How to incorporate prior information in geophysical inverse problems : deterministic and geostatistical approaches
- Author
- Thomas Hermans (UGent) , D Caterina, R Martin, A Kemna, T Robert and F Nguyen
- Organization
- Abstract
- 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.
Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8539862
- MLA
- Hermans, Thomas, et al. “How to Incorporate Prior Information in Geophysical Inverse Problems : Deterministic and Geostatistical Approaches.” Near Surface 2011 : 17th European Meeting of Environmental and Engineering Geophysics, EAGE, 2011, doi:10.3997/2214-4609.20144397.
- APA
- Hermans, T., Caterina, D., Martin, R., Kemna, A., Robert, T., & Nguyen, F. (2011). How to incorporate prior information in geophysical inverse problems : deterministic and geostatistical approaches. Near Surface 2011 : 17th European Meeting of Environmental and Engineering Geophysics. Presented at the 17th European meeting of Environmental and Engineering Geophysics, Leicester, UK. https://doi.org/10.3997/2214-4609.20144397
- Chicago author-date
- Hermans, Thomas, D Caterina, R Martin, A Kemna, T Robert, and F Nguyen. 2011. “How to Incorporate Prior Information in Geophysical Inverse Problems : Deterministic and Geostatistical Approaches.” In Near Surface 2011 : 17th European Meeting of Environmental and Engineering Geophysics. EAGE. https://doi.org/10.3997/2214-4609.20144397.
- Chicago author-date (all authors)
- Hermans, Thomas, D Caterina, R Martin, A Kemna, T Robert, and F Nguyen. 2011. “How to Incorporate Prior Information in Geophysical Inverse Problems : Deterministic and Geostatistical Approaches.” In Near Surface 2011 : 17th European Meeting of Environmental and Engineering Geophysics. EAGE. doi:10.3997/2214-4609.20144397.
- Vancouver
- 1.Hermans T, Caterina D, Martin R, Kemna A, Robert T, Nguyen F. How to incorporate prior information in geophysical inverse problems : deterministic and geostatistical approaches. In: Near Surface 2011 : 17th European meeting of Environmental and Engineering Geophysics. EAGE; 2011.
- IEEE
- [1]T. Hermans, D. Caterina, R. Martin, A. Kemna, T. Robert, and F. Nguyen, “How to incorporate prior information in geophysical inverse problems : deterministic and geostatistical approaches,” in Near Surface 2011 : 17th European meeting of Environmental and Engineering Geophysics, Leicester, UK, 2011.
@inproceedings{8539862,
abstract = {{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.}},
author = {{Hermans, Thomas and Caterina, D and Martin, R and Kemna, A and Robert, T and Nguyen, F}},
booktitle = {{Near Surface 2011 : 17th European meeting of Environmental and Engineering Geophysics}},
language = {{eng}},
location = {{Leicester, UK}},
pages = {{4}},
publisher = {{EAGE}},
title = {{How to incorporate prior information in geophysical inverse problems : deterministic and geostatistical approaches}},
url = {{http://doi.org/10.3997/2214-4609.20144397}},
year = {{2011}},
}
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