ISSN:
1573-1634
Keywords:
fractured porous media
;
Green's functions
;
Laplace transforms
Source:
Springer Online Journal Archives 1860-2000
Topics:
Geosciences
,
Technology
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1006556700284
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