Nonlinear technological functions for aquifers whose transmissivities vary with drawdown

An algebraic technological function (ATF) is shown to exist for an aquifer whose flow to wells can be remodeled by Boussinesq's equation. Drawdown is shown to be an infinite power series in pumping values, and the ATF is provided by a finite sum of the power series. The number of terms necessar...

Full description

Saved in:
Bibliographic Details
Published in:Water resources research 1974-01, Vol.10 (4), p.877-881
Main Author: Maddock, T.
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:An algebraic technological function (ATF) is shown to exist for an aquifer whose flow to wells can be remodeled by Boussinesq's equation. Drawdown is shown to be an infinite power series in pumping values, and the ATF is provided by a finite sum of the power series. The number of terms necessary for the finite sum to provide a good approximation to the infinite series is shown to depend on a ratio of drawdown to saturated thickness. The ATF can be used in optimization techniques or as a method for predicting drawdowns from pumping.
ISSN:0043-1397
1944-7973
DOI:10.1029/WR010i004p00877