Cj. Leo et Jr. Booker, BOUNDARY-ELEMENT ANALYSIS OF CONTAMINANT TRANSPORT IN FRACTURED POROUS-MEDIA, International journal for numerical and analytical methods in geomechanics, 17(7), 1993, pp. 471-492
A two-dimensional boundary integral method to analyse the flow of cont
aminant in fractured media having a two- or three-dimensional orthogon
al fracture network is presented. The method assumes that the fracture
s provide the paths of least resistance for transport of contaminants
while the matrix, because of its low permeability, acts as 'storage bl
ocks' into which the contaminant diffuses. Laplace transform is used t
o eliminate the time variable in the governing equation in order to fa
cilitate the formulation of a boundary integral equation in the Laplac
e transform space. Conventional boundary element techniques are applie
d to solve for the contaminant concentrations at specified locations i
n the spatial domain. The concentration in the time domain is then obt
ained by using an efficient inversion technique developed by Talbot. T
he method is able to analyse the behaviour of waste repositories which
have diminishing concentration due to the mass transport of the conta
minant into the surrounding fractured media.