Accuracy-constrained optimisation methods for staggered-grid elastic wave modelling
| Autor: | Meng-Xue Dai, Jing-Bo Chen |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
010504 meteorology & atmospheric sciences
Computer science Truncation Finite difference method 010502 geochemistry & geophysics Grid 01 natural sciences Physics::Fluid Dynamics Geophysics Operator (computer programming) Geochemistry and Petrology Convergence (routing) Range (statistics) Nyquist–Shannon sampling theorem Wavenumber Applied mathematics Nonlinear Sciences::Pattern Formation and Solitons 0105 earth and related environmental sciences |
| Zdroj: | Geophysical Prospecting. 65:150-165 |
| ISSN: | 0016-8025 |
| DOI: | 10.1111/1365-2478.12571 |
| Popis: | The classical finite-difference methods for seismic wave modeling are very accurate at low wavenumbers, but suffer from inaccuracies at high wavenumbers, particularly at Nyquist wavenumber. In contrast, the optimization finite-difference methods reduce inaccuracies at high wavenumbers, but suffer from inaccuracies at low wavenumbers, particularly at zero wavenumber when the operator length is not long and the whole range of wavenumbers is considered. Inaccuracy at zero wavenumber means that the optimization methods only have a zeroth-order accuracy of truncation, and thus are not rigorously convergent. To guarantee the rigorous convergence of the optimization methods, we have developed accuracy-constrained optimization methods. Different-order accuracy-constrained optimization methods are presented. These methods not only guarantee the rigorous convergence but also reduce inaccuracies at low wavenumbers. Accuracy-constrained optimization methods are applied to staggered-grid elastic wave modeling. This article is protected by copyright. All rights reserved |
| Databáze: | OpenAIRE |
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