Contaminant transport in fractured porous media: Steady state solutions by a boundary integral method

1988 ◽  
Vol 24 (8) ◽  
pp. 1384-1396 ◽  
Author(s):  
A. Fogden ◽  
K. A. Landman ◽  
L. R. White
Keyword(s):  
Porous Media ◽  
Steady State ◽  
Contaminant Transport ◽  
Integral Method ◽  
Boundary Integral ◽  
Fractured Porous Media ◽  
Boundary Integral Method ◽  
Steady State Solutions

scholarly journals A boundary integral method for contaminant transport in two adjacent porous media

1989 ◽  
Vol 30 (3) ◽  
pp. 251-267 ◽  
Author(s):  
K. A. Landman
Keyword(s):  
Integral Equation ◽  
Porous Media ◽  
Contaminant Transport ◽  
Integral Method ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Contaminant Concentration ◽  
Two Dimensional ◽  
Initial Concentration ◽  
Media Systems

AbstractThe problem of transient two-dimensional transport by diffusion and advection of a decaying contaminant in two adjacent porous media is solved using a boundary-integral method. The method requires the construction of appropriate Green's functions. Application of Green's theorem in the plane then yields representations for the contaminant concentration in both regions in terms of an integral of the initial concentration over the region's interior and integrals along the boundaries of known quantities and the unknown interfacial flux between the two adjacent media. This flux is given by a first-kind integral equation, which can be solved numerically by a discretisation technique. Examples of contaminant transport in fractured porous media systems are presented.

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