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An unsplit convolutional perfectly matched layer improved at grazing incidence for the seismic wave equation

Dimitri Komatitsch and Roland Martin
An unsplit convolutional perfectly matched layer improved at grazing incidence for the seismic wave equation (in Seismic modeling with applications to acquisition, processing, and interpretation, Johan O. A. Robertsson (editor), Bee Bednar (editor), Joakim Blanch (editor), Clement Kostov (editor) and Dirk-Jan van Manen (editor))
Geophysics (September 2007) 72 (5, Suppl.): SM155-SM167

Abstract

The perfectly matched layer (PML) absorbing boundary condition has proven to be very efficient from a numerical point of view for the elastic wave equation to absorb both body waves with nongrazing incidence and surface waves. However, at grazing incidence the classical discrete PML method suffers from large spurious reflections that make it less efficient for instance in the case of very thin mesh slices, in the case of sources located close to the edge of the mesh, and/or in the case of receivers located at very large offset. We demonstrate how to improve the PML at grazing incidence for the differential seismic wave equation based on an unsplit convolution technique. The improved PML has a cost that is similar in terms of memory storage to that of the classical PML. We illustrate the efficiency of this improved convolutional PML based on numerical benchmarks using a finite-difference method on a thin mesh slice for an isotropic material and show that results are significantly improved compared with the classical PML technique. We also show that, as the classical PML, the convolutional technique is intrinsically unstable in the case of some anisotropic materials.


ISSN: 0016-8033
EISSN: 1942-2156
Coden: GPYSA7
Serial Title: Geophysics
Serial Volume: 72
Serial Issue: 5, Suppl.
Title: An unsplit convolutional perfectly matched layer improved at grazing incidence for the seismic wave equation
Title: Seismic modeling with applications to acquisition, processing, and interpretation
Author(s): Komatitsch, DimitriMartin, Roland
Author(s): Robertsson, Johan O. A.editor
Author(s): Bednar, Beeeditor
Author(s): Blanch, Joakimeditor
Author(s): Kostov, Clementeditor
Author(s): van Manen, Dirk-Janeditor
Affiliation: Universite de Pau et des Pays de l'Adour, Laboratoire de Modelisation et d'Imagerie en Geosciences, Pau, France
Affiliation: WesternGeco Oslo Technology Centre, Marine Acquisition Systems, Oslo, Norway
Pages: SM155-SM167
Published: 200709
Text Language: English
Publisher: Society of Exploration Geophysicists, Tulsa, OK, United States
References: 88
Accession Number: 2008-078618
Categories: Applied geophysics
Document Type: Serial
Bibliographic Level: Analytic
Illustration Description: illus. incl. tables
Secondary Affiliation: Panorama Technologies, Houston, TX, USA, United StatesSensorWise, Houston, TX, USA, United StatesSchlumberger Cambridge Research, GBR, United KingdomWesternGeco, GBR, United Kingdom
Country of Publication: United States
Secondary Affiliation: GeoRef, Copyright 2018, American Geosciences Institute. Reference includes data supplied by Society of Exploration Geophysicists, Tulsa, OK, United States
Update Code: 200822
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