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.
翻译:我们为分两阶段流动孔径方程制定了一个数字方法。该计划采用了内部惩罚不连续的Galerkin法和连续时间步骤法。未知数是阶段压力和迁移。解决方案的存在得到了证明。三维数字结果显示了拟议方法的准确性和稳健性。