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A solution of steady-state fluid flow in multiply fractured isotropic porous media

Liolios Pantelis, Exadaktylos Georgios

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URI: http://purl.tuc.gr/dl/dias/CB8653A8-91E4-43B4-952F-7E9843399E41
Year 2006
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation P. A. Liolios and G. E. Exadaktylos, "A solution of steady-state fluid flow in multiply fractured isotropic porous media," Int. J. Solids Struct., vol. 43, no. 13, pp. 3960-3982, Jun. 2006. doi:10.1016/j.ijsolstr.2005.03.021 https://doi.org/10.1016/j.ijsolstr.2005.03.021
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Summary

Herein a plane, steady-state fluid flow solution for fractured porous media is first presented. The solution is based on the theory of complex potentials, the theory of Cauchy integrals, and of singular integral equations. Subsequently, a numerical method is illustrated that may be used for the accurate estimation of the pore pressure and pore pressure gradient fields due to specified hydraulic pressure or pore pressure gradient acting on the lips of one or multiple non-intersecting curvilinear cracks in a homogeneous and isotropic porous medium. It is shown that the numerical integration algorithm of the singular integral equations is fast and converges rapidly. After the successful validation of the numerical scheme several cases of multiple curvilinear cracks are illustrated.

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