Finite-difference modeling of the electroseismic logging in a fluid-saturated porous formation

Finite element modeling of SHTE and PSVTM electroseismics

“…As such, the flow driven electric current L(− ∇ p f + ω 2 ρ f u s ) is very small compared to the conduction current σE, and can be neglected in Maxwell's equations. The same assumption was made by Guan and Hu (2008) when studying the acoustic response induced by an applied electric dipole, and the obtained numerical results backing it can be found in Hu et al (2007). (e) As in this work interest lies in electroseismics, F (s) = F ( f ) = 0.…”

“…As it will be shown below, in accordance to similar results for the seismoelectric case (Haines and Pride, 2006), when using electromagnetic sources, and under unrestrictive assumptions on the model, it is possible to discard from the electroseismic model equations the electrofiltration feedback, which allows in a first stage to solve Maxwell's equations without regarding the mechanical properties of the model, and in a second stage to solve Biot's equations, in which the calculated electric field appears as a spatially distributed source. This approach is the same as the one proposed in Guan and Hu (2008). Concerning the computational domain, the presented algorithm can deal with heterogeneous subsurfaces with lateral variations; there is no restriction to homogeneous or horizontally layered models.…”

A new numerical technique for simulating the coupled seismic and electromagnetic waves in layered porous media

“…There are also a few numerical simulations in the time domain, e.g., Han and Wang (2001) provided a finite element algorithm of modeling the seismo-electromagnetic field induced by SH waves, Haines and Pride (2006) presented a finite difference algorithm of modeling seismoelectric phenomena and provided a 2D implementation of this algorithm. Guan and Hu (2008) provided a finite-difference time-domain algorithm modeling the electroseismic logging in fluid-saturated porous media.…”

A review on electrokinetically induced seismo-electrics, electro-seismics, and seismo-magnetics for Earth sciences

“…The authors noticed that the electro-acoustic Stoneley wave amplitude dependence with porosity has different regimes depending on the permeability; namely it increases with porosity in the permeability range of sediment rocks, and decreases with porosity for high permeabilities (several Darcies or higher). Moreover, they noticed that in the last regime there is a threshold permeability beyond which the electro-acoustic Stoneley wave amplitude does not change with porosity, and that its Guan and Hu (2008) used the mentioned simplification when proposing a finite-difference method with perfectly matched layers (PMLs) as boundary conditions for electroseismic logging in an homogeneous fluid-saturated porous formation. Since the frequency range in this work was assumed to be of the order of the kHz, the dynamic permeability was assumed to be frequency dependent, as derived in Johnson et al (1987).…”