An improved rotated staggered-grid finite-difference method with fourth-order temporal accuracy for elastic-wave modeling in anisotropic media
Abstract
The rotated staggered-grid (RSG) finite-difference method is a powerful tool for elastic-wave modeling in 2D anisotropic media where the symmetry axes of anisotropy are not aligned with the coordinate axes. We develop an improved RSG scheme with fourth-order temporal accuracy to reduce the numerical dispersion associated with prolonged wave propagation or a large temporal step size. The high-order temporal accuracy is achieved by including high-order temporal derivatives, which can be converted to high-order spatial derivatives to reduce computational cost. Dispersion analysis and numerical tests show that our method exhibits very low temporal dispersion even with a large temporal step size for elastic-wave modeling in complex anisotropic media. Using the same temporal step size, our method is more accurate than the conventional RSG scheme. In conclusion, our improved RSG scheme is therefore suitable for prolonged modeling of elastic-wave propagation in 2D anisotropic media.
- Authors:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Energy Efficiency and Renewable Energy (EERE), Renewable Power Office. Geothermal Technologies Office
- OSTI Identifier:
- 1378920
- Alternate Identifier(s):
- OSTI ID: 1549775
- Report Number(s):
- LA-UR-17-23388
Journal ID: ISSN 0021-9991
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Computational Physics
- Additional Journal Information:
- Journal Volume: 350; Journal ID: ISSN 0021-9991
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 58 GEOSCIENCES; Earth Sciences
Citation Formats
Gao, Kai, and Huang, Lianjie. An improved rotated staggered-grid finite-difference method with fourth-order temporal accuracy for elastic-wave modeling in anisotropic media. United States: N. p., 2017.
Web. doi:10.1016/j.jcp.2017.08.053.
Gao, Kai, & Huang, Lianjie. An improved rotated staggered-grid finite-difference method with fourth-order temporal accuracy for elastic-wave modeling in anisotropic media. United States. https://doi.org/10.1016/j.jcp.2017.08.053
Gao, Kai, and Huang, Lianjie. Thu .
"An improved rotated staggered-grid finite-difference method with fourth-order temporal accuracy for elastic-wave modeling in anisotropic media". United States. https://doi.org/10.1016/j.jcp.2017.08.053. https://www.osti.gov/servlets/purl/1378920.
@article{osti_1378920,
title = {An improved rotated staggered-grid finite-difference method with fourth-order temporal accuracy for elastic-wave modeling in anisotropic media},
author = {Gao, Kai and Huang, Lianjie},
abstractNote = {The rotated staggered-grid (RSG) finite-difference method is a powerful tool for elastic-wave modeling in 2D anisotropic media where the symmetry axes of anisotropy are not aligned with the coordinate axes. We develop an improved RSG scheme with fourth-order temporal accuracy to reduce the numerical dispersion associated with prolonged wave propagation or a large temporal step size. The high-order temporal accuracy is achieved by including high-order temporal derivatives, which can be converted to high-order spatial derivatives to reduce computational cost. Dispersion analysis and numerical tests show that our method exhibits very low temporal dispersion even with a large temporal step size for elastic-wave modeling in complex anisotropic media. Using the same temporal step size, our method is more accurate than the conventional RSG scheme. In conclusion, our improved RSG scheme is therefore suitable for prolonged modeling of elastic-wave propagation in 2D anisotropic media.},
doi = {10.1016/j.jcp.2017.08.053},
journal = {Journal of Computational Physics},
number = ,
volume = 350,
place = {United States},
year = {Thu Aug 31 00:00:00 EDT 2017},
month = {Thu Aug 31 00:00:00 EDT 2017}
}
Web of Science
Works referenced in this record:
Long-wave elastic anisotropy produced by horizontal layering
journal, October 1962
- Backus, George E.
- Journal of Geophysical Research, Vol. 67, Issue 11
A staggered discontinuous Galerkin method for the simulation of seismic waves with surface topography
journal, July 2015
- Chung, Eric T.; Lam, Chi Yeung; Qian, Jianliang
- GEOPHYSICS, Vol. 80, Issue 4
The application of high‐order differencing to the scalar wave equation
journal, January 1986
- Dablain, M. A.
- GEOPHYSICS, Vol. 51, Issue 1
The interior penalty discontinuous Galerkin method for elastic wave propagation: grid dispersion
journal, October 2008
- De Basabe, Jonás D.; Sen, Mrinal K.; Wheeler, Mary F.
- Geophysical Journal International, Vol. 175, Issue 1
An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes - IV. Anisotropy
journal, June 2007
- de la Puente, Josep; Käser, Martin; Dumbser, Michael
- Geophysical Journal International, Vol. 169, Issue 3
The pseudospectral method: Comparisons with finite differences for the elastic wave equation
journal, April 1987
- Fornberg, Bengt
- GEOPHYSICS, Vol. 52, Issue 4
Generation of finite difference formulas on arbitrarily spaced grids
journal, January 1988
- Fornberg, Bengt
- Mathematics of Computation, Vol. 51, Issue 184
The pseudospectral method: Accurate representation of interfaces in elastic wave calculations
journal, May 1988
- Fornberg, Bengt
- GEOPHYSICS, Vol. 53, Issue 5
Generalized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media
journal, August 2015
- Gao, Kai; Fu, Shubin; Gibson, Richard L.
- Journal of Computational Physics, Vol. 295
Effective elasticity of rocks with closely spaced and intersecting cracks
journal, May 2006
- Grechka, Vladimir; Kachanov, Mark
- GEOPHYSICS, Vol. 71, Issue 3
Anisotropic wave propagation through finite‐difference grids
journal, July 1995
- Igel, Heiner; Mora, Peter; Riollet, Bruno
- GEOPHYSICS, Vol. 60, Issue 4
An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes - I. The two-dimensional isotropic case with external source terms
journal, August 2006
- Käser, Martin; Dumbser, Michael
- Geophysical Journal International, Vol. 166, Issue 2
Synthetic Seismograms: a Finite ‐Difference Approach
journal, February 1976
- Kelly, K. R.; Ward, R. W.; Treitel, Sven
- GEOPHYSICS, Vol. 41, Issue 1
Taylor series based finite difference approximations of higher-degree derivatives
journal, May 2003
- Khan, Ishtiaq Rasool; Ohba, Ryoji
- Journal of Computational and Applied Mathematics, Vol. 154, Issue 1
Simulation of anisotropic wave propagation based upon a spectral element method
journal, July 2000
- Komatitsch, Dimitri; Barnes, Christophe; Tromp, Jeroen
- GEOPHYSICS, Vol. 65, Issue 4
Introduction to the spectral element method for three-dimensional seismic wave propagation
journal, December 1999
- Komatitsch, Dimitri; Tromp, Jeroen
- Geophysical Journal International, Vol. 139, Issue 3
Spectral-element simulations of global seismic wave propagation-I. Validation
journal, May 2002
- Komatitsch, Dimitri; Tromp, Jeroen
- Geophysical Journal International, Vol. 149, Issue 2
Fourth‐order finite‐difference P-SV seismograms
journal, November 1988
- Levander, Alan R.
- GEOPHYSICS, Vol. 53, Issue 11
Lebedev scheme for the numerical simulation of wave propagation in 3D anisotropic elasticity‡: Lebedev scheme for numerical simulation of wave propagation
journal, January 2010
- Lisitsa, Vadim; Vishnevskiy, Dmitriy
- Geophysical Prospecting, Vol. 58, Issue 4
Globally optimal finite-difference schemes based on least squares
journal, July 2013
- Liu, Yang
- GEOPHYSICS, Vol. 78, Issue 4
Optimal staggered-grid finite-difference schemes based on least-squares for wave equation modelling
journal, February 2014
- Liu, Yang
- Geophysical Journal International, Vol. 197, Issue 2
High‐order, finite‐difference modeling of multipole logging in formations with anisotropic attenuation and elasticity
journal, January 1996
- Mittet, Rune; Renlie, Lasse
- GEOPHYSICS, Vol. 61, Issue 1
Acoustic and elastic modeling by optimal time-space-domain staggered-grid finite-difference schemes
journal, January 2015
- Ren, Zhiming; Liu, Yang
- GEOPHYSICS, Vol. 80, Issue 1
Finite‐difference modeling of viscoelastic and anisotropic wave propagation using the rotated staggered grid
journal, March 2004
- Saenger, Erik H.; Bohlen, Thomas
- GEOPHYSICS, Vol. 69, Issue 2
Modeling the propagation of elastic waves using a modified finite-difference grid
journal, January 2000
- Saenger, Erik H.; Gold, Norbert; Shapiro, Serge A.
- Wave Motion, Vol. 31, Issue 1
A simple technique for finding effective elastic constants of cracked solids for arbitrary crack orientation statistics
journal, January 1991
- Sayers, C. M.; Kachanov, M.
- International Journal of Solids and Structures, Vol. 27, Issue 6
Seismic characterization of reservoirs containing multiple fracture sets
journal, March 2009
- Sayers, Colin M.
- Geophysical Prospecting, Vol. 57, Issue 2
A staggered-grid finite-difference scheme optimized in the time–space domain for modeling scalar-wave propagation in geophysical problems
journal, November 2014
- Tan, Sirui; Huang, Lianjie
- Journal of Computational Physics, Vol. 276
SH -wave propagation in heterogeneous media: Velocity‐stress finite‐difference method
journal, November 1984
- Virieux, Jean
- GEOPHYSICS, Vol. 49, Issue 11
P-SV wave propagation in heterogeneous media: Velocity‐stress finite‐difference method
journal, April 1986
- Virieux, Jean
- GEOPHYSICS, Vol. 51, Issue 4
A high-order discontinuous Galerkin method for wave propagation through coupled elastic–acoustic media
journal, December 2010
- Wilcox, Lucas C.; Stadler, Georg; Burstedde, Carsten
- Journal of Computational Physics, Vol. 229, Issue 24
An improved nearly analytical discrete method: an efficient tool to simulate the seismic response of 2-D porous structures
journal, December 2006
- Yang, Dinghui; Song, Guojie; Chen, Shan
- Journal of Geophysics and Engineering, Vol. 4, Issue 1
Simulation of acoustic wavefields in heterogeneous media: A robust method for automatic suppression of numerical dispersion
journal, May 2010
- Yang, Dinghui; Song, Guojie; Hua, Biaolong
- GEOPHYSICS, Vol. 75, Issue 3
A Nearly Analytic Discrete Method for Acoustic and Elastic Wave Equations in Anisotropic Media
journal, April 2003
- Yang, D.
- Bulletin of the Seismological Society of America, Vol. 93, Issue 2
Quadrangle-grid velocity-stress finite-difference method for elastic-wave-propagation simulation
journal, October 1997
- Jianfeng, Zhang
- Geophysical Journal International, Vol. 131, Issue 1
Elastic wave modelling in heterogeneous media with high velocity contrasts
journal, October 2004
- Zhang, Jianfeng
- Geophysical Journal International, Vol. 159, Issue 1
Elastic wave modelling in 3D heterogeneous media: 3D grid method
journal, September 2002
- Jianfeng, Zhang; Tielin, Liu
- Geophysical Journal International, Vol. 150, Issue 3
Works referencing / citing this record:
A rectangular staggered-grid finite-difference scheme with fourth-order temporal accuracy for pseudo-acoustic VTI modelling
journal, January 2019
- Xu, Shigang; Liu, Yang
- Exploration Geophysics, Vol. 50, Issue 1