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Tomography of the Darcy Velocity from Self-Potential Measurements
Geophysical Research Letters
  • A. Jardani, Colorado School of Mines
  • A. Revil, Colorado School of Mines
  • A. Bolève, Institut National des Sciences de l'Univers
  • A. Crespy, Institut National des Sciences de l'Univers
  • J.-P. Dupont, University of Rouen
  • Warren Barrash, Boise State University
  • Bwalya Malama, Boise State University
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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.
Copyright Statement

Copyright 2007 by the American Geophysical Union. DOI: 10.1029/2007GL031907

Citation Information
A. Jardani, A. Revil, A. Bolève, A. Crespy, et al.. "Tomography of the Darcy Velocity from Self-Potential Measurements" Geophysical Research Letters (2007)
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