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Analytical solution incorporating nonlinear radial flow in confined aquifers
Author(s) -
Şen Zekâi
Publication year - 1988
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr024i004p00601
Subject(s) - aquifer , laminar flow , nonlinear system , flow (mathematics) , groundwater flow , geology , well test (oil and gas) , groundwater flow equation , boundary value problem , mechanics , geotechnical engineering , mathematics , groundwater , petroleum engineering , mathematical analysis , physics , quantum mechanics
Type curve expressions are derived for the nonlinear flow in confined aquifers on the basis of Forchheimer (1901) flow law which presents a combination of the laminar and turbulent flows of the groundwater. Solutions of the relevant initial boundary value problem are achieved by the application of the Boltzmann transformation that permits the coupling of the continuity equation and Forchheimer's law. The validity of the obtained results are checked against the well‐known Theis and Jacob equations which are only applicable to linear (Darcian) flow. Necessary type curves matching of all times and a straight line method for large times are proposed to evaluate the aquifer parameters with aquifer tests conducted in nonlinear flow conditions. An example application of the proposed methodology is given for aquifer test results in Nova Scotia, Canada.