Anisotropic elastic modeling on a Lebedev grid: Dispersion reduction and grid decoupling

Autor:	Cen Ong, Ray McGarry, Damir Pasalic
Rok vydání:	2011
Předmět:	Physics Mathematical optimization Mathematical analysis Finite difference Finite difference coefficient Minification Decoupling (cosmology) Reduction (mathematics) Grid Dispersion (water waves) Lebedev quadrature
Zdroj:	SEG Technical Program Expanded Abstracts 2011.
DOI:	10.1190/1.3627782
Popis:	We present a scheme for 2D and 3D modeling of elastic wave propagation in general anisotropic media using finite difference approximations on a Lebedev grid. Key to the efficiency and practicality of such a scheme is minimization of the number of spatial points at which wavefield components are calculated and stored. To this end we introduce a method for calculating dispersionreducing finite difference coefficients. We also demonstrate a very useful property of Lebedev grids, namely grid decoupling. Finally, we present a numerical example showing the effectiveness of our proposed scheme by comparison with an analytical solution.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::78744cf3adc09bb8bae8ffc07e9de9ec https://doi.org/10.1190/1.3627782 Zobrazit plný text záznamu