FINITE ELEMENT METHOD FOR SUBSURFACE HYDROLOGY USING A MIXED EXPLICIT-IMPLICIT SCHEME.

T. N. Narasimhan, Shlomo P Neuman, P. A. Witherspoon

Research output: Contribution to journalArticle

39 Scopus citations

Abstract

The mixed explicit-implicit Galerkin finite element method developed previously by the authors is shown to be suited for a wide class of problems arising in subsurface hydrology. These problems include confined saturated flow, unconfined flow under free surface conditions subject to the Dupuit assumption, flow in aquifers which are partly confined and partly unconfined, axisymmetric flow to a well with storage, and flow in saturated-unsaturated soils. Five examples are presented to demonstrate the versatility and power of this new approach. A purely physical derivation of the finite element equations which does not rely on the Galerkin formalism is also included.

Original languageEnglish (US)
Pages (from-to)863-877
Number of pages15
JournalWater Resources Research
Volume14
Issue number5
Publication statusPublished - Oct 1978
Externally publishedYes

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ASJC Scopus subject areas

  • Aquatic Science
  • Environmental Science(all)
  • Environmental Chemistry
  • Water Science and Technology

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