Homogenization of one phase flow in a highly heterogeneous porous medium including a thin layer

摘要: In this work we consider a model problem describing one phase flow through thin porous layer made of weakly per- meable blocks separated by fissures. The is modeled linear parabolic equation considered in bounded 2D domain with high contrast coefficients. involves three small parameters: the first characterizes periodicity distribution layer, second stands for thickness third volume fraction fissure part layer. Using notion two-scale convergence, derive homogenized models which govern global behavior when parameters tend to zero. essentially depend on relation between parameters.