Analytical solution of a partially penetrating well in a two-layer aquifer

The behavior of a two‐layer aquifer pumped by a partially penetrating well is a matter of considerable interest. Analytical solutions are developed for drawdowns in either layer and are evaluated numerically to illustrate some typical cases. The validity of the solutions is demonstrated by compariso...

Full description

Saved in:
Bibliographic Details
Published in:Water resources research 1983-04, Vol.19 (2), p.567-578
Main Authors: Javandel, Iraj, Witherspoon, Paul A.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The behavior of a two‐layer aquifer pumped by a partially penetrating well is a matter of considerable interest. Analytical solutions are developed for drawdowns in either layer and are evaluated numerically to illustrate some typical cases. The validity of the solutions is demonstrated by comparison with the limiting single‐layer case and with results from finite element calculations. Asymptotic solutions for small and large values of time are developed to show that (1) at early times with partial penetration the behavior of the pumped layer is exactly the same as that of a single layer and (2) at large values of time a semilog plot of drawdown versus time yields a straight line whose slope is only a function of the sum of the two transmissivities. A method is proposed for the interpretation of pump test data.
ISSN:0043-1397
1944-7973
DOI:10.1029/WR019i002p00567