dorsal/arxiv
View SchemaFocusing inversion techniques applied to electrical resistance tomography in an experimental tank
| Authors | G. Pagliara, G. Vignoli |
|---|---|
| Categories | |
| ArXiv ID | physics/0606234 |
| URL | https://arxiv.org/abs/physics/0606234 |
Abstract
We present an algorithm for focusing inversion of electrical resistivity tomography (ERT) data. ERT is a typical example of ill-posed problem. Regularization is the most common way to face this kind of problems; it basically consists in using a priori information about targets to reduce the ambiguity and the instability of the solution. By using the minimum gradient support (MGS) stabilizing functional, we introduce the following geometrical prior information in the reconstruction process: anomalies have sharp boundaries. The presented work is embedded in a project (L.A.R.A.) which aims at the estimation of hydrogeological properties from geophysical investigations. L.A.R.A. facilities include a simulation tank (4 m x 8 m x 1.35 m); 160 electrodes are located all around the tank and used for 3-D ERT. Because of the large number of electrodes and their dimensions, it is important to model their effect in order to correctly evaluate the electrical system response. The forward modelling in the presented algorithm is based on the so-called complete electrode model that takes into account the presence of the electrodes and their contact impedances. In this paper, we compare the results obtained with different regularizing functionals applied on a synthetic model.
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"abstract": "We present an algorithm for focusing inversion of electrical resistivity\ntomography (ERT) data. ERT is a typical example of ill-posed problem.\nRegularization is the most common way to face this kind of problems; it\nbasically consists in using a priori information about targets to reduce the\nambiguity and the instability of the solution. By using the minimum gradient\nsupport (MGS) stabilizing functional, we introduce the following geometrical\nprior information in the reconstruction process: anomalies have sharp\nboundaries. The presented work is embedded in a project (L.A.R.A.) which aims\nat the estimation of hydrogeological properties from geophysical\ninvestigations. L.A.R.A. facilities include a simulation tank (4 m x 8 m x 1.35\nm); 160 electrodes are located all around the tank and used for 3-D ERT.\nBecause of the large number of electrodes and their dimensions, it is important\nto model their effect in order to correctly evaluate the electrical system\nresponse. The forward modelling in the presented algorithm is based on the\nso-called complete electrode model that takes into account the presence of the\nelectrodes and their contact impedances. In this paper, we compare the results\nobtained with different regularizing functionals applied on a synthetic model.",
"arxiv_id": "physics/0606234",
"authors": [
"G. Pagliara",
"G. Vignoli"
],
"categories": [
"physics.geo-ph"
],
"title": "Focusing inversion techniques applied to electrical resistance tomography in an experimental tank",
"url": "https://arxiv.org/abs/physics/0606234"
},
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