Flow in Random Porous Media

Transport in Porous Media - Tập 43 - Trang 395-406 - 2001
Joseph B. Keller1
1Departments of Mathematics and Mechanical Engineering, Stanford University, Stanford, U.S.A

Tóm tắt

Flow in a porous medium with a random hydraulic conductivity tensor K(x) is analyzed when the mean conductivity tensor $$\overline K$$ (x) is a non-constant function of position x. The results are a non-local expression for the mean flux vector $$\overline q$$ (x) in terms of the gradient of the mean hydraulic head $$\overline \varphi$$ (x), an integrodifferential equation for $$\overline \varphi$$ (x), and expressions for the two point covariance functions of q(x) and ϕ(x). When K(x) is a Gaussian random function, the joint probability distribution of the functions q(x) and ϕ(x) is determined.

Từ khóa


Tài liệu tham khảo

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Thông tin xuất bản

Transport in Porous Media

Tập 43

395-406

Thông tin tác giả