In this work, we consider a fully dynamic Biot model that includes memory effects due to evolving permeability. Time integrals are used to account for the change in structure. We propose an iterative splitting scheme for this model, extending the fixed-stress split for the quasi-static Biot. We use finite elements in space and a backward Euler discretization in time. The performance of the method is demonstrated through a numerical experiment

翻译：本文研究了一种包含渗透率演化所致记忆效应的全动态Biot模型。通过时间积分来表征结构变化，我们为该模型提出了迭代分裂格式，将准静态Biot模型的固定应力分裂法推广至动态情形。空间离散采用有限元方法，时间离散采用后向欧拉格式。通过数值实验验证了该方法的性能表现。