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INVERSE SOLUTIONS OF HANTUSH'S EQUATIONS FOR AXISYMMETRIC MOUNDING
Author(s) -
Allen Dan H.
Publication year - 1986
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.1745-6584.1986.tb01695.x
Subject(s) - calculator , rotational symmetry , inverse , hydraulic conductivity , radius , yield (engineering) , function (biology) , mathematics , conductivity , mathematical analysis , computer science , physics , geology , geometry , thermodynamics , soil science , computer security , evolutionary biology , biology , soil water , operating system , quantum mechanics
. Hantush (1967) provided time‐dependent equations for describing ground‐water mounds resulting from axisymmetric recharge. Because these equations contain the well function, they cannot be solved explicitly for the several variables employed in terms of the known mound height. Newton's method provides a means to achieve solutions for specific yield, hydraulic conductivity, time, or radius. An additional routine is provided which searches for the second solution in the case in which the inverse solution for hydraulic conductivity is doublevalued. The iterations can be performed on an HP‐41C handheld calculator with three memory modules. The code is provided and will run with or without the printer attached.