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Unsteady Flow to a Nonpenetrating Artesian Well
Author(s) -
Abdul Khader M. H.,
Ramadurgaiah D.
Publication year - 1976
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.1745-6584.1976.tb03104.x
Subject(s) - artesian aquifer , aquifer , mechanics , dimensionless quantity , laplace transform , groundwater flow equation , plane (geometry) , geology , anisotropy , flow (mathematics) , drawdown (hydrology) , geotechnical engineering , mathematics , geometry , groundwater , groundwater flow , mathematical analysis , physics , optics
Exact solution to the problem of unsteady drawdown in a leaky artesian aquifer due to a constant discharge nonpenetrating well is presented. Finiteness of the well radius and aquifer anisotropy are considered in formulating the problem. Solution is derived on the assumption that the flux entering the pumped well is uniformly distributed over the plane circular bottom of the well. The aquifer is considered to be finite in thickness, but of infinite lateral extent. The flow of ground water is assumed to be governed by Jacob's model of linear leakage. Laplace transformation technique is employed in the theoretical development. The drawdown function is numerically integrated in terms of dimensionless parameters of the flow system and the results are depicted in graphs.