Computationally efficient parabolic equation solutions to seismo-acoustic problems involving thin or low-shear elastic layers

Shallow-water environments typically include sediments containing thin or low-shear layers. Numerical treatments of these types of layers require finer depth grid spacing than is needed elsewhere in the domain. Thin layers require finer grids to fully sample effects due to elasticity within the laye...

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Bibliographic Details
Published in:The Journal of the Acoustical Society of America 2013-04, Vol.133 (4), p.EL268-EL273
Main Authors: Metzler, Adam M, Collis, Jon M
Format: Article
Language:English
Subjects:
Acoustics
Computational efficiency
Computer Simulation
Elastic layers
Elasticity
Galerkin methods
Geologic Sediments
Mathematical analysis
Mathematical models
Models, Theoretical
Motion
Numerical Analysis, Computer-Assisted
Oceans and Seas
Seismic phenomena
Signal Processing, Computer-Assisted
Sound
Sound Spectrography
Sound waves
Thin films
Time Factors
Water
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Summary:Shallow-water environments typically include sediments containing thin or low-shear layers. Numerical treatments of these types of layers require finer depth grid spacing than is needed elsewhere in the domain. Thin layers require finer grids to fully sample effects due to elasticity within the layer. As shear wave speeds approach zero, the governing system becomes singular and fine-grid spacing becomes necessary to obtain converged solutions. In this paper, a seismo-acoustic parabolic equation solution is derived utilizing modified difference formulas using Galerkin's method to allow for variable-grid spacing in depth. Propagation results are shown for environments containing thin layers and low-shear layers.
ISSN:0001-4966
1520-8524
DOI:10.1121/1.4794348