Abstract
We study contaminant flow with sources in a fractured porous mediumconsisting of a single fracture bounded by a porous matrix. In the fracturewe assume convection, decay, surface adsorption to the interface, and lossto 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 equationfor an oblique boundary condition. Ultimately, we study the problemu t = u yy – λ u + f(x,y,t),x,y>0, t>0, u t = −u x + γu y – λ u on y = 0; u(0,0,t) =u0(t), t>0,with zero initial data. Using Laplace transforms we obtain the Green'sfunction for the problem, and we determine how contaminant sources in theporous media are propagated in time.
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Homp, M.R., David Logan, J. Contaminant Transport in Fractured Media with Sources in the Porous Domain. Transport in Porous Media 29, 341–353 (1997). https://doi.org/10.1023/A:1006556700284
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DOI: https://doi.org/10.1023/A:1006556700284