The Homogenization Method for the Study of Fluid Flow in Porous Media

The homogenization method is a mathematical method used for the study of the initial-value and boundary-value problems in domains with a periodic structure. If the dimensions of a period are small compared to the size of the whole domain, it is natural to define a small parameter ε as the ratio between those dimensions. The study of the initial-value and boundary-value problems is associated with this small parameter. The asymptotic process ε → 0 represents the transition from microscopic to macroscopic phenomena.