Research of seismic attenuation and seismoelectric effect by the finite-difference method in frequency domain

The seismoelectric effect will occur because of the mesoscopic wave-induced fluid flow with the propagation of seismic wave in the saturated rocks. Utilizing the Biot's equations in the porous medium, we calculate the attenuation and seismoelectric effect of the patchy saturated model by the finite-difference method in frequency domain. Comparing with the method in time domain, the result of any frequency can be easily and directly obtained and there is no need to discuss the stress source function and time stability of numerical scheme for the method we propose in this paper. We test and verify the accuracy of the method presented in the context by the model of porous layers alternately saturated with different porosity. And then the amplitude and phase angles of electrical potential for the White's model are obtained. The results show that the magnitude of seismoelectric signals induced by mesoscopic wave-induced fluid flow can be measurable for the laboratory setups. And then the numerical results of seismic attenuation and seismoelectric effect are calculated for four kinds of cases of the models containing different proportions of high permeability media. Finally, the seismic attenuation and dispersion and the amplitude and phase angles of electrical potential for 2D patchy saturated model are calculated using the method we propose in this paper.