Author： Homp M.R. David Logan J.
Publisher： Springer Publishing Company
ISSN： 0169-3913
Source： Transport in Porous Media, Vol.29, Iss.3, 1997-12, pp. : 341-353
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Abstract
We study contaminant flow with sources in a fractured porous medium consisting of a single fracture bounded by a porous matrix. In the fracture we assume convection, decay, surface adsorption to the interface, and loss to the porous matrix; in the porous matrix we include diffusion, decay, adsorption, and contaminant sources. The model leads to a nonhomogeneous, linear parabolic equation in a quarter-space with a differential equation for an oblique boundary condition. Ultimately, we study the problem u_t = u_yy – u + f(x,y,t), x,y>0, t>0, u_t = -u_x + u_y – u on y = 0; u(0,0,t) = u_0(t), t>0, with zero initial data. Using Laplace transforms we obtain the Green's function for the problem, and we determine how contaminant sources in the porous media are propagated in time.
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