Analysis of a multiple‐porosity model for single‐phase flowthrough naturally fractured porous media

Anna Maria Spagnuolo, Steve J. Wright · Journal of Applied Mathematics · 2003

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.

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