Inversion of MT profiles using laterally coupled 1D piecewise continuous models

Hugo Hidalgo Silva; Enrique Gomez-Trevino; Jose Luis Marroquin Zaleta

doi:10.1117/12.323294

1 October 1998 Inversion of MT profiles using laterally coupled 1D piecewise continuous models

Hugo Hidalgo Silva, Enrique Gomez-Trevino, Jose Luis Marroquin Zaleta

Proceedings Volume 3453, Mathematical Methods in Geophysical Imaging V; (1998) https://doi.org/10.1117/12.323294
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1998, San Diego, CA, United States

Abstract

This paper presents a method for constructing coupled, 1D electrical conductivity models of the Earth from surface magnetotelluric measurements. The construction of the individual models is a nonlinear inverse problem that can be approached by linearization techniques combined with iterative methods and Tikhonov's regularization. The standard application of these techniques usually leads to smooth models that represent a continuous variation of conductivity with depth. In a previous work we described how these methods can be modified to incorporate what is known in Computer Vision as the line process (LP) decoupling technique, which has the ability to include discontinuities in the models. This results in piecewise smooth models which are often more adequate for representing stratified media. Now, the 1D models are coupled in order to include information from neighboring sites. We have implemented a relaxation technique to construct 2D profiles using coupled 1D models. We present numerical experiments and application to field data. In both cases we assume that the data is contaminated by static shift effects. The algorithm automatically takes these effects into account. The examples illustrate the performance of the combined LP and Tikhonov's regularization method in the solution of difficult practical problems.

Citation Download Citation

Hugo Hidalgo Silva, Enrique Gomez-Trevino, and Jose Luis Marroquin Zaleta "Inversion of MT profiles using laterally coupled 1D piecewise continuous models", Proc. SPIE 3453, Mathematical Methods in Geophysical Imaging V, (1 October 1998); https://doi.org/10.1117/12.323294

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