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Approximate three-dimensional resistivity modelling using fourier analysis of layer resistivity in shallow soil studies

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  • S. Buvat, UPMC/CNRS
  • ,
  • C. Schamper, Danmark
  • A. Tabbagh, UPMC/CNRS
The approximate forward modelling method using Fourier analysis has been used in 2-D applications for several decades. It involves decomposition of the terrain parameters, either the resistivity or the layer thickness, into a Fourier series expansion to simplify the problem to that of a 1-D situation. In this study, the Fourier analysis is applied to 3-D forward modelling for the purposes of shallow DC resistivity imaging with pole-pole array. Our work is to assess advantages and drawbacks of the simplified approach by comparing to exact 3-D solutions, method of moments (MoM) and surface integrals and to the Born approximation applied to MoM. While the Fourier analysis method offers very short calculation times, it shows a significant, albeit systematic, reduction of the anomaly amplitudes; and its ability to delineate anomaly sources is lower than the other methods. Nevertheless, its rapidity makes it an interesting first approach in the modelling of DC resistivity results.
TidsskriftGeophysical Journal International
Sider (fra-til)158-169
Antal sider12
StatusUdgivet - 1 jul. 2013

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