Electrical potential distributions in a heterogeneous subsurface in response to applied current: Solution for circular inclusions

Alex Furman, A. W. Warrick, Paul A Ferre

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

An analytic solution to the Laplace equation for potential distribution in response to current flow in a heterogeneous, two-dimensional semi-infinite domain is studied. Circular heterogeneities of varying sizes and electrical conductivities are considered. We investigate the response of the stream function, the potential field, and, in particular, the potential at the top boundary relative to the background as a function of the size, location, and electrical conductivity of circular inclusions taken singly or multiply. The analytic solution sets the basis for the application of sensitivity analysis to the electrical resistance tomography (ERT) method, as an initial step toward improving the application of the method to tracking rapid hydrological processes.

Original languageEnglish (US)
Pages (from-to)273-280
Number of pages8
JournalVadose Zone Journal
Volume1
Issue number2
StatePublished - Nov 2002

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electrical conductivity
electrical resistance
tomography
potential field
application methods
sensitivity analysis
distribution
method
methodology

ASJC Scopus subject areas

  • Soil Science

Cite this

Electrical potential distributions in a heterogeneous subsurface in response to applied current : Solution for circular inclusions. / Furman, Alex; Warrick, A. W.; Ferre, Paul A.

In: Vadose Zone Journal, Vol. 1, No. 2, 11.2002, p. 273-280.

Research output: Contribution to journalArticle

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