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Convergent radial dispersion: a Laplace transform solution for aquifer tracer testing

Water Resources Research

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Abstract

A Laplace transform solution was obtained for the injection of a tracer in a well situated in a homogeneous aquifer where steady, horizontal, radially convergent flow has been established due to pumping at a second well. The standard advection-dispersion equation for mass transfer was used as the controlling equation. For boundary conditions, mass balances that account for mixing of the tracer with the fluid residing in the injection and pumping wells were used. The derived solution, which can be adapted for either resident or flux-averaged concentration, is of practical use only for the pumped well. This problem is of interest because it is easily applied to field determination of aquifer dispersivity and effective porosity. Breakthrough curves were obtained by numerical inversion of the Laplace transform solution. -from Author

Additional Publication Details

Publication type:
Article
Publication Subtype:
Journal Article
Title:
Convergent radial dispersion: a Laplace transform solution for aquifer tracer testing
Series title:
Water Resources Research
Volume
25
Issue:
3
Year Published:
1989
Language:
English
Larger Work Type:
Article
Larger Work Subtype:
Journal Article
Larger Work Title:
Water Resources Research
First page:
439
Last page:
447
Number of Pages:
9