An algorithm for 3D modelling of direct current resistivity and full-response time-domain induced polarization data

L.M. Madsen, G. Fiandaca, E. Auken

Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingspeer-review

Abstract

We present a flexible algorithm for modelling of 3D direct current (DC) resistivity and time-domain induced polarization (IP) data. A structured model mesh allows easy implantation of constrains, whereas the finite-element forward algorithm is based on unstructured tetrahedral meshes and therefore handles both topography, arbitrary shaped boundaries and local refinement. This, together with modelling of the secondary potential field for singularity removal around the sources, ensures high accuracy. Electrodes may be placed on the boundaries or arbitrarily in the subsurface thus allowing both surface and cross-borehole applications. The forward response is computed in frequency-domain and then transformed to time-domain using the Hankel Transform, taking into account the current waveform and system filters for a quantitative IP modelling of either full-decay IP responses or integral chargeability allowing the IP phenomenon to be parameterised using any IP parameterization. An accuracy test of the forward response shows the advantages of the singularity removal (computing primary and secondary potential fields separately) as it decreases the relative deviation to the analytic solution significantly compared to computing the total field.

Original languageEnglish
Title of host publication33rd Symposium on the Application of Geophysics to Engineering and Environmental Problems, SAGEEP 2021
PublisherEnvironmental and Engineering Geophysical Society
Pages49-53
Number of pages5
ISBN (Electronic)9781713828174
DOIs
Publication statusPublished - 2021
Externally publishedYes
Event33rd Symposium on the Application of Geophysics to Engineering and Environmental Problems, SAGEEP 2021 - Denver, United States
Duration: 14 Mar 202119 Mar 2021

Publication series

NameProceedings of the Symposium on the Application of Geophyics to Engineering and Environmental Problems, SAGEEP
PublisherEnvironmental & Engineering Geophysical Society
Volume2021
ISSN (Electronic)1554-8015

Conference

Conference33rd Symposium on the Application of Geophysics to Engineering and Environmental Problems, SAGEEP 2021
Country/TerritoryUnited States
CityDenver
Period14/03/2119/03/21

Programme Area

  • Programme Area 2: Water Resources

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