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How to incorporate prior information in geophysical inverse problems: deterministic and geostatistical approaches.
Hermans, Thomas; Caterina, David; Martin, Roland et al.
2011In EarthDoc - Near Surface 2011 - 17th European Meeting of Environmental and Engineering Geophysics
Peer reviewed
 

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Keywords :
Inversion; a priori information; geostatistic
Abstract :
[en] Many geophysical inverse problems are ill-posed leading to non-uniqueness of the solution. It is thus important to reduce the amount of mathematical solutions to more geologically plausible models by regularizing the inverse problem and incorporating all available prior information in the inversion process. We compare three different ways to go beyond standard Occam’s inversion for electrical resistivity tomography (ERT) using electromagnetic logging data in the context of salt water infiltration: a simple reference model, a structural constraint and a geostatistical constraint based on a vertical correlation length. Results with the traditional smoothness constraint yield small contrasts of resistivity, far from the reality revealed by borehole measurements. Incorporating prior information from boreholes clearly improves the misfit with logging data. If a good reference model can always be used, it can lead to misinterpretation if its weight is too strong. When the computation of the correlation length is possible, the geostatistical inversion gives satisfactory results everywhere in the section. In this specific case, the geostatistical approach seems to be a more robust way to incorporate prior information. The structural constraint seems to be more indicated when integrating information from other geophysical methods such as GPR or seismic.
Research center :
Université de Liège - Département ArGEnCo - GEO³ - Geophysique Appliquée
Disciplines :
Geological, petroleum & mining engineering
Author, co-author :
Hermans, Thomas ;  Université de Liège - ULiège > Département Argenco : Secteur GEO3 > Géophysique appliquée
Caterina, David  ;  Université de Liège - ULiège > Département Argenco : Secteur GEO3 > Géophysique appliquée
Martin, Roland;  University of Bonn
Kemna, Andreas;  University of Bonn
Robert, Tanguy ;  Université de Liège - ULiège > Département Argenco : Secteur GEO3 > Géophysique appliquée
Nguyen, Frédéric ;  Université de Liège - ULiège > Département Argenco : Secteur GEO3 > Géophysique appliquée
Language :
English
Title :
How to incorporate prior information in geophysical inverse problems: deterministic and geostatistical approaches.
Alternative titles :
[fr] Comment incorporer de l'information a priori dans les problèmes géophysiques inverses : approches déterministes et géostatistiques
Publication date :
13 September 2011
Event name :
Near Surface 2011 - 17th European Meeting of Environmental and Engineering Geophysics
Event organizer :
EAGE - European Association of Geoscientists & Engineers
Event place :
Leicester, United Kingdom
Event date :
de 12 septembre au 14 septembre 2011
Audience :
International
Main work title :
EarthDoc - Near Surface 2011 - 17th European Meeting of Environmental and Engineering Geophysics
Peer reviewed :
Peer reviewed
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
Commentary :
EarthDoc is an online publication of EAGE.
Available on ORBi :
since 16 September 2011

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