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Multiscale nonlocal flow in a fractured porous medium

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Abstract

We study the flow generated by an incompressible viscoelastic fluid in a fractured porous medium. The model consists of a fluid flow governed by Stokes–Volterra equations evolving in a periodic double-porosity medium. Using the multiscale convergence method associated to some recent tools about the convergence of convolution sequences, we show that the equivalent macroscopic model is of the same type as the microscopic one, but in a fixed domain.

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Acknowledgments

The author thanks the referees for their careful reading of the manuscript and insightful comments and suggestions.

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  1. Department of Mathematics and Computer Science, University of Dschang, P.O. Box 67, Dschang, Cameroon

    Jean Louis Woukeng

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  1. Jean Louis Woukeng
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Correspondence to Jean Louis Woukeng.

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Woukeng, J.L. Multiscale nonlocal flow in a fractured porous medium. Ann Univ Ferrara 61, 173–200 (2015). https://doi.org/10.1007/s11565-014-0218-z

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  • DOI: https://doi.org/10.1007/s11565-014-0218-z

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