Laplace-transform analytic element solution of transient flow in porous media

Alex Furman*, Shlomo P. Neuman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

47 Scopus citations


A Laplace-transform analytic element method (LT-AEM) is described for the solution of transient flow problems in porous media. Following Laplace transformation of the original flow problem, the analytic element method (AEM) is used to solve the resultant time-independent modified Helmholtz equation, and the solution is inverted numerically back into the time domain. The solution is entirely general, retaining the mathematical elegance and computational efficiency of the AEM while being amenable to parallel computation. It is especially well suited for problems in which a solution is required at a limited number of points in space-time, and for problems involving materials with sharply contrasting hydraulic properties. We illustrate the LT-AEM on transient flow through a uniform confined aquifer with a circular inclusion of contrasting hydraulic conductivity and specific storage. Our results compare well with published analytical solutions in the special case of radial flow.

Original languageEnglish
Pages (from-to)1229-1237
Number of pages9
JournalAdvances in Water Resources
Issue number12
StatePublished - Dec 2003
Externally publishedYes


  • Analytic element
  • Laplace transform
  • Transient flow


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