High Order Accurate Finite Difference Modeling of Seismo-Acoustic Wave Propagation in a Moving Atmosphere and a Heterogeneous Earth Model Coupled Across a Realistic Topography
Abstract
Here, we develop a numerical method for simultaneously simulating acoustic waves in a realistic moving atmosphere and seismic waves in a heterogeneous earth model, where the motions are coupled across a realistic topography. We model acoustic wave propagation by solving the linearized Euler equations of compressible fluid mechanics. The seismic waves are modeled by the elastic wave equation in a heterogeneous anisotropic material. The motion is coupled by imposing continuity of normal velocity and normal stresses across the topographic interface. Realistic topography is resolved on a curvilinear grid that follows the interface. The governing equations are discretized using high order accurate finite difference methods that satisfy the principle of summation by parts. We apply the energy method to derive the discrete interface conditions and to show that the coupled discretization is stable. The implementation is verified by numerical experiments, and we demonstrate a simulation of coupled wave propagation in a windy atmosphere and a realistic earth model with non-planar topography.
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1438754
- Report Number(s):
- LLNL-JRNL-704612
Journal ID: ISSN 0885-7474
- Grant/Contract Number:
- AC52-07NA27344
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Scientific Computing
- Additional Journal Information:
- Journal Volume: 74; Journal Issue: 1; Journal ID: ISSN 0885-7474
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 58 GEOSCIENCES; 97 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; Seismo-acoustic wave propagation; Summation by parts; Energy estimate
Citation Formats
Petersson, N. Anders, and Sjogreen, Bjorn. High Order Accurate Finite Difference Modeling of Seismo-Acoustic Wave Propagation in a Moving Atmosphere and a Heterogeneous Earth Model Coupled Across a Realistic Topography. United States: N. p., 2017.
Web. doi:10.1007/s10915-017-0434-7.
Petersson, N. Anders, & Sjogreen, Bjorn. High Order Accurate Finite Difference Modeling of Seismo-Acoustic Wave Propagation in a Moving Atmosphere and a Heterogeneous Earth Model Coupled Across a Realistic Topography. United States. https://doi.org/10.1007/s10915-017-0434-7
Petersson, N. Anders, and Sjogreen, Bjorn. Tue .
"High Order Accurate Finite Difference Modeling of Seismo-Acoustic Wave Propagation in a Moving Atmosphere and a Heterogeneous Earth Model Coupled Across a Realistic Topography". United States. https://doi.org/10.1007/s10915-017-0434-7. https://www.osti.gov/servlets/purl/1438754.
@article{osti_1438754,
title = {High Order Accurate Finite Difference Modeling of Seismo-Acoustic Wave Propagation in a Moving Atmosphere and a Heterogeneous Earth Model Coupled Across a Realistic Topography},
author = {Petersson, N. Anders and Sjogreen, Bjorn},
abstractNote = {Here, we develop a numerical method for simultaneously simulating acoustic waves in a realistic moving atmosphere and seismic waves in a heterogeneous earth model, where the motions are coupled across a realistic topography. We model acoustic wave propagation by solving the linearized Euler equations of compressible fluid mechanics. The seismic waves are modeled by the elastic wave equation in a heterogeneous anisotropic material. The motion is coupled by imposing continuity of normal velocity and normal stresses across the topographic interface. Realistic topography is resolved on a curvilinear grid that follows the interface. The governing equations are discretized using high order accurate finite difference methods that satisfy the principle of summation by parts. We apply the energy method to derive the discrete interface conditions and to show that the coupled discretization is stable. The implementation is verified by numerical experiments, and we demonstrate a simulation of coupled wave propagation in a windy atmosphere and a realistic earth model with non-planar topography.},
doi = {10.1007/s10915-017-0434-7},
journal = {Journal of Scientific Computing},
number = 1,
volume = 74,
place = {United States},
year = {Tue Apr 18 00:00:00 EDT 2017},
month = {Tue Apr 18 00:00:00 EDT 2017}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 26 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Equations for finite-difference, time-domain simulation of sound propagation in moving inhomogeneous media and numerical implementation
journal, February 2005
- Ostashev, Vladimir E.; Wilson, D. Keith; Liu, Lanbo
- The Journal of the Acoustical Society of America, Vol. 117, Issue 2
P-SV wave propagation in heterogeneous media: Velocity‐stress finite‐difference method
journal, April 1986
- Virieux, Jean
- GEOPHYSICS, Vol. 51, Issue 4
Discretizing singular point sources in hyperbolic wave propagation problems
journal, September 2016
- Petersson, N. Anders; O'Reilly, Ossian; Sjögreen, Björn
- Journal of Computational Physics, Vol. 321
Wave propagation in anisotropic elastic materials and curvilinear coordinates using a summation-by-parts finite difference method
journal, October 2015
- Petersson, N. Anders; Sjögreen, Björn
- Journal of Computational Physics, Vol. 299
Summation by parts, projections, and stability. I
journal, September 1995
- Olsson, Pelle
- Mathematics of Computation, Vol. 64, Issue 211
A Fourth Order Accurate Finite Difference Scheme for the Elastic Wave Equation in Second Order Formulation
journal, September 2011
- Sjögreen, Björn; Petersson, N. Anders
- Journal of Scientific Computing, Vol. 52, Issue 1
Super-Grid Modeling of the Elastic Wave Equation in Semi-Bounded Domains
journal, October 2014
- Petersson, N. Anders; Sjögreen, Björn
- Communications in Computational Physics, Vol. 16, Issue 4
Optimal time splitting for two- and three-dimensional navier-stokes equations with mixed derivatives
journal, May 1981
- Abarbanel, Saul; Gottlieb, David
- Journal of Computational Physics, Vol. 41, Issue 1
Stable and Efficient Modeling of Anelastic Attenuation in Seismic Wave Propagation
journal, July 2012
- Petersson, N. Anders; Sjögreen, Björn
- Communications in Computational Physics, Vol. 12, Issue 1
Stable Grid Refinement and Singular Source Discretization for Seismic Wave Simulations
journal, June 2010
- Sjögreen, N. Anders Petersson and Björn
- Communications in Computational Physics, Vol. 8, Issue 5
Summation by Parts Operators for Finite Difference Approximations of Second-Derivatives with Variable Coefficients
journal, September 2011
- Mattsson, Ken
- Journal of Scientific Computing, Vol. 51, Issue 3
Linearized acoustic perturbation equations for low Mach number flow with variable density and temperature
journal, May 2007
- Munz, Claus-Dieter; Dumbser, Michael; Roller, Sabine
- Journal of Computational Physics, Vol. 224, Issue 1
A Normal Mode Stability Analysis of Numerical Interface Conditions for Fluid/Structure Interaction
journal, August 2011
- Banks, J. W.; Sjögreen, B.
- Communications in Computational Physics, Vol. 10, Issue 2
The convergence rate for difference approximations to mixed initial boundary value problems
journal, May 1975
- Gustafsson, Bertil
- Mathematics of Computation, Vol. 29, Issue 130
Summation by Parts for Finite Difference Approximations for d/dx
journal, January 1994
- Strand, Bo
- Journal of Computational Physics, Vol. 110, Issue 1
Stable Difference Approximations for the Elastic Wave Equation in Second Order Formulation
journal, January 2007
- Nilsson, Stefan; Petersson, N. Anders; Sjögreen, Björn
- SIAM Journal on Numerical Analysis, Vol. 45, Issue 5
Summation by parts, projections, and stability. II
journal, January 1995
- Olsson, Pelle
- Mathematics of Computation, Vol. 64, Issue 212
Finite difference synthesis of infrasound propagation through a windy, viscous atmosphere: application to a bolide explosion detected by seismic networks: Infrasound in a windy, viscous atmosphere
journal, February 2011
- de Groot-Hedlin, Catherine; Hedlin, Michael A. H.; Walker, Kris
- Geophysical Journal International, Vol. 185, Issue 1
Summation by parts operators for finite difference approximations of second derivatives
journal, September 2004
- Mattsson, Ken; Nordström, Jan
- Journal of Computational Physics, Vol. 199, Issue 2
On the order of accuracy for difference approximations of initial-boundary value problems
journal, October 2006
- Svärd, Magnus; Nordström, Jan
- Journal of Computational Physics, Vol. 218, Issue 1
Stable and high order accurate difference methods for the elastic wave equation in discontinuous media
journal, December 2014
- Duru, Kenneth; Virta, Kristoffer
- Journal of Computational Physics, Vol. 279
The Seismoacoustic Wavefield: a new Paradigm in Studying Geophysical Phenomena
journal, January 2010
- Arrowsmith, Stephen J.; Johnson, Jeffrey B.; Drob, Douglas P.
- Reviews of Geophysics, Vol. 48, Issue 4
A high-order super-grid-scale absorbing layer and its application to linear hyperbolic systems
journal, June 2009
- Appelö, Daniel; Colonius, Tim
- Journal of Computational Physics, Vol. 228, Issue 11
Works referencing / citing this record:
An energy‐based discontinuous Galerkin method for coupled elasto‐acoustic wave equations in second‐order form
journal, April 2019
- Appelö, Daniel; Wang, Siyang
- International Journal for Numerical Methods in Engineering, Vol. 119, Issue 7
Seismoacoustic Analysis of Chemical Explosions at the Nevada National Security Site
journal, January 2019
- Pasyanos, Michael E.; Kim, Keehoon
- Journal of Geophysical Research: Solid Earth, Vol. 124, Issue 1