Dynamic streaming potential coupling coefficient in porous media with different pore size distributions

International audienceSeismoelectrical signals are generated by electrokinetic coupling from seismic wave propagation in saturated porous media. This process is directly related to the existence of an electric double layer at the interface between the pore fluid and minerals composing the pore walls. The seismoelectric method attracts the interest of researchers in different areas, from oil and gas reservoir characterization to hydrogeophysics, due to the sensitivity of the seismoelectrical signals to medium and fluid properties. In this work, we propose a physically-based model for the dynamic streaming potential coupling coefficient by conceptualizing a porous medium as a bundle of tortuous capillaries characterized by presenting lognormal and fractal pore size distributions (PSD). The results show that the dynamic streaming potential coupling coefficient is a complex function depending on the properties of pore fluid, mineral-pore fluid interfaces, microstructural parameters of porous media and frequency. Parameters influencing the dynamic streaming potential coupling coefficient are investigated and explained. The proposed model is then compared with published data and previous models. It is found that the approach using the lognormal distribution is in very good agreement with experimental data as well as with previous models. Conversely, the approach that uses the fractal distribution provides a good match with published data for sandstone samples but not for sand samples. This result implies that the fractal PSD may not be pertinent for the considered sand samples, which exhibit a relatively narrow distribution of pore sizes. This characteristic, in turn, suggests that the PSD of porous media significantly affects the dynamic streaming potential coupling coefficient. Our proposed approach can work for any PSD, for example, including complex ones such as double porosity or inferred from direct measurements. This makes the proposed models more versatile than models available in literature