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About the Porous Media Flow Through Circular and Elliptical Anisotropic Inhomogeneities

Abstract

In this article, we describe horizontal groundwater flow due to a uniform flow at infinity around a cylindrical or elliptical inhomogeneity, where the permeability inside the inhomogeneity is anisotropic and different from the isotropic domain outside the inhomogeneity. The orientation of the uniform flow with respect to the orientation of the ellipse is arbitrary as well as the orientation of the anisotropy inside the ellipse. We derive an expression for the ratio of the flow through the ellipse with respect to the flow in the homogeneous case.

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Acknowledgments

The author thanks Christophe Frippiat (Louvain-la-Neuve, Belgium) for suggesting this problem.

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Correspondence to E. J. M. Veling.

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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.

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Veling, E.J.M. About the Porous Media Flow Through Circular and Elliptical Anisotropic Inhomogeneities. Transp Porous Med 91, 717–732 (2012). https://doi.org/10.1007/s11242-011-9868-9

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Keywords

  • Analytical solution
  • Groundwater flow
  • Anisotropy
  • Cylindrical inhomogeneity
  • Elliptical inhomogeneity