Hydrology and Earth System Sciences www.hydrol-earth-syst-sci.net 1027-5606 1607-7938 11 5 2007 10.5194/hess-11-1661-2007 http://www.hydrol-earth-syst-sci.net/11/1661/2007/ http://www.hydrol-earth-syst-sci.net/11/1661/2007/hess-11-1661-2007.html http://www.hydrol-earth-syst-sci.net/11/1661/2007/hess-11-1661-2007.pdf 1661 1671 2007-10-16 Forward Modeling and validation of a new formulation to compute self-potential signals associated with ground water flow A. Bolève A. Revil arevil@mines.edu F. Janod J. L. Mattiuzzo A. Jardani CNRS- LGIT (UMR 5559), University of Savoie, Equipe Volcan, Chambéry, France Colorado School of Mines, Dept. of Geophysics, 1500 Illinois street, Golden, CO, 80401, USA SOBESOL, Savoie Technolac, BP 230, F-73375 Le Bourget du Lac Cedex, France CNRS, University of Rouen, Département de Géologie, Rouen, France The classical formulation of the coupled hydroelectrical flow in porous media is based on a linear formulation of two coupled constitutive equations for the electrical current density and the seepage velocity of the water phase and obeying Onsager's reciprocity. This formulation shows that the streaming current density is controlled by the gradient of the fluid pressure of the water phase and a streaming current coupling coefficient that depends on the so-called zeta potential. Recently a new formulation has been introduced in which the streaming current density is directly connected to the seepage velocity of the water phase and to the excess of electrical charge per unit pore volume in the porous material. The advantages of this formulation are numerous. First this new formulation is more intuitive not only in terms of establishing a constitutive equation for the generalized Ohm's law but also in specifying boundary conditions for the influence of the flow field upon the streaming potential. With the new formulation, the streaming potential coupling coefficient shows a decrease of its magnitude with permeability in agreement with published results. The new formulation has been extended in the inertial laminar flow regime and to unsaturated conditions with applications to the vadose zone. This formulation is suitable to model self-potential signals in the field. 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