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Approximate discharge for constant head test with recharging boundary
Author(s) -
Renard Philippe
Publication year - 2005
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.1745-6584.2005.0024.x
Subject(s) - asymptote , aquifer , constant (computer programming) , inflow , laplace transform , mathematics , head (geology) , mathematical analysis , exact solutions in general relativity , inversion (geology) , approximation error , drawdown (hydrology) , boundary value problem , well test (oil and gas) , mechanics , geology , groundwater , geotechnical engineering , physics , computer science , paleontology , structural basin , geomorphology , programming language
The calculation of the discharge to a constant drawdown well or tunnel in the presence of an infinite linear constant head boundary in an ideal confined aquifer usually relies on the numerical inversion of a Laplace transform solution. Such a solution is used to interpret constant head tests in wells or to roughly estimate ground water inflow into tunnels. In this paper, a simple approximate solution is proposed. Its maximum relative error is on the order of 2% as compared to the exact analytical solution. The approximation is a weighted mean between the early‐time and late‐time asymptotes.