Flow to a well in a water-table aquifer: An improved laplace transform solution
Ground Water
By: A.F. Moench
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Abstract
An alternative Laplace transform solution for the problem, originally solved by Neuman, of constant discharge from a partially penetrating well in a water-table aquifer was obtained. The solution differs from existing solutions in that it is simpler in form and can be numerically inverted without the need for time-consuming numerical integration. The derivation invloves the use of the Laplace transform and a finite Fourier cosine series and avoids the Hankel transform used in prior derivations. The solution allows for water in the overlying unsaturated zone to be released either instantaneously in response to a declining water table as assumed by Neuman, or gradually as approximated by Boulton's convolution integral. Numerical evaluation yields results identical with results obtained by previously published methods with the advantage, under most well-aquifer configurations, of much reduced computation time.
Suggested Citation
Moench, A., 1996, Flow to a well in a water-table aquifer: An improved laplace transform solution: Ground Water, v. 34, no. 4, p. 593-604, https://doi.org/10.1111/j.1745-6584.1996.tb02045.x.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Flow to a well in a water-table aquifer: An improved laplace transform solution |
| Series title | Ground Water |
| DOI | 10.1111/j.1745-6584.1996.tb02045.x |
| Volume | 34 |
| Issue | 4 |
| Publication Date | August 04, 2005 |
| Year Published | 1996 |
| Language | English |
| Publisher | Wiley |
| Contributing office(s) | Toxic Substances Hydrology Program |
| Description | 12 p. |
| First page | 593 |
| Last page | 604 |