An unsplit convolutional perfectly matched layer improved at grazing incidence for seismic wave propagation in poroelastic media

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Forward and adjoint simulations of seismic wave propagation on fully unstructured hexahedral meshes (2011, methodology): “This issue becomes important when high-order time marching is required to reduce numerical dispersion in difficult case studies that involve complex media with poroelastic or viscoelastic rheologies (Martin et al. 2008b, 2010) or Newtonian compressible fluids (Martin & Couder-Castaneda 2010).”
Unsplit complex frequency-shifted PML implementation using auxiliary differential equations for seismic wave modeling (2010, methodology): “This technique has been used in seismic wave modeling in elastic media Komatitsch and Martin, 2007; Drossaert and Giannopoulos, 2007b and poroelastic media Martin et al., 2008a .”
An unsplit convolutional perfectly matched layer technique improved at grazing incidence for the viscoelastic wave equation (2009, methodology): “This CPML technique has also been extended to heterogeneous anisotropic models in the presence of curved interfaces and a free surface using a high-order finite-element method (Martin et al. 2008b).”