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Nonlinear technological functions for aquifers whose transmissivities vary with drawdown
Author(s) -
Maddock T.
Publication year - 1974
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr010i004p00877
Subject(s) - drawdown (hydrology) , aquifer , nonlinear system , series (stratigraphy) , algebraic equation , mathematics , power series , flow (mathematics) , function (biology) , mathematical analysis , geotechnical engineering , mechanics , geology , geometry , physics , groundwater , quantum mechanics , paleontology , evolutionary biology , biology
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.