Abstract
This work presents a method to find rock conductivities in a zone from electromagnetic measurements on the surface of the earth. It uses a stochastic algorithm to find a Bayesian estimator of the conductivities. The algorithm is tested on a synthetic model made up of an heteregeneous thin sheet inbedded in a stratified substratum.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Backus, G. E. (1988). Bayesian inference in geomagnetism. Geophysical Journal, 92, 125–142.
Barthes, V. and Vasseur, G. (1980). An inverse problem for electromagnetic prospection.
Counil, J.L., Le Mouel, J.L. and Menvielle, M. (1986). Associate and conjugate direction concepts in magnetotellurics. Annales Geophysicae, 4, B, 115–130.
Eggers, D.E. (1982). An eigenstate formulation of the magnetotelluric impedance tensor. Geophysics, 47, 1204–1214.
Geman, S. and Geman, D. (1984). Stochastic relaxation, Gibbs distribution, and the Bayesian restoration of images. IEEE Trans. Pattern Analysis and Machine Intelligence, 6, 721–741.
Gibert, D. and Vineux, J. (1991). Electromagnetic imaging and simulated annealing. J. Geophys. Res., 96, 8057–8067.
Kirkpatrick, S. (1984). Optimisation by simulated annealing: quantitative studies. J. Stat. Phys., 34, 975–986.
La Torraca, G.A., Madden, T.R. and Kor inga, J. (1986). An analysis of the magnetotelluric impedance tensor for three-dimensional conductivity structures. Geophysics, 51, 1819–1829.
Mackie, R.L., Bennett, B.R., Madden, T.R. (1988). Long period magnetotellutic measurements near the central California coast: a land-locked view of the conductivity structure under the Pacific ocean. Geophys. J. Royal Astr. Soc., 95, 181–194.
Mareschal, M. and Vasseur, G. (1984). Bimodal induction in non-uniform thin sheets: do the present algorithms work for regional studies. J. Geophys., 55, 203–213.
Morse, P. M., Feshback, H. (1953). Methods of theoritical physics. Mc Graw-Hill New York. Press, S.J. (1989). Bayesian statistics: principle, models ans applications. John Wiley sons. Tarantola, A. ( 1987 ). Inverse problem theory. Elsevier Science Publishers B. V..
Tarits, P., Jouanne, V., Menvielle, M., Roussignol, M. (1991). Bayesian statistics in geophysics: example of the magnetotelluric 1-d inverse problem. submitted to J. Geophys..
Vasseur, G. and Weidelt, P. (1977). Bimodal electromagnetic induction in non-uniform thin sheets with an application to thrnothem Pyrenean induction anomaly. Geophys. J. R. astr. Soc., 51, 669–690.
Weidelt, P. (1975). Electromagnetic induction in three-dimensional structures. J. Geophys., 41, 85–109.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Roussignol, M., Jouanne, V., Menvielle, M., Tarits, P. (1993). Bayesian Electromagnetic Imaging. In: Härdle, W., Simar, L. (eds) Computer Intensive Methods in Statistics. Statistics and Computing. Physica, Heidelberg. https://doi.org/10.1007/978-3-642-52468-4_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-52468-4_6
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-0677-9
Online ISBN: 978-3-642-52468-4
eBook Packages: Springer Book Archive