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Unsteady flow in confined aquifers: A comparison of two boundary integral methods
Author(s) -
Liggett James A.,
Liu Philip L.F.
Publication year - 1979
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/wr015i004p00861
Subject(s) - laplace transform , mathematics , laplace transform applied to differential equations , integral transform , mathematical analysis , groundwater flow equation , partial differential equation , laplace's equation , two sided laplace transform , inverse laplace transform , integral equation , inversion (geology) , diffusion equation , aquifer , boundary value problem , laplace–stieltjes transform , fourier transform , groundwater flow , geology , geotechnical engineering , groundwater , fourier analysis , fractional fourier transform , paleontology , economy , service (business) , structural basin , economics
The boundary integral equation method )BIEM( is used for the solution of unsteady flow in confined aquifers. Such flows are described by a diffusion equation. Two approaches are presented. The first method removes the time derivatives with a Laplace transform first and solves an associated equation with the BIEM for several values of the transform parameter. A numerical transform inversion is then used to express the results in physical terms. The second method solves the differential equation directly with the BIEM. Both of these techniques are compared to the exact solutions of two simple problems. The Laplace transform method is found to be superior for general use, although the direct method is simpler and requires less judgment on the part of the analyst.