Resistivity inversion in 2-D anisotropic media: numerical experiments

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dc.contributor.authorWiese, T.
dc.contributor.authorGreenhalgh, S.
dc.contributor.authorZhou, B.
dc.contributor.authorGreenhalgh, M.
dc.contributor.authorMarescot, L.
dc.date.issued2015
dc.description.abstractMany rocks and layered/fractured sequences have a clearly expressed electrical anisotropy although it is rare in practice to incorporate anisotropy into resistivity inversion. In this contribution, we present a series of 2.5-D synthetic inversion experiments for various electrode configurations and 2-D anisotropic models. We examine and compare the image reconstructions obtained using the correct anisotropic inversion code with those obtained using the false but widely used isotropic assumption. Superior reconstruction in terms of reduced data misfit, true anomaly shape and position, and anisotropic background parameters were obtained when the correct anisotropic assumption was employed for medium to high coefficients of anisotropy. However, for low coefficient values the isotropic assumption produced better-quality results. When an erroneous isotropic inversion is performed on medium to high level anisotropic data, the images are dominated by patterns of banded artefacts and high data misfits. Various pole-pole, pole-dipole and dipole-dipole data sets were investigated and evaluated for the accuracy of the inversion result. The eigenvalue spectra of the pseudo-Hessian matrix and the formal resolution matrix were also computed to determine the information content and goodness of the results. We also present a data selection strategy based on high sensitivity measurements which drastically reduces the number of data to be inverted but still produces comparable results to that of the comprehensive data set. Inversion was carried out using transversely isotropic model parameters described in two different co-ordinate frames for the conductivity tensor, namely Cartesian versus natural or eigenframe. The Cartesian frame provided a more stable inversion product. This can be simply explained from inspection of the eigenspectra of the pseudo-Hessian matrix for the two model descriptions.
dc.description.statementofresponsibilityTimothy Wiese, Stewart Greenhalgh, Bing Zhou, Mark Greenhalgh and Laurent Marescot
dc.identifier.citationGeophysical Journal International, 2015; 201(1):247-266
dc.identifier.doi10.1093/gji/ggv012
dc.identifier.issn0956-540X
dc.identifier.issn1365-246X
dc.identifier.urihttp://hdl.handle.net/2440/100651
dc.language.isoen
dc.publisherOxford University Press
dc.relation.grantARC
dc.rights© The Authors 2015. Published by Oxford University Press on behalf of The Royal Astronomical Society.
dc.source.urihttps://doi.org/10.1093/gji/ggv012
dc.subjectInverse theory; electrical properties; electromagnetic theory
dc.titleResistivity inversion in 2-D anisotropic media: numerical experiments
dc.typeJournal article
pubs.publication-statusPublished

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