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On the modified groundwater flow equation: analytical solution via iteration method
Author(s) -
Atangana Abdon,
Alabaraoye Ernestine
Publication year - 2015
Publication title -
hydrological processes
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.222
H-Index - 161
eISSN - 1099-1085
pISSN - 0885-6087
DOI - 10.1002/hyp.10476
Subject(s) - groundwater flow equation , aquifer , groundwater flow , flow (mathematics) , groundwater , point (geometry) , aquifer test , mathematics , richards equation , mathematical analysis , geology , soil science , geotechnical engineering , geometry , groundwater recharge , soil water
To take into account the variability of the medium through which the groundwater flow takes place, we presented the groundwater flow equation within a confined aquifer with prolate coordinates. The new equation is a perturbed singular equation. The perturbed parameters is introduced and can be used as accurately replicate the variability of the aquifer from one point to another. When the perturbed parameter tends to zero, we recover the Theis equation. We solved analytically and iteratively the new equation. We compared the obtained solution with experimental observed data together with existing solutions. The comparison shows that the modified equation predicts more accurately the physical problem than the existing model. Copyright © 2015 John Wiley & Sons, Ltd.