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Tikhonov Regularization of Electrical Conductivity Depth Profiles in Field Soils

Dep. of Mathematics, New Mexico Tech, Socorro, NM 87801

Tom Uram

Montgomery Watson, Lake Worth, FL

Jan M. H. Hendrickx

Hydrology Program and Geophysical Research Center, New Mexico Tech, Socorro, NM 87801

*Corresponding author (janmhhendrickx{at}hotmail.com).

ABSTRACT

Electromagneetic induction is an established, noninvasive technique for measuring the apparent electrical conductivity of soils and contaminants in soils and aquifers. Nevertheless, the noninvasive determination of electrical conductivity depth profiles using only aboveground electromagnetic induction measurements remains difficult since it involves ill-posed inverse problems. Tikhonov regularization is an established technique for the solution of ill-posed linear inverse problems. We used Tikhonov regularization for estimating the electrical conductivity depth profile of the soil from aboveground electromagnetic induction measurements. Results from the inversion of sets of Geonics EM-38 measurements are reported. It was found that this technique is superior to other inverse techniques previously reported in the literature.

Received for publication April 15, 1996.

This article has been cited by other articles:

				J. M. H. Hendrickx, B. Borchers, D. L. Corwin, S. M. Lesch, A. C. Hilgendorf, and J. Schlue Inversion of Soil Conductivity Profiles from Electromagnetic Induction Measurements: Theory and Experimental Verification Soil Sci. Soc. Am. J., May 1, 2002; 66(3): 673 - 685. [Abstract] [Full Text] [PDF]