Main error factors, affecting inversion of EM data
Abstract
Inversions of EM data are complicated by a number of factors that need to be taken into account. These factors might contribute by tens of percents in data values, concealing responses from target objects, which usually contribute at the level of few percents only. We developed the exact analytical solutions of the EM wave equations that properly incorporate the contributions of the following effects: 1) A finite source size effect, where conventional dipole (zero-size) approximation brings 10-40% error compare to a real size source, needed to provide adequate signal-to-noise ratio. 2) Complex topography. A three-parametrical approach allows to keep the data misfits in 0.5% corridor while topography effect might be up to 40%. 3) Grounding shadow effect, caused by return ground currents, when Tx-line vicinity is horizontally non-uniform. By keeping survey setup within some reasonable geometrical ratios, the shadow effect comes to just one frequency-independent coefficient, which can be excluded from processing by using logarithmical derivatives. 4) Layer's wide spectral range effect. This brings to multi-layer spectral overlapping, so each frequency is affected by many layers; that requires wide spectral range processing, making the typical 'few-frequency data acquisition' non-reliable. 5) Horizontal sensitivity effect. The typical view at the target signal, reflected from a Tx-Rx mid-point is valid only for a ray approximation, reliable in a far-field zone. Unlike this, the real EM surveys usually work in near-field zone. Thus Tx-Rx mid-point does not represent the layer, so a sensitivity distribution function must be computed for each layer for the following 3D-unification process. 6) Wide range Rx-directions from mid-line Tx. Survey terrain often prevents placing Rx perpendicular to Tx-line, and even small deviations without proper corrections cause a significant inaccuracy. A radical simplification of the effect's description becomes possible after applying a special Angular Theorem. 7) Apparent conductivity spectral splitting factor. For some of the inversion approaches an averaged Earth's conductivity σA(ω) is the first step for the inversion to stratified Earth. The related spectral response from the loop-source splits such σA onto two branches: σA(ωHigh) and σA(ωLow), similar to early and late resistivities in time domain processing. 8) Calibration factor. A manufacturer-based internal calibration often leads to many percents of non-controllable systematic error at low and high frequency ends, as well as temperature changes. A special approach allows an external pre-survey calibration to achieve the required accuracy.
- Publication:
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AGU Fall Meeting Abstracts
- Pub Date:
- December 2013
- Bibcode:
- 2013AGUFM.T51A2451Z
- Keywords:
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- 3260 MATHEMATICAL GEOPHYSICS Inverse theory