte Carlo, many probable scenarios of an uncertain permeability field have to be simulated with inexpensive models in order to quantify the uncertainty of phase saturations. However, since the statistical error converges slowly, large ensembles are needed and therefore, the computational cost per sample has to be small. We illustrate the performance of our new inexpensive, yet accurate time-stepping scheme in Buckley-Leverett type problems involving multi-Gaussian as well as more realistic channelized permeability fields.

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/content/papers/10.3997/2214-4609.202035038
2020-09-14
2021-09-20
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References

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