کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4525991 1625673 2012 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Three-dimensional flow in fractured porous media: A potential solution based on singular integral equations
موضوعات مرتبط
مهندسی و علوم پایه علوم زمین و سیارات فرآیندهای سطح زمین
پیش نمایش صفحه اول مقاله
Three-dimensional flow in fractured porous media: A potential solution based on singular integral equations
چکیده انگلیسی

Governing equations for flow in three-dimensional heterogeneous and anisotropic porous media containing fractures or cracks with infinite transverse permeability are described. Fractures are modeled as zero thickness curve surfaces with the possibility of multiple intersections. It is assumed that flow obeys to an anisotropic Darcy’s law in the porous matrix and to a Poiseuille type law in fractures. The mass exchange relations at fractures intersections are carefully investigated as to establish a complete mathematical formulation for the flow problem in a fractured porous body. A general potential solution, based on singular integral equations, is established for steady state flow in an infinite fractured body with uniform and isotropic matrix permeability. The main unknown variable in the equations is the pressure field on the crack surfaces, reducing thus from three to two the dimension of the numerical problem. A general transformation lemma is then given that allows extending the solution to matrices with anisotropic permeability. The results lead to a simple and efficient numerical method for modeling flow in three-dimensional fractured porous bodies.


► Complete mathematical formulation for 3D flow in fractured porous media.
► Mass balance conditions on fracture intersection lines.
► Linear transformation for changing anisotropic problems into isotropic ones.
► Pressure field potential solution based on singular integral equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Water Resources - Volume 35, January 2012, Pages 30–40
نویسندگان
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