The application of the perfectly matched layer in numerical modeling of wave propagation in poroelastic media

By Y. Zeng, J. Q. He, Qing Huo Liu. 2001

213 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/c3ef7b3e6a76814cdf6b3603a11b90628d8857bc

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In Atomic and Molecular Physics, and Optics

In Electrical and Electronic Engineering

In Mechanics of Materials

Citations in the corpus

An unsplit convolutional perfectly matched layer improved at grazing incidence for the seismic wave equation (2007, methodology): “tions Hesthaven, 1998, eddy-current problems Kosmanis et al., 1999, and wave propagation in poroelastic media Zeng et al., 2001 .”
The Newmark scheme as velocity–stress time-staggering: an efficient PML implementation for spectral element simulations of elastodynamics (2005, background): “As observed in Zeng et al. (2001), the convolution of a function f (t) by an exponential, evaluated at the time t n+1, can be written as follows: In+1( f ) = ωc ∫ tn+1 0 e−ωc(tn+1−t ′) f (t ′) dt ′ = e−ωc tωc ∫ tn 0 e−ωc(tn−t ′) f (t ′) dt ′ + ωc ∫ tn+1 tn e−ωc(tn+1−t ′) f (t ′) dt ′.”
A perfectly matched layer absorbing boundary condition for the second-order seismic wave equation (2003, background): “The PML has become very successful in many other fields, e.g. linearized Euler equations (Hesthaven 1998), eddy-current problems (Kosmanis et al. 1999) and wave propagation in poroelastic media (Zeng et al. 2001).”
Perfectly matched layers for time-harmonic elastodynamics of unbounded domains : Theory and finite-element implementation (2003, methodology): “PMLs have been formulated for other linear wave equations too: the scalar wave equation or the Helmholtz equation [23–25], the linearised Euler equations [26], the wave equation for poroelastic media [27], and, as discussed below, to the elastodynamic wave equation.”
An unsplit convolutional perfectly matched layer technique improved at grazing incidence for the viscoelastic wave equation (2009, background): “…Monk 1998) and adapted to elastic (Chew & Liu 1996; Collino & Tsogka 2001; Komatitsch & Tromp 2003; Cohen & Fauqueux 2005; Festa & Vilotte 2005; Festa et al. 2005; Ma & Liu 2006; Drossaert & Giannopoulos 2007; Komatitsch & Martin 2007) and poroelastic media (Zeng et al. 2001; Martin et al. 2008a).”
On the implementation of perfectly matched layers in a three‐dimensional fourth‐order velocity‐stress finite difference scheme (2003, background): “The selection of the damping parameter distribution varies among authors [e.g., Hastings et al., 1996; Chew and Liu, 1996; Liu and Tao, 1997; Zeng and Liu, 2001; Zeng et al., 2001; Collino and Tsogka, 2001], but is typically of the form”
An efficient multiscale method for time-domain waveform tomography (2009, unknown): “Berenger, 1994; Chew and Liu, 1996; Zeng et al., 2001; Festa and Nielson, 2003" are used at the other boundaries.”
An unsplit convolutional perfectly matched layer improved at grazing incidence for seismic wave propagation in poroelastic media (2008, methodology): “In he context of poroelastic wave-propagation studies performed ased on finite differences, Zeng et al. 2001 applied a split-field ormulation of the PML to the Biot system of equations for the dislacement formulation, and Zeng and Liu 2001b applied it to the elocity-stress formulation.”