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General Steady‐State Shape Factor for a Partially Penetrating Well
Author(s) -
Zlotnik Vitaly A.,
Goss David,
Duffield Glenn M.
Publication year - 2009
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.1745-6584.2009.00621.x
Subject(s) - aquifer , hydraulic conductivity , shape factor , slug test , hydraulic head , head (geology) , geotechnical engineering , steady state (chemistry) , constant (computer programming) , mechanics , boundary value problem , anisotropy , geology , flow (mathematics) , environmental remediation , soil science , geometry , groundwater , soil water , mathematics , physics , chemistry , mathematical analysis , geomorphology , computer science , optics , ecology , contamination , biology , programming language
We present the closed form of a general steady‐state shape factor for a partially penetrating well in a uniform anisotropic aquifer. Our simple analytical expression for the shape factor has a uniform representation for full range of parameters and meets or exceeds the accuracy of previous results obtained through semiempirical methods (e.g., Bouwer and Rice [1976] equations). This general shape factor pertains to the flow of fluids (water or air) in subsurface formations when the upper formation boundary has constant potential and the lower boundary is impermeable. The results of our investigation are directly applicable to analyses of (1) slug tests with falling or rising head and (2) injection/extraction tests with constant head, essential techniques for the characterization of hydraulic conductivity of aquifers, streambeds, or lakebeds as well as the design of aquifer and soil remediation systems.