A new staggered grid finite difference scheme optimised in the space domain for the first order acoustic wave equation

Wenquan Liang; Xiu Wu; Yanfei Wang; Jingjie Cao; Chaofan Wu; Baoqing He

doi:10.1071/EG17088

ISSN: 0812-3985
E-ISSN: 1834-7533

A new staggered grid finite difference scheme optimised in the space domain for the first order acoustic wave equation
Authors Wenquan Liang^a, Xiu Wu^a, Yanfei Wang^b,e, Jingjie Cao^c, Chaofan Wu^a and Baoqing He^d
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^a College of Resource Engineering, Longyan University, Longyan 364000, China. ^b Key Laboratory of Petroleum Resources Research, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China. ^c Hebei GEO University, Shijiazhuang, Hebei 050031, China. ^d Bureau of Geophysical Prospecting, China National Petroleum Corporation, Zhuozhou, Hebei 072750, China. ^e Corresponding author. Email: [email protected]
Publisher: Australian Society of Exploration Geophysicists
Source: Exploration Geophysics, Volume 49, Issue 6, Nov 2018, p. 898 - 905
DOI: https://doi.org/10.1071/EG17088
- Received: 02 Jul 2017
- Accepted: 30 Jan 2018
- Published online: 01 Nov 2018

Abstract

[

Staggered grid finite difference (FD) methods are widely used to synthesise seismograms theoretically, and are also the basis of reverse time migration and full waveform inversion. Grid dispersion is one of the key problems for FD methods. It is desirable to have a FD scheme which can accelerate wave equation simulation while still preserving high accuracy. In this paper, we propose a totally new staggered grid FD scheme which uses different staggered grid FD operators for different first order spatial derivatives in the first order acoustic wave equation. We determine the FD coefficient in the space domain with the least-squares method. The dispersion analysis and numerical simulation demonstrated the effectiveness of the proposed method.

In this paper, we propose a new finite difference (FD) scheme which uses different staggered grid FD operators for different first order spatial derivatives in the first order acoustic wave equation. The dispersion analysis and numerical simulation demonstrated the effectiveness of the proposed method.

]

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/content/journals/10.1071/EG17088

A new staggered grid finite difference scheme optimised in the space domain for the first order acoustic wave equation

Exploration Geophysics 49, 898 (2018); https://doi.org/10.1071/EG17088

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Article Type: Research Article

Keyword(s): acoustic wave equation; finite difference scheme; finite difference time domain; numerical dispersion; staggered grid.

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A new staggered grid finite difference scheme optimised in the space domain for the first order acoustic wave equation

Abstract

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