Solving the 3D Acoustic Wave-Equation on Generalized Structured Meshes: A FDTD Approach

Jeffrey Shragge

doi:10.1071/ASEG2015ab023

24th International Geophysical Conference and Exhibition – Geophysics and Geology Together for Discovery

ISSN: 2202-0586
E-ISSN:

oa Solving the 3D Acoustic Wave-Equation on Generalized Structured Meshes: A FDTD Approach
Authors Jeffrey Shragge^a
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^a The University of Western Australia, M004, 35 Stirling Highway Crawley, , WA, 6009, , Australia, [email protected]
Publisher: Australian Society of Exploration Geophysicists
Source: ASEG Extended Abstracts, Volume 2015, Issue 24th International Geophysical Conference and Exhibition – Geophysics and Geology Together for Discovery, Dec 2015, p. 1 - 4
DOI: https://doi.org/10.1071/ASEG2015ab023
- Published online: 01 Dec 2015

Abstract

The key computational kernels of most advanced 3D exploration seismic imaging and inversion algorithms involve calculating solutions of the 3D acoustic wave equation, most commonly with a finite-difference time-domain (FDTD) methodology. While well suited for regularly sampled rectilinear computational domains, FDTD methods seemingly have limited applicability in scenarios involving irregular 3D domain boundaries and mesh interiors best described by non-Cartesian geometry (e.g., surface topography). Using coordinate mappings and differential geometry, I specify a FDTD approach for generating numerical solutions to the acoustic wave equation that is applicable to generalized 3D coordinate systems and (hexahedral) structured meshes. I validate the method on different computational meshes and demonstrate the viability of the modelling approach for 3D non-Cartesian imaging and inversion scenarios.

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2026-01-17

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References

Appelo, D., and Petersson, N.A., 2009, A stable finite-difference method for the elastic wave equation on complex geometries with free surfaces: Communications in Computational Physics, 5, 84-107.
Cockburn, B., Karniadakis, G., and Shu, C., 2000, Discontinuous Galerkin methods: Theory, computational and applications: Springer-Verlag.
Fornberg, B., 1988, Generation of finite difference formulas on arbitrarily spaced grids: Mathematics of Computation, 51, 699-706.
Guggenheimer, H., 1977, Differential geometry: Dover Publications, Inc., New York.
Hestholm, S., 1999, Three-dimensional finite difference viscoelastic wave modelling including surface topography: Geophysical Journal International, 139, 852-878.
Komatitsch, D., and Vilotte, J.-P., 1998, The spectral element method: An efficient tool to simulate the response of 2D and 3D geological structures: Bulletin of the Seismological Society of America, 88, 368-392.
Marfurt, K., 1984, Accuracy of finite-difference and finite-element modelling of the scalar and elastic wave equations: Geophysics, 49, 533-549.
Ohminato, T., and Chouet, B.A., 1997, A free-surface boundary condition for including 3D topography in the finite-difference method: Bulletin of the Seismological Society of America, 87, 494-515.
Priolo, E., Carcione, J. and Seriani, G., 1994, Numerical simulation of interface waves by high-order spectral modeling techniques: Journal of the Acoustical Society of America, 95, 681 -693.
Robertsson, J., Blanch, J.O., Nihei, K., and Troemp, J. (Editors), 2012, Numerical Modeling of Seismic Wave Propagation: Gridded Two-way Wave-equation Methods: SEG, Geophysics Reprint Series 28.
Sava, P., and Fomel, S., 2005, Riemannian wavefield extrapolation: Geophysics, 70, no. 3, T45-T56.
Shragge, J., 2008, Riemannian wavefield extrapolation: Non-orthogonal coordinate systems: Geophysics, 73, no. 2, T11-T21.
Shragge, J., 2014, Reverse time migration from topography: Geophysics, 79, no. 4, T1 -T12.
Synge, J.L., and Schild, A., 1978, Tensor Calculus: Dover Publications, Inc., New York.

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Article Type: Research Article

Keyword(s): 3D acoustic wave propagation; Finite difference; reverse-time migration; seismic modelling

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oa Solving the 3D Acoustic Wave-Equation on Generalized Structured Meshes: A FDTD Approach

Abstract

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