In this study, we deal with the inversion of frequency-domain electromagnetic data collected with devices with different configurations (varying inter-coil spacing, frequency, height from the ground). More specifically, we present the results of the application of a Gauss-Newton inversion algorithm based on a non-linear forward model onto several synthetic resistivity and magnetic permeability vertical profiles. In addition, we shortly discuss the inclusion into this inversion scheme of a quite novel stabilizing term, based on minimum (gradient) support, and promoting sparse reconstructions. We demonstrate the effectiveness of this sparse inversion algorithm on synthetic and real datasets.

Smooth and sparse inversion of EMI data from multi-configuration measurements

Gian Piero Deidda;Patricia Díaz De Alba;Giuseppe Rodriguez
;
Giulio Vignoli.
2018

Abstract

In this study, we deal with the inversion of frequency-domain electromagnetic data collected with devices with different configurations (varying inter-coil spacing, frequency, height from the ground). More specifically, we present the results of the application of a Gauss-Newton inversion algorithm based on a non-linear forward model onto several synthetic resistivity and magnetic permeability vertical profiles. In addition, we shortly discuss the inclusion into this inversion scheme of a quite novel stabilizing term, based on minimum (gradient) support, and promoting sparse reconstructions. We demonstrate the effectiveness of this sparse inversion algorithm on synthetic and real datasets.
978-1-5386-6282-3
Nonlinear inverse problems; Electromagnetic induction; Regularization; Gauss-Newton method; Minimum support stabilizer
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11584/252494
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