Bayesian inversion with Markov chains-II. The one-dimensional DC multilayer case

Details Bayesian inversion with Markov chains-II. The one-dimensional DC multilayer case Bayesian inversion with Markov chains-II. The one-dimensional DC multilayer case

Sep 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999geoji.138..769s&link_type=abstract

Geophysical Journal International, Volume 138, Issue 3, pp. 769-783.

Astronomy and Astrophysics

Astronomy

2

Electrical Resistivity, Inversion, Layered Media, Monte Carlo Markov Chain

Scientific paper

In this paper, we will report on the application of Bayesian inference to DC resistivity inversion for 1-D multilayer models. The posterior probability distribution is explored through a Markov process based upon a Gibbs's sampler. The process would lead to unrealistic estimates without additional prior information, which takes the form of a second Markov chain where the transition kernel corresponds to a smoothness constraint. The outcomes are posterior marginal probabilites for each parameter, as well as, if required, joint probabilities for pairs of parameters. We will discuss the main properties of the method in the light of a theoretical example and illustrate its capabilities with some field examples taken from various contexts.

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