Abstract
This paper examines the problem of the nonreactive advective transport of a contaminant that is introduced at the boundary of a three‐dimensional cavity contained in a fluid‐saturated nondeformable porous medium of infinite extent. The advective Darcy flow is caused by a hydraulic potential maintained at a constant value at the boundary of the three‐dimensional cavity. In order to develop a generalized solution to the problem the three‐dimensional cavity region is modeled as having either a prolate or an oblate shape. Analytical results are developed for the time‐ and space‐dependent distribution of contaminant concentration in the porous medium, which can also exhibit natural attenuation. The exact closed‐form analytical results are also capable of providing solutions to advective transport problems related to spherical, flat disc‐shaped and elongated needle‐shaped cavities.
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