<p>We present an analysis of the electrokinetic coupling equations developed in a previous work by the same authors, where an extension to Pride’s theory encompassing partially saturated porous rocks was derived. One of the main hypotheses of the model establishes that the non-wetting fluid phase must be connected across the averaging volume, which may not be the case near full wetting phase saturation. This constraint is removed by developing new expressions for the model parameters, such as electric conductivity and electrokinetic coupling coefficient, accounting for the disconnection of the non-wetting fluid near full saturation. We study their sensitivity to the salinity of the electrolyte and to geometric parameters, such as porosity, tortuosity, and volume-to-surface ratio of the non-wetting fluid. Moreover, we consider different sets of values of the two different zeta potentials present in the model, one of which originates at the pore-wall/wetting-fluid interface and the other at the wetting/non-wetting fluid interface. Our model predicts that the electric conductivity, the electrokinetic coupling coefficient, and the streaming potential coefficient may show either a monotonic or a non-monotonic behaviour as a function of water saturation, depending on water salinity and geometrical parameters, and they tend to the corresponding saturated values predicted by Pride when water saturation tends to one. We show that the electric conductivity model predictions are in good agreement with data sets from the literature. Further, we numerically simulate the electrokinetic coupling phenomenon during drainage experiments over a rock column. The so-obtained ratio of the electric potential difference to the water pressure variation reproduces the main features of previously published data obtained in laboratory measurements for clean rocks.</p>

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Analysis of the Electrokinetic Coupling Phenomena at Partial Saturation: Insights from an Extended Pride’s Theory

  • Leonardo B. Monachesi,
  • Fabio I. Zyserman,
  • Laurence Jouniaux,
  • Arthur H. Thompson

摘要

We present an analysis of the electrokinetic coupling equations developed in a previous work by the same authors, where an extension to Pride’s theory encompassing partially saturated porous rocks was derived. One of the main hypotheses of the model establishes that the non-wetting fluid phase must be connected across the averaging volume, which may not be the case near full wetting phase saturation. This constraint is removed by developing new expressions for the model parameters, such as electric conductivity and electrokinetic coupling coefficient, accounting for the disconnection of the non-wetting fluid near full saturation. We study their sensitivity to the salinity of the electrolyte and to geometric parameters, such as porosity, tortuosity, and volume-to-surface ratio of the non-wetting fluid. Moreover, we consider different sets of values of the two different zeta potentials present in the model, one of which originates at the pore-wall/wetting-fluid interface and the other at the wetting/non-wetting fluid interface. Our model predicts that the electric conductivity, the electrokinetic coupling coefficient, and the streaming potential coefficient may show either a monotonic or a non-monotonic behaviour as a function of water saturation, depending on water salinity and geometrical parameters, and they tend to the corresponding saturated values predicted by Pride when water saturation tends to one. We show that the electric conductivity model predictions are in good agreement with data sets from the literature. Further, we numerically simulate the electrokinetic coupling phenomenon during drainage experiments over a rock column. The so-obtained ratio of the electric potential difference to the water pressure variation reproduces the main features of previously published data obtained in laboratory measurements for clean rocks.