We present benchmark computations of dynamic poroelasticity modeling fluid flow in deformable porous media by a coupled hyperbolic-parabolic system of partial differential equations. A challenging benchmark setting and goal quantities of physical interest for this problem are proposed. Computations performed by space-time finite element approximations with continuous and discontinuous discretizations of the time variable are summarized. By this work we intend to stimulate comparative studies by other research groups for the evaluation of dynamic poroelasticity solver regarding the accuracy of discretization techniques, the efficiency and robustness of iterative methods for the linear systems and the arrangement of the model equations in terms of their variables (two-field or multi-field formulations).

翻译：本文针对可变形多孔介质中流体流动的动态多孔弹性问题，提出由耦合双曲-抛物型偏微分方程组描述的基准计算。我们设计了具有挑战性的基准场景及物理感兴趣的目标量，并总结了采用时空有限元近似（时间变量分别采用连续和离散化离散格式）的计算结果。本工作旨在促进其他研究团队开展对比研究，以评估动态多孔弹性求解器在离散技术精度、线性系统迭代方法的效率与鲁棒性，以及模型方程变量配置方式（双场或多场公式）方面的性能。