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Article Dans Une Revue Computers & Geosciences Année : 2013

SP2DINV: A 2 D forward and inverse code for streaming potential problems

Résumé

The self-potentialmethodcorrespondstothepassivemeasurementoftheelectrical field inresponseto the occurrenceofnaturalsourcesofcurrentintheground.Oneofthesesourcescorrespondstothe streaming currentassociatedwiththe flow ofthegroundwater.Wecanthereforeapplytheself- potentialmethodtorecovernon-intrusivelysomeinformationregardingthegroundwater flow.We first solvetheforwardproblemstartingwiththesolutionofthegroundwater flowproblem,thencomputing the sourcecurrentdensity,and finally solvingaPoissonequationfortheelectricalpotential.Weusethe finite-element methodtosolvetherelevantpartialdifferentialequations.Inordertoreducethenumber of (petrophysical)modelparametersrequiredtosolvetheforwardproblem,weintroducedaneffective charge densitytensoroftheporewater,whichcanbedetermineddirectlyfromthepermeabilitytensor for neutralporewaters.Thesecondaspectofourworkconcernstheinversionoftheself-potentialdata using Tikhonovregularizationwithsmoothnessandweightingdepthconstraints.Thisapproachaccounts for thedistributionoftheelectricalresistivity,whichcanbeindependentlyandapproximately determined fromelectricalresistivitytomography.Anumericalcode,SP2DINV,hasbeenimplemented in Matlabtoperformboththeforwardandinversemodeling.Threesyntheticcasestudiesarediscussed.

Dates et versions

hal-00925593 , version 1 (08-01-2014)

Identifiants

Citer

A. Soueid Ahmed, Abderrahim Jardani, A. Revil, Jean-Paul Dupont. SP2DINV: A 2 D forward and inverse code for streaming potential problems. Computers & Geosciences, 2013, 59, pp.9-16. ⟨10.1016/j.cageo.2013.05.008⟩. ⟨hal-00925593⟩
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