Fractional Laplacian visco-acoustic wave equation temporal extrapolation using a staggered-grid low-rank method

PreviousNext No AccessSEG Technical Program Expanded Abstracts 2019Fractional Laplacian visco-acoustic wave equation temporal extrapolation using a staggered-grid low-rank methodAuthors: Shuqi JiangHangming ChenHui ZhouHua HuangChuntao JiangMingzhu ZhangShuqi JiangChina University of Petroleum (Beijing)Search for more papers by this author, Hangming ChenChina University of Petroleum (Beijing)Search for more papers by this author, Hui ZhouChina University of Petroleum (Beijing)Search for more papers by this author, Hua HuangChina University of Petroleum (Beijing)Search for more papers by this author, Chuntao JiangChina University of Petroleum (Beijing)Search for more papers by this author, and Mingzhu ZhangChina University of Petroleum (Beijing)Search for more papers by this authorhttps://doi.org/10.1190/segam2019-3214592.1 SectionsSupplemental MaterialAboutPDF/ePub ToolsAdd to favoritesDownload CitationsTrack CitationsPermissions ShareFacebookTwitterLinked InRedditEmail AbstractWe develop a first-order fractional Laplacian visco-acoustic wave equation system in terms of pressure and particlevelocity. The first-order wave equation is more favored than the traditional second-order wave equation, because of its flexibility to incorporate the perfectly matched layer (PML) absorbing boundary condition and a spatial variable density. We derive an analytical temporal extrapolation formula under the staggered-grid configuration. The analytical extrapolation formula ensures an absolutely stable simulation result without numerical dispersion in homogeneous media. When simulating wave-propagation in heterogeneous media, we adopt the low-rank decomposition to approximate the k-space mixed-domain wave-propagator. The visco-acoustic staggered-grid low-rank extrapolation is more accurate than the conventional pseudo-spectral extrapolation method, and is subjected to a looser stability condition. Numerical examples verify the effectiveness of our visco-acoustic staggered-grid low-rank simulation method.Presentation Date: Tuesday, September 17, 2019Session Start Time: 8:30 AMPresentation Start Time: 9:45 AMLocation: 304APresentation Type: OralKeywords: extrapolation, viscoelastic, wave equationPermalink: https://doi.org/10.1190/segam2019-3214592.1FiguresReferencesRelatedDetails SEG Technical Program Expanded Abstracts 2019ISSN (print):1052-3812 ISSN (online):1949-4645Copyright: 2019 Pages: 5407 publication data© 2019 Published in electronic format with permission by the Society of Exploration GeophysicistsPublisher:Society of Exploration Geophysicists HistoryPublished Online: 10 Aug 2019 CITATION INFORMATION Shuqi Jiang, Hangming Chen, Hui Zhou, Hua Huang, Chuntao Jiang, and Mingzhu Zhang, (2019), "Fractional Laplacian visco-acoustic wave equation temporal extrapolation using a staggered-grid low-rank method," SEG Technical Program Expanded Abstracts : 3785-3789. https://doi.org/10.1190/segam2019-3214592.1 Plain-Language Summary Keywordsextrapolationviscoelasticwave equationPDF DownloadLoading ...