Journal of Applied Mathematics 
Volume 2003 (2003), Issue 7, Pages 327-364
doi:10.1155/S1110757X03205143

Analysis of a multiple-porosity model for single-phase flow through naturally fractured porous media

Anna Maria Spagnuolo and Steve Wright

 Department of Mathematics and Statistics, Oakland University, Rochester 48309-4485, MI, USA
Received 28 May 2002; Revised 24 February 2003

Abstract

A derivation of a multiple-porosity model for the flow of a single phase, slightly compressible fluid in a multiscale, naturally fractured reservoir is presented by means of recursive use of homagnetization theory. We obtain a model which generalizes the double-porosity model of Arbogast et al. (1990) to a flow system with an arbitrary finite number of scales.