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.

中文翻译：

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孔隙粘弹性各向异性模型与Cole'ole凹陷模型相结合的地震电波传播模拟


考虑到复杂地质介质的粘弹性各向异性和电凹陷特性，我们引入广义标准线性固体（GSLS）模型来描述固体骨架的弛豫效应，并引入Cole-Cole模型来描述电导率的频率依赖性。建立了多孔粘弹性各向异性介质的震电模型，推导了相应的时域波动方程和扩散方程。然后，我们用均匀模型、两层模型和凹陷层状模型分析了粘弹性横观各向同性（TI）介质中地震电波场的特征。结果表明，TI各向异性、流体粘度和倾斜角均对均匀模型中地震电波的传播有显着影响。两层模型中地震电波的强烈衰减表明了我们的方法中使用的松弛骨架和频率相关电导率的有效性，这也可以有效地捕获地震和相关电磁（EM）场中的反射和传输现象。抑郁症的分层模型。