MULTISCALE FINITE ELEMENT METHODS FOR MISCIBLE AND IMMISCIBLE FLOW IN POROUS MEDIA

摘要

We have presented a successful numerical method for the solution of nonlinear conservation laws, which is based on a multiscale decomposition of the variable of interest, and applied it to the problems of miscible and immiscible two-phase flow in porous media. To the best of our knowledge, this approach is entirely new in the context of flow in porous media. The proposed modified subgrid scale method with shock-capturing shows exceptional performance in the test cases studied. We are now extending this methodology to multiphase compositional flows in multidimensions.