Lithologic tomography: an application to geophysical data from the Cadomian belt of northern Brittany, France

Bosch, Miguel; Guillén, A.; Ledru, Patrick

doi:10.1016/s0040-1951(00)00243-2

Cited by 53 publications

(29 citation statements)

References 18 publications

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“…We used a statistical formulation of the inverse problem (Guillen et al 2000(Guillen et al , 2008Bosch et al 2001). This inversion scheme is particularly adapted to refine existing models since a realistic and topologically consistent starting model is needed in order to achieve a meaningful convergence of the inversion process.…”

Section: Gravity Inversionmentioning

confidence: 99%

Gravity inversion, AMS and geochronological investigations of syntectonic granitic plutons in the southern part of the Variscan French Massif Central

Joly

Faure

Martelet

et al. 2009

Journal of Structural Geology

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Section: Gravity Inversionmentioning

confidence: 99%

Gravity inversion, AMS and geochronological investigations of syntectonic granitic plutons in the southern part of the Variscan French Massif Central

Joly

Faure

Martelet

et al. 2009

Journal of Structural Geology

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“…This is caused by our assumptions about the statistical model that Fe(II) and Fe(III) concentrations are spatially independent given the colocated GPR and lithofacies data. The model can be improved using a more complex method, such as the one used by Bosch et al [2001] in estimation of lithological structure from geophysical gravity and magnetic data.…”

Section: Fe(ii) and Fe(iii) Estimationmentioning

confidence: 99%

Geochemical characterization using geophysical data and Markov Chain Monte Carlo methods: A case study at the South Oyster bacterial transport site in Virginia

Chen

Hubbard

Rubin

et al. 2004

Water Resources Research

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[1] The study demonstrates the use of ground-penetrating radar (GPR) tomographic data for estimating sediment geochemical parameters using data collected at the Department of Energy South Oyster bacterial transport site in Virginia. By exploiting the site-specific mutual dependence of GPR attenuation and extractable Fe(II) and Fe(III) concentrations on lithofacies, we develop a statistical model in which lithofacies and Fe(II) and Fe(III) concentrations at each pixel between the boreholes are considered as random variables. The unknown variables are estimated by conditioning to the colocated GPR data and the lithofacies measurements along boreholes using a Markov Chain Monte Carlo method. Cross-validation results show that the geophysical data, constrained by lithofacies, have the potential for providing high-resolution, multidimensional information on extractable Fe(II) and Fe(III) concentrations at the South Oyster site.

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“…The importance of facies has been recognized in the literature for the inversion of combined hydrogeologic and geophysical data (e.g., Cardiff and Kitadinis, 2009) and the inversion of various geophysical data sets (Bosch, 1999;Bosch et al, 2001Bosch et al, , 2004Guillen et al, 2008;Grana et al, 2012). The goal of our paper is to present a combined approach using a facies approach and a petrophysical clustering approach.…”

Section: Introductionmentioning

confidence: 99%

2D joint inversion of geophysical data using petrophysical clustering and facies deformation

Zhang

Revil

2015

GEOPHYSICS

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Geologic expertise and petrophysical relationships can be brought together to provide prior information while inverting multiple geophysical data sets. The merging of such information can result in more realistic solution in the distribution of the model parameters. We have evaluated the geophysical inverse problem in terms of Gaussian random fields with mean functions controlled by petrophysical relationships and covariance functions controlled by a prior geologic cross section, including the definition of spatial boundaries for the geologic facies. The petrophysical relationship problem is formulated as a regression problem upon each facies. The inversion of the geophysical data is performed in a Bayesian framework. We have developed the usefulness of this strategy using a first synthetic case for which we have performed a joint inversion of gravity and galvanometric resistivity data with the stations located at the ground surface. The joint inversion was used to recover the density and resistivity distributions of the subsurface. In a second step, we considered the possibility that the facies boundaries were deformable and their shapes were inverted as well. We used the level-set approach to perform such deformation preserving a priori topological properties of the facies throughout the inversion. With the help of a priori facies petrophysical relationships and the topological characteristics of each facies, we made a posteriori inference about multiple geophysical tomograms based on their corresponding geophysical data misfits. We have applied this method to a second synthetic case showing that we can recover the heterogeneities inside the facies, the mean values for the petrophysical properties, and, to some extent, the facies boundaries using the 2D joint inversion of gravity and galvanometric resistivity data.

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Lithologic tomography: an application to geophysical data from the Cadomian belt of northern Brittany, France

Cited by 53 publications

References 18 publications

Gravity inversion, AMS and geochronological investigations of syntectonic granitic plutons in the southern part of the Variscan French Massif Central

Gravity inversion, AMS and geochronological investigations of syntectonic granitic plutons in the southern part of the Variscan French Massif Central

Geochemical characterization using geophysical data and Markov Chain Monte Carlo methods: A case study at the South Oyster bacterial transport site in Virginia

2D joint inversion of geophysical data using petrophysical clustering and facies deformation

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