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Right arrow Infiltration

Electrical Streaming Potential Measured at the Ground Surface

Forward Modeling and Inversion Issues for Monitoring Infiltration and Characterizing the Vadose Zone

Pascal Sailhac*, Mathieu Darnet and Guy Marquis

Eacute;quipe de Proche Surface, École et Observatoire des Sciences de la Terre–Institut de Physique du Globe de Strasbourg (CNRS UMR7516) 5, rue René Descartes– F-67084 Strasbourg (FRANCE)


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Fig. 1. Plots of Russo's model of effective saturation vs. pressure head for Mualem's parameter m = 0.5 in Eq. [13] (left), and the shift in the matric flux potential caused by a non-zero background effective saturation (right). The cross is for a soil in which effective saturation before infiltration is Se0 = 0.75; The corresponding shift relative to the analytic expression of {Phi} in Eq. [11] is {Phi}0 = 0.11KS/{alpha} (for m = 0.5).

 


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Fig. 2. Cross-sections of four source strength infiltration simulations ({alpha} = 12 m–1 and Se0 = 0.6, and q/KS ranges from 1 mm to 10 cm), showing effective water saturation Se and electrokinetic potential V (mV) vs. depth (from 0 to 60 cm), and its first- and second-order horizontal derivatives at a depth of 10 cm (horizontal electric field Ex [mV cm–1] and its derivative E'x [mV cm–2]). Please note that the distributions are symmetric with respect to the x = 0 vertical plane, and that V and E'x are even and Ex is odd.

 


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Fig. 3. Plots of the electric field Ex maxima {chi} vs. q/KS. Results are for a depth of 10 cm, and for constant Gardner soil parameters {alpha} equal to 4, 8, 12, or 16 m–1 (top), and constant background effective water saturation Se0 equal to 0.6, 0.7, or 0.8 (bottom). Note that the maxima increase with increasing q/KS and {alpha}, and decrease with increasing Se0.)

 


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Fig. 4. Sensitivity of the maximum SP gradient {chi} to {alpha} (m–1), q/KS (m), and Se0.

 





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