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Inverse Solutions of the Theis Equation Determined with Programmable Calculators
Author(s) -
Grimestad Garry
Publication year - 1981
Publication title -
groundwater
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.84
H-Index - 94
eISSN - 1745-6584
pISSN - 0017-467X
DOI - 10.1111/j.1745-6584.1981.tb03485.x
Subject(s) - calculator , inverse , aquifer test , function (biology) , series (stratigraphy) , mathematics , inverse function , range (aeronautics) , computer science , polynomial , point (geometry) , process (computing) , expression (computer science) , algorithm , aquifer , mathematical analysis , geology , engineering , geometry , geotechnical engineering , groundwater , paleontology , groundwater recharge , evolutionary biology , aerospace engineering , biology , operating system , programming language
This is the second of two articles on calculator programs for inverse solutions of the Theis equation. Newton's method is used to develop an iteration formula for the determination of transmissivity and storage coefficient values from a combined Theissian expression that incorporates the information contained in two independent aquifer test data point sets. The algorithm is used in a polynomial‐based program for Hewlett Packard HP 67/97 calculators that is designed to process data corresponding to the full practical range of Theis well function arguments and to accept measurements from one or two observation wells, or from entirely different tests of a given aquifer. Program modifications providing for series‐based well function calculations are appended, and example calculations are shown.