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

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 accu...

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Bibliographic Details
Published in:International journal of solids and structures 2006-06, Vol.43 (13), p.3960-3982
Main Authors: Liolios, Pantelis A., Exadaktylos, George E.
Format: Article
Language:English
Subjects:
Cauchy integrals
Complex potentials
Crack
Fault
Fluid gradient
Pore pressure
Singular integral equations
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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.
ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2005.03.021