Frequency‐Domain Finite‐Difference Acoustic Modeling with Free Surface Topography using Embedded Boundary Method

Abstract

PreviousNext No AccessSEG Technical Program Expanded Abstracts 2010Frequency‐Domain Finite‐Difference Acoustic Modeling with Free Surface Topography using Embedded Boundary MethodAuthors: Junlun LiYang ZhangM. Nafi ToksözJunlun LiEarth Resources Laboratory, Department of Earth Atmospheric and Planetary Sciences, Massachusetts Institute of TechnologySearch for more papers by this author, Yang ZhangEarth Resources Laboratory, Department of Earth Atmospheric and Planetary Sciences, Massachusetts Institute of TechnologySearch for more papers by this author, and M. Nafi ToksözEarth Resources Laboratory, Department of Earth Atmospheric and Planetary Sciences, Massachusetts Institute of TechnologySearch for more papers by this authorhttps://doi.org/10.1190/1.3513462 SectionsSupplemental MaterialAboutPDF/ePub ToolsAdd to favoritesDownload CitationsTrack CitationsPermissions ShareFacebookTwitterLinked InRedditEmail Abstract In this paper, we present a method to model acoustic wave propagation in the frequency‐domain in the presence of free surface topography using the embedded boundary method. The advantage of this method is to solve for the pressure field at each frequency on regular finite difference grids but with sub‐cell resolution (up to 2nd order accuracy) for the irregular free surface. The topographic free surface condition is implemented in 2nd order accuracy, as in the regular domain and that global 2nd order accuracy is guaranteed. We use the level set method to obtain the projection points and normal directions corresponding to the ghost points in the scheme in the irregular domain. The computational cost for solving the modified sparse matrix for the pressure field increases very little compared to that for a flat surface. We have benchmarked our solver with a 2‐D Gaussian hill model and simulated wave propagating in a modified Canadian foothills model. This solver can be used as the forward engine in the full waveform inversion, and we are working underway to perform full waveform inversions with real land survey data with considerable presence of surface topography.Permalink: https://doi.org/10.1190/1.3513462FiguresReferencesRelatedDetailsCited ByDamped wave-equation-based first-arrival traveltime tomography using the embedded boundary methodYunhui Park and Sukjoon Pyun18 June 2021 | GEOPHYSICS, Vol. 86, No. 4Efficient discontinuous finite difference meshes for 3-D Laplace–Fourier domain seismic wavefield modelling in acoustic media with embedded boundaries29 August 2019 | Geophysical Journal International, Vol. 219, No. 2Embedded boundary methods for modeling 3D finite-difference Laplace-Fourier domain acoustic-wave equation with free-surface topographyHussain AlSalem, Petr Petrov, Gregory Newman, and James Rector21 August 2018 | GEOPHYSICS, Vol. 83, No. 5Frequency-domain seismic-wavefield simulation with rough topographyZhencong Zhao, Jingyi Chen, and Xiaobo Liu27 August 2018An improved immersed boundary finite-difference method for seismic wave propagation modeling with arbitrary surface topographyWenyi Hu7 September 2016 | GEOPHYSICS, Vol. 81, No. 6IBFD for seismic wave modeling -A regular grid method handling arbitrary topographyWenyi Hu*19 August 2015Fast generalized multiscale FEM for complex media: effortless modeling of topography and heterogeneityMikhail Artemyev*, Hyoungsu Baek, and Richard L. Gibson19 August 2015Three-dimensional elastic wave numerical modelling in the presence of surface topography by a collocated-grid finite-difference method on curvilinear grids9 May 2012 | Geophysical Journal International, Vol. 190, No. 1 SEG Technical Program Expanded Abstracts 2010ISSN (print):1052-3812 ISSN (online):1949-4645Copyright: 2010 Pages: 4453 publication data© 2010 Copyright © 2010 Society of Exploration GeophysicistsPublisher:Society of Exploration Geophysicists HistoryPublished: 21 Oct 2010 CITATION INFORMATION Junlun Li, Yang Zhang, and M. Nafi Toksöz, (2010), "Frequency‐Domain Finite‐Difference Acoustic Modeling with Free Surface Topography using Embedded Boundary Method," SEG Technical Program Expanded Abstracts : 2966-2971. https://doi.org/10.1190/1.3513462 Plain-Language Summary PDF DownloadLoading ...