tailieunhanh - Examination of the fractal model for streaming potential coefficient in porous media

In this work, the fractal model for the streaming potential coefficient in porous media recently published has been examined by calculating the zeta potential from the measured streaming potential coefficient. Obtained values of the zeta potential are then compared with experimental data. | VNU Journal of Science: Mathematics – Physics, Vol. 35, No. 1 (2019) 29-40 Original article Examination of the Fractal Model for Streaming Potential Coefficient in Porous Media Luong Duy Thanh* Thuy Loi University, 175 Tay Son, Dong Da, Hanoi, Vietnam Received 26 September 2018 Revised 26 October 2018; Accepted 17 December 2018 Abstract: In this work, the fractal model for the streaming potential coefficient in porous media recently published has been examined by calculating the zeta potential from the measured streaming potential coefficient. Obtained values of the zeta potential are then compared with experimental data. Additionally, the variation of the streaming potential coefficient with fluid electrical conductivity is predicted from the model. The results show that the model predictions are in good agreement with the experimental data available in literature. The comparison between the proposed model and the Helmholtz-Smoluchowski (HS) equation is also carried out. It is seen that the prediction from the proposed model is quite close to what is expected from the HS equation, in particularly at the high fluid conductivity or large grain diameters. Therefore, the model can be an alternative approach to obtain the zeta potential from the streaming potential measurements. Keywords: Streaming potential, zeta potential, fractal, porous media. 1. Introduction Streaming potential measurements play an important role in geophysical applications. For example, the streaming potential coefficient for various rock samples is one of the important factors in the evaluation of seismoelectric well logging [., 1, 2]. The streaming potential coefficient is also an important parameter in numerical simulations of seismoelectric exploration [., 3, 4] and seismoelectric well logging [., 5]. Streaming potential could be used to map subsurface flow and detect subsurface flow patterns in oil reservoirs [., 6, 7], geothermal areas and volcanoes [., 8, 9], detection