Optimizing orthogonal-octahedron finite-difference scheme for 3D acoustic wave modeling by combination of Taylor-series expansion and Remez exchange method

Abstract

Using orthogonal-octahedron finite-difference (FD) stencils, even-order accuracy for temporal and spatial derivatives can be reached for 3D acoustic wave equation modelling. However, the required length of FD operator is still long for high accuracy modelling. To tackle this issue, we have developed an optimization method using a combination of Taylor-series expansion plus Remez exchange methods. The Taylor-series expansion for the octahedron-shaped operator ensures high temporal accuracy and the Remez exchange for axial operator further improves the spatial accuracy. The comparison between our method, exisiting 3D temporal high order method and space domain least-square opimization method validates the efficiency and accuracy superiority of the new method.

Keywords:

• 3D modelling
• acoustic
• wave equation
• finite difference
• optimization

Acknowledgments

We thank the editor Dr. Mark Lackie, associate editor Dr. Jie Hou and two anonymous reviewer for constructive criticisms of our paper. This work is supported by the National Natural Science Foundation of China (NSFC) under contract number 41874144 and the Research Foundation of China University of Petroleum-Beijing at Karamay under contract number RCYJ2018A-01-001.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is supported by the National Natural Science Foundation of China (NSFC) under contract number 41874144 and the Research Foundation of China University of Petroleum-Beijing at Karamay under contract number RCYJ2018A-01-001.