Seismoelectric Wave Propagation Simulation by Combining Poro-Viscoelastic Anisotropic Model With Cole–Cole Depression Model

Considering the viscoelastic anisotropy and electrical depression characteristics of the complex geological media, we introduce the generalized standard linear solid (GSLS) model to describe the relaxation effect of the solid skeleton and the Cole–Cole model to describe the frequency dependence of electric conductivity. The seismoelectric model of the poro-viscoelastic anisotropic medium was constructed, and the corresponding wave and diffusion equations in the time domain were derived. We then analyze the characteristics of seismoelectric wavefields in viscoelastic transversely isotropic (TI) media with a homogenous model, a two-layer model, and a layered model with depression. Results show that the TI anisotropy, viscosity of fluid, and tilt angle all have significant effects on the propagation of seismoelectric waves in the homogenous model. The strong attenuation of seismoelectric waves in the two-layer model shows the validity of the relaxed skeleton and frequency-dependent conductivity used in our approach, which could also effectively capture the reflection and transmission phenomena in the seismic and associated electromagnetic (EM) fields in the layered model with depression.