Contaminant transport in fractured porous media: analytical solutions for a system of parallel fractures

Journal Article · Wed Dec 01 04:00:00 EST 1982 · Water Resour. Res.; (United States)

DOI:https://doi.org/10.1029/WR018i006p01634· OSTI ID:5756552

Sudicky, E A; Frind, E O

An exact analytical solution is developed for the problem of transient contaminant transport in discrete parallel fractures situated in a porous rock matrix. The solution takes into account advective transport in the fractures, molecular diffusion and mechanical dispersion along the fracture axes, molecular diffusion from the fracture to the porous matrix, adsorption onto the face of the matrix, adsorption within the matrix, and radioactive decay. The general transient solution is in the form of a double integral that is evaluated using Gauss-Legendre quandrature. A transient solution is also presented for the simpler problem that assumes negligible longitudinal dispersion along the fracture. This assumption is usually reasonable when the advective flux in a fracture is large. A comparison between two steady state solutions, one with dispersion and one without, permits a criterion to be developed that is useful for assessing the significance of longitudinal dispersion in terms of the overall system response. Examples of the solutions demonstrate that penetration distances along fractures can be substantially larger through multiple, closely spaced fractures than through a single fracture because of the limited capability of the finite matrix to store solute.

• Research Organization: Univ. of Waterloo, Ontario, Canada
• OSTI ID: 5756552
• Journal Information: Water Resour. Res.; (United States), Journal Name: Water Resour. Res.; (United States) Vol. 18:6; ISSN WRERA
• Country of Publication: United States
• Language: English

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FLUID FLOW
FLUIDS
FRACTURE PROPERTIES
FRACTURED RESERVOIRS
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