A Comparison Between Potapof's and Pride's Equations for Seismoelectric Waves

Abstract

AbstractPotapof's equations for the first and the second types of seismoelectric effects are analyzed. The first type of seismoelectric effect refers to elastic wave induced conductivity change. When no macroscopic static electric field exists, Potapof's equations reduced to equations for the second type of seismoelectric effect, which is also described by Pride's equations. Comparison is made between these two sets of equations. When ignoring the coupling between elastic and electromagnetic field, both the Pride's and the Potapof's equations reduce to equations for poroelasticity. The elastodynamical parameters in Potapof's equations are explained with well‐known parameters in Biot's theory for elastic waves. By comparison to Biot theory, it is clear that in Potapof's equations the mass coupling between fluid and solid frame is ignored. The square of porosity is erroneously taken as porosity in the viscous damping term, which may lead to exaggerated amplitudes of the elastic wave and its converted electric wave. And there is an error in the boundary condition about fluid filtration across the interface, which influence the study on the behavior of reflection and refraction of the seismoelectric waves on boundaries.