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Bayesian ERT inversion using non-stationary inverse Matérn covariance matrix.

Bouchedda, Abderrezak; Giroux, Bernard; Gloaguen, Erwan (2015). Bayesian ERT inversion using non-stationary inverse Matérn covariance matrix. In: SEG Technical Program Expanded Abstracts 2015. SEG, Tulsa, p. 2246-2251.

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Résumé

It is well known that the statistical properties of resistivity within the Earth are generally non-stationary due to spatial variations of parameters that control the bulk resistivity of rocks, such as water resistivity, water content, porosity, temperature, etc. Hence, it may be advantageous to take into account the non-stationary nature the parameters when defining the covariance model for Bayesian electrical resistivity tomography (ERT) inversion. In this paper, we propose to use recent work on non-stationary Matérn covariance family that is defined through linear stochastic partial differential equations (SPDE). The non-stationary precision matrix is obtained without calculating the inverse of the covariance matrix, and non-stationarity is easily implemented by spatially varying SPDE parameters. Two types of prior information are considered to take into account the non-stationarity of resistivity field, structure orientation and measurement sensitivity. The proposed approach was successfully tested on two synthetic models.

Type de document: Chapitre de livres
Mots-clés libres: electrical/resistivity; 2D; inversion
Centre: Centre Eau Terre Environnement
Date de dépôt: 08 mai 2018 17:55
Dernière modification: 08 mai 2018 17:55
URI: http://espace.inrs.ca/id/eprint/3810

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