Abstract
A least-squares mixed formulation is developed for simulation of two-phase flow in porous media. Such problems arise in petroleum applications and ground-water flow. An adaptive strategy based on the element residual as an error indicator is developed in conjunction with unstructured remeshing and tested for the two-phase flow of oil and water. An element-by-element conjugate-gradient scheme (EBE-CG) is compared to a band solution algorithm.
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Biswas, D., Carey, G.F. A Least-Squares Mixed Scheme for the Simulation of Two-Phase Flow in Porous Media on Unstructured Grids. Transport in Porous Media 32, 75–95 (1998). https://doi.org/10.1023/A:1006551816131
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DOI: https://doi.org/10.1023/A:1006551816131