COMPUTATIONAL MULTISCALE METHODS FOR LINEAR HETEROGENEOUS POROELASTICITY

• 来源期刊: 计算数学（英文版）
• 关键词: Poroelasticity Heterogeneous media Numerical homogenization Multiscale methods
• 年，卷（期）: 2020,（1）
• 页码范围: 41-57
• 页数: 17页
• 语种: 英文
• DOI: 10.4208/jcm.1902-m2018-0186

摘要

We consider a strongly heterogeneous medium saturated by an incompressible viscous fluid as it appears in geomechanical modeling.This poroelasticity problem suffers from rapidly oscillating material parameters,which calls for a thorough numerical treatment.In this paper,we propose a method based on the local orthogonal decomposition technique and motivated by a similar approach used for linear thermoelasticity.Therein,local corrector problems are constructed in line with the static equations,whereas we propose to consider the full system.This allows to benefit from the given saddle point structure and results in two decoupled corrector problems for the displacement and the pressure.We prove the optimal first-order convergence of this method and verify the result by numerical experiments.