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Multilayered leaky aquifer systems: 1. Pumping well solutions
Author(s) -
Cheng A. H.D.,
Morohunfola O. K.
Publication year - 1993
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 - 10.1029/93wr00768
Subject(s) - aquifer , laplace transform , aquifer test , geology , variable (mathematics) , partial differential equation , inverse laplace transform , mathematical analysis , mathematics , mechanics , geotechnical engineering , groundwater , physics , groundwater recharge
This paper presents an analytical solution of a radial flow to a pumping well at constant discharge located in a multilayered leaky aquifer system. The aquifer system is composed of alternating layer of aquifers and aquitards and is modeled after the theory of Neuman‐Witherspoon and Herrera. The resulting coupled integrodifferential equation system is handled by the Laplace transform technique which removes not only the time variable but also the convolutional integral. Green's functions for the coupled elliptic partial differential equations are then sought. Utilizing a numerical Laplace inversion algorithm, the drawdown at any given time and location in any layer can be evaluated. Several examples are given for validation and exploration purposes.