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

Petersson, N. Anders; Sjogreen, Bjorn

doi:10.1007/s10915-017-0434-7

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

Journal Article · Tue Apr 18 00:00:00 EDT 2017 · Journal of Scientific Computing

DOI:https://doi.org/10.1007/s10915-017-0434-7· OSTI ID:1438754

^[1]; Sjogreen, Bjorn ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1438754

Report Number(s):: LLNL-JRNL--704612

Journal Information:: Journal of Scientific Computing, Journal Name: Journal of Scientific Computing Journal Issue: 1 Vol. 74; ISSN 0885-7474

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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An energy‐based discontinuous Galerkin method for coupled elasto‐acoustic wave equations in second‐order form Appelö, Daniel; Wang, Siyang International Journal for Numerical Methods in Engineering, Vol. 119, Issue 7 https://doi.org/10.1002/nme.6065	journal	April 2019
Seismoacoustic Analysis of Chemical Explosions at the Nevada National Security Site Pasyanos, Michael E.; Kim, Keehoon Journal of Geophysical Research: Solid Earth, Vol. 124, Issue 1 https://doi.org/10.1029/2018jb016705	journal	January 2019

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97 MATHEMATICS AND COMPUTING
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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

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