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AGU: Geophysical Research Letters

 

Keywords

  • self-potential
  • ground water flow
  • tomography

Index Terms

  • Physical Properties of Rocks: Magnetic and electrical properties
  • Physical Properties of Rocks: Fracture and flow
  • Physical Properties of Rocks: Transport properties
  • Computational Geophysics: Numerical solutions
  • Computational Geophysics: Modeling

Abstract

GEOPHYSICAL RESEARCH LETTERS, VOL. 34, L24403, 6 PP., 2007
doi:10.1029/2007GL031907

Tomography of the Darcy velocity from self-potential measurements

A. Jardani

Department of Geophysics, Colorado School of Mines, Golden, Colorado, USA

Bureau d'Etudes Action Locale et Internationale pour la Solidarité et l'Environnement, Saint-Jacques-sur-Darnétal, France

A. Revil

Department of Geophysics, Colorado School of Mines, Golden, Colorado, USA

UMR 5559, Laboratoire de Géophysique Interne et Tectonophysique, CNRS, Institut National des Sciences de l'Univers, Chambéry, France

A. Bolève

UMR 5559, Laboratoire de Géophysique Interne et Tectonophysique, CNRS, Institut National des Sciences de l'Univers, Chambéry, France

A. Crespy

UMR 5559, Laboratoire de Géophysique Interne et Tectonophysique, CNRS, Institut National des Sciences de l'Univers, Chambéry, France

J.-P. Dupont

UMR 6143, CNRS, Département de Géologie, University of Rouen, Rouen, France

W. Barrash

Center for Geophysical Investigation of the Shallow Subsurface and Department of Geosciences, Boise State University, Boise, Idaho, USA

B. Malama

Center for Geophysical Investigation of the Shallow Subsurface and Department of Geosciences, Boise State University, Boise, Idaho, USA

An algorithm is developed to interpret self-potential (SP) data in terms of distribution of Darcy velocity of the ground water. The model is based on the proportionality existing between the streaming current density and the Darcy velocity. Because the inverse problem of current density determination from SP data is underdetermined, we use Tikhonov regularization with a smoothness constraint based on the differential Laplacian operator and a prior model. The regularization parameter is determined by the L-shape method. The distribution of the Darcy velocity depends on the localization and number of non-polarizing electrodes and information relative to the distribution of the electrical resistivity of the ground. A priori hydraulic information can be introduced in the inverse problem. This approach is tested on two synthetic cases and on real SP data resulting from infiltration of water from a ditch.

Received 1 September 2007; accepted 8 November 2007; published 21 December 2007.

Citation: Jardani, A., A. Revil, A. Bolève, A. Crespy, J.-P. Dupont, W. Barrash, and B. Malama (2007), Tomography of the Darcy velocity from self-potential measurements, Geophys. Res. Lett., 34, L24403, doi:10.1029/2007GL031907.

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