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Two-dimensional simulation of Rayleigh waves with staggered sine/cosine transforms and variable grid spacing

Dan Kosloff and Jose M. Carcione
Two-dimensional simulation of Rayleigh waves with staggered sine/cosine transforms and variable grid spacing
Geophysics (August 2010) 75 (4): T133-T140

Abstract

Simulation of Rayleigh waves requires high accuracy and an adequate spatial sampling at the surface. Discrete cosine and sine transforms are used to compute spatial derivatives along the direction perpendicular to the surface of the earth. Unlike the standard Fourier method, these transforms allow nonperiodic boundary conditions to be satisfied, in particular, the stress-free conditions at the surface. Because simulation of surface waves requires more points per minimum wavelength at the surface than simulation of body waves, the equispaced grid is not efficient. To overcome this problem, a grid compression is performed at the surface to obtain a denser spatial sampling. Grid size is minimal at the surface and increases with depth until reaching, at a relatively shallow depth, the grid points per wavelength required by the body waves. The stress-free boundary conditions are naturally handled by expanding the appropriate stress components in terms of the discrete sine transform. The wave equation is solved in the particle-velocity and stress formulation using a Runge-Kutta time integration and the convolutional PML (CPML) method to prevent reflections from the mesh boundaries. The simulations are very accurate for shallow sources and receivers and large offsets.


ISSN: 0016-8033
EISSN: 1942-2156
Coden: GPYSA7
Serial Title: Geophysics
Serial Volume: 75
Serial Issue: 4
Title: Two-dimensional simulation of Rayleigh waves with staggered sine/cosine transforms and variable grid spacing
Affiliation: Tel-Aviv University, Tel Aviv, Israel
Pages: T133-T140
Published: 201008
Text Language: English
Publisher: Society of Exploration Geophysicists, Tulsa, OK, United States
References: 21
Accession Number: 2011-020019
Categories: Applied geophysics
Document Type: Serial
Bibliographic Level: Analytic
Illustration Description: illus.
Secondary Affiliation: Istituto Nazionale di Oceanografia e di Geofisica Sperimentale, ITA, Italy
Country of Publication: United States
Secondary Affiliation: GeoRef, Copyright 2017, American Geosciences Institute. Reference includes data supplied by Society of Exploration Geophysicists, Tulsa, OK, United States
Update Code: 201112
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