KGS Home Stream-aquifer home

Background Reports

Hydrology Home

Mathematical Derivations of Expressions for the Total Pumping-Induced Leakage Entering an Aquifer

James J. Butler, Jr.
Kansas Geological Survey, University of Kansas, Lawrence, KS 66047
KGS Open-file Report 2003-6


In this report, derivations of the Laplace-space expressions for the volume of pumping-induced leakage entering an aquifer (total leakage) are presented. These expressions, which are used by Butler and Tsou (in press) to demonstrate the scale invariance of total leakage, are obtained from the solutions of Hantush and Jacob (1955), Hantush (1960), and Butler et al. (2001). For the sake of generality, the expressions are presented in a dimensionless form. In all three cases, the Laplace-space expressions can be numerically inverted into real space using the Stehfest (1970) algorithm, as is done in Butler et al. (2001) and Butler and Tsou (in press).

The complete text of this report is available as an Adobe Acrobat PDF file.

Read the PDF version (Revised Nov. 16, 2003)

To read this file, you will need the Acrobat PDF Reader, available free from Adobe.

Kansas Geological Survey, Stream-Aqufer Interactions Project
Updated online Nov. 18, 2003
Comments to
The URL is HTTP://