Abstract
A variety of models are considered: one-phase flow in a porous medium, two-phase flow in a porous medium with two rock types, and one-phase flow in a porous medium with fractures. For each of these models the domain of calculation is divided into subdomains corresponding to the physics of the problem. Then it is shown how to rewrite the problems as interface problems to use nonoverlapping domain decomposition.
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Alboin, C., Jaffré, J., Roberts, J.E., Wang, X., Serres, C. (2000). Domain Decomposition for Some Transmission Problems in Flow in Porous Media. In: Chen, Z., Ewing, R.E., Shi, ZC. (eds) Numerical Treatment of Multiphase Flows in Porous Media. Lecture Notes in Physics, vol 552. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45467-5_2
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DOI: https://doi.org/10.1007/3-540-45467-5_2
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