We formulate a numerical method for solving the two-phase flow poroelasticity equations. The scheme employs the interior penalty discontinuous Galerkin method and a sequential time-stepping method. The unknowns are the phase pressures and the displacement. Existence of the solution is proved. Three-dimensional numerical results show the accuracy and robustness of the proposed method.

中文翻译：

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可变形多孔介质中两相流的连续不连续 Galerkin 方法

我们制定了求解两相流孔隙弹性方程的数值方法。该方案采用内部惩罚不连续Galerkin方法和顺序时间步长方法。未知数是相压力和位移。证明解的存在。三维数值结果表明了该方法的准确性和鲁棒性。