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Analysis of a multiple-porosity model for single-phase flow through naturally fractured porous media. (English) Zbl 1024.76054

Summary: 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 homogenization theory. We obtain a model which generalizes the double-porosity model of T. Arbogast et al. [SIAM J. Math. Anal. 21, 823-836 (1990; Zbl 0698.76106)] to a flow system with an arbitrary finite number of scales.

MSC:

76S05 Flows in porous media; filtration; seepage
76M50 Homogenization applied to problems in fluid mechanics
35B27 Homogenization in context of PDEs; PDEs in media with periodic structure
35Q35 PDEs in connection with fluid mechanics

Citations:

Zbl 0698.76106
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