A highly accurate finite-difference method with minimum dispersion error for solving the Helmholtz equation
| Autor: | Zedong Wu, Tariq Alkhalifah |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Numerical Analysis Physics and Astronomy (miscellaneous) Helmholtz equation Computer simulation Applied Mathematics Isotropy Mathematical analysis Finite difference Finite difference method Finite difference coefficient 010502 geochemistry & geophysics 01 natural sciences Computer Science Applications 010101 applied mathematics Computational Mathematics Transverse isotropy Modeling and Simulation Acoustic wave equation 0101 mathematics 0105 earth and related environmental sciences |
| Zdroj: | Journal of Computational Physics. 365:350-361 |
| ISSN: | 0021-9991 |
| Popis: | Numerical simulation of the acoustic wave equation in either isotropic or anisotropic media is crucial to seismic modeling, imaging and inversion. Actually, it represents the core computation cost of these highly advanced seismic processing methods. However, the conventional finite-difference method suffers from severe numerical dispersion errors and S-wave artifacts when solving the acoustic wave equation for anisotropic media. We propose a method to obtain the finite-difference coefficients by comparing its numerical dispersion with the exact form. We find the optimal finite difference coefficients that share the dispersion characteristics of the exact equation with minimal dispersion error. The method is extended to solve the acoustic wave equation in transversely isotropic (TI) media without S-wave artifacts. Numerical examples show that the method is highly accurate and efficient. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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