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INTERFERENCE BETWEEN GRAVITY WELLS STEADY STATE FLOW 1
Author(s) -
Kashef AbdelAziz I.
Publication year - 1970
Publication title -
jawra journal of the american water resources association
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.957
H-Index - 105
eISSN - 1752-1688
pISSN - 1093-474X
DOI - 10.1111/j.1752-1688.1970.tb00522.x
Subject(s) - superposition principle , laplace transform , mechanics , head (geology) , hydraulic head , flow (mathematics) , steady state (chemistry) , pressure head , physics , pressure gradient , mathematics , mathematical analysis , geology , thermodynamics , chemistry , geomorphology
Under steady state conditions of flow, the seepage toward a single gravity well is governed by the Laplace Equation which may be written in terms of either the hydraulic head, the pressure head or the velocity potential. Although this equation is linear, the principle of superposition cannot be applied to sum up the individual effects in the case of a multiple gravity well system due to the variation of the flow domain under the effect of one or several wells. A method is presented allowing the use of the superposition principle in a restricted form. The superposition of the decrements of the base pressure heads than the initial heads before pumping is valid. Also the decrements in the areas of the pressure head diagrams across specific vertical sections than the original areas can be summed up together.