Bayesian method of inversion and a new strategy of inference on parameter estimation – An application on MT data

G. Roy; Mrinal K. Sen; A. John; G. Katherine

doi:10.1071/ASEG2003ab150

ISSN: 2202-0586
E-ISSN:

oa Bayesian method of inversion and a new strategy of inference on parameter estimation – An application on MT data
Authors G. Roy^a, Mrinal K. Sen^a, A. John^b and G. Katherine^c
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^a Institute for Geophysics, ^b School of Geosciences, ^c The University of Texas at Austin,, TX 78759, .
Publisher: Australian Society of Exploration Geophysicists
Source: ASEG Extended Abstracts, Volume 2003, Issue ASEG2003 - 16th Geophysical Conference, Aug 2003, p. 1 - 5
DOI: https://doi.org/10.1071/ASEG2003ab150
- Published online: 01 Aug 2003

Abstract

We describe a new interpretation technique in geophysical inversion that uses Box-Jenkins schema for model selection using Bayesian paradigm while model parameters are estimated using maximum a posteriori estimation procedure. We employ a regularized Gauss-Newton iterative optimization technique for selecting model parameters. Model discrimination and parameter appraisal have also been realized in the Bayesian framework. The model adequacy is tested using Bayesian information criterion (BIC) and logarithmic evidence criterion (LEC). The method is demonstrated with an application to field data.

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2003-08-01

2026-01-23

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References

Backus, G., and Gilbert, F., 1967, Numerical applications of a formalism for geophysical inverse problems, Geophys. J.R. Astr. Soc., 13, 247-276
Box, G. E. P. and Jenkins, G., 1976, Time series analysis, Prentice Hall, New Jersey
Constable, S. C., Parker, R. L., and Constable, C. G., 1987, Occam’s inversion: a practical algorithm for generating smooth models from electromagnetic sounding data, Geophysics, 52, 289-300.
Jackson, D. D., 1972, Interpretation of inaccurate, insufficient and inconsistent data, Geophy. J. Roy. Astr. Soc., 28, 97-110.
MacKay, D.J.C., 1992, Bayesian interpolation, Neural Computation, 4, 415-447.
Sen, M. K., and Stoffa, P. L., 1995, Global Optimization methods in geophysical inversion, Elsevier Science Publications, The Netherlands.
Thodberg, H. H., 1996, A review of Bayesian newural networks with an application to near infrared spectroscopy, IEEE Trans. Neur. Net., 7, 56-72.

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Article Type: Research Article

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