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

Alex Furman; A. W. Warrick; Ty P.A. Ferré

doi:10.2113/1.2.273

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

Alex Furman^*, A. W. Warrick, Ty P.A. Ferré

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

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 language	English
Pages (from-to)	273-280
Number of pages	8
Journal	Vadose Zone Journal
Volume	1
Issue number	2
DOIs	https://doi.org/10.2113/1.2.273
State	Published - Nov 2002
Externally published	Yes

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10.2113/1.2.273

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

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.",

author = "Alex Furman and Warrick, {A. W.} and Ferr{\'e}, {Ty P.A.}",

year = "2002",

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T1 - Electrical potential distributions in a heterogeneous subsurface in response to applied current

T2 - Solution for circular inclusions

AU - Furman, Alex

AU - Warrick, A. W.

AU - Ferré, Ty P.A.

PY - 2002/11

Y1 - 2002/11

N2 - 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.

AB - 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.

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U2 - 10.2113/1.2.273

DO - 10.2113/1.2.273

M3 - 文章

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SN - 1539-1663

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SP - 273

EP - 280

JO - Vadose Zone Journal

JF - Vadose Zone Journal

IS - 2

ER -

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

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