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Inverse Solutions of the Theis Equation Determined with Programmable Calculators I—Single Parameter Calculations
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.tb03484.x
Subject(s) - calculator , inverse , mathematics , function (biology) , variable (mathematics) , aquifer test , series (stratigraphy) , polynomial , computer science , algorithm , calculus (dental) , mathematical analysis , engineering , geology , geometry , medicine , geotechnical engineering , dentistry , groundwater recharge , evolutionary biology , aquifer , groundwater , biology , operating system , paleontology
This is the first of two articles on calculator programs for inverse solutions of the Theis equation. Newton's method is used to solve the Theis equation in terms of its principal well function argument parameters. The resulting iteration formulas are incorporated in an otherwise conventional polynomial‐based drawdown program for Hewlett Packard HP 67/97 calculators. The calculator program can solve, in addition to conventional drawdown problems, those problems requiring treatment of the time, distance, storage coefficient, or transmissivity as a dependent variable. Example calculations are shown and program modifications providing for series‐based well function calculations are appended.