Two-scale formal asymptotic expansions for media with small periodic perforated configuration with diffusion
Xiaochao Zhang · Journal of Guangzhou University · 2009
In theoretical physics and stochastic analysis,percolation theory has emerged for probabilistic models which the connectedness properties of some component dominate the behavior.Developments in porous media have taken place in almost independent areas.The two-scale asymptotic expressions of pressure and velocity for media with diffusion for composite materials with small periodic perforated configuration are given,especially in the asymptotic expressions the homogenized Darcy's law between homogenized pressure and homogenized velocity is presented.