A high order method for solving the black-oil problem in porous media

作者：Rankin Richard; Riviere Beatrice^*

来源：Advances in Water Resources, 2015, 78: 126-144.

DOI：10.1016/j.advwatres.2015.01.007

• Black-oil problem
• Discontinuous Galerkin
• High order
• Sequential implicit
• Capillary pressures

A high order method is formulated for solving the compressible black-oil problem with capillary effects in one-dimensional domains. The sequential implicit formulation combined with the interior penalty discontinuous Galerkin method is employed. The contribution of this work is to show convergence and robustness of high order polynomial approximations (up to fourth order) for saturated and undersaturated reservoirs.

• 出版日期2015-4