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Behavior of groundwater flow subject to time‐varying recharge
Author(s) -
Tseng M. T.,
Ragan R. M.
Publication year - 1973
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/wr009i003p00734
Subject(s) - groundwater recharge , aquifer , groundwater flow , groundwater flow equation , flow (mathematics) , groundwater , geology , boundary value problem , groundwater model , nonlinear system , mechanics , geotechnical engineering , mathematics , mathematical analysis , physics , quantum mechanics
The objective of this paper is to investigate the dynamic response of two‐dimensional unconfined aquifers subject to localized recharge. The variations of free surface profiles, discharges, and the flow patterns with respect to time in both fully penetrated and partially penetrated aquifer systems have been obtained by solving the governing partial differential equations numerically. The method treats the nonlinear free surface boundary as an initial condition, and the overall flow region has been solved as a boundary value problem at a given time. The numerical results agree with experimental data obtained from Hele‐Shaw models. The method may be applied to study the quantitative and qualitative changes in groundwater reservoirs resulting from artificial or natural recharge. The method gives a point of departure for study of groundwater pollution.