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A new method for numerical dispersion analysis of Laplace-domain 2-D elastic wave equation
Chen, Jing-Bo1,2
2020-02-11
Source PublicationEXPLORATION GEOPHYSICS
ISSN0812-3985
Pages13
AbstractElastic wave modelling in the Laplace domain is the foundation of Laplace-domain elastic wave full waveform inversion. In order to use Laplace-domain numerical modelling schemes efficiently, appropriate grid intervals must be chosen correctly. The determination of grid intervals is based on numerical dispersion analysis of Laplace-domain elastic wave equation. A new method of numerical dispersion analysis is developed for Laplace-domain 2-D elastic wave equation. The novelty of the method lies in two aspects: (1) Based on the concept of the pseudo-wavelength for both P- and S-waves, I introduce a general quantity which is a combination of the Laplace constant, velocity and grid interval. Therefore, the dispersion relations no longer directly depend on the concrete Laplace constant, velocity and grid interval. Just like the frequency-domain dispersion analysis, a general conclusion with regard to the general quantity can be made; (2) The ratio of numerical eigenvalue to analytical eigenvalue can be interpreted as the normalised attenuation propagation velocity. The number of grid points per S-wave pseudo-wavelength is determined by the accuracy of normalised P- and S-wave attenuation propagation velocities. Based on a commonly used finite-element scheme, the numbers of grid points per S-wave pseudo-wavelength are determined for different Poisson ratios and for different ratios of directional grid intervals. These results are important in applying the finite-element scheme to Laplace-domain elastic wave modelling and full waveform inversion. Comparisons with the analytical solution validate the criterion on the numbers of grid points per S-wave pseudo-wavelength.
KeywordNumerical dispersion modelling finite element
DOI10.1080/08123985.2020.1725385
Funding OrganizationNational Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key Research and Development Project ; National Key Research and Development Project ; National Key Research and Development Project ; National Key Research and Development Project ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key Research and Development Project ; National Key Research and Development Project ; National Key Research and Development Project ; National Key Research and Development Project ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key Research and Development Project ; National Key Research and Development Project ; National Key Research and Development Project ; National Key Research and Development Project ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key Research and Development Project ; National Key Research and Development Project ; National Key Research and Development Project ; National Key Research and Development Project
WOS KeywordFORM INVERSION ; FINITE-DIFFERENCE ; FREQUENCY-DOMAIN ; SCALAR ; LAYER ; TIME
Language英语
Funding ProjectNational Natural Science Foundation of China[41874163] ; National Natural Science Foundation of China[41674132] ; National Key Research and Development Project[2018YFF01013503]
Funding OrganizationNational Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key Research and Development Project ; National Key Research and Development Project ; National Key Research and Development Project ; National Key Research and Development Project ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key Research and Development Project ; National Key Research and Development Project ; National Key Research and Development Project ; National Key Research and Development Project ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key Research and Development Project ; National Key Research and Development Project ; National Key Research and Development Project ; National Key Research and Development Project ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key Research and Development Project ; National Key Research and Development Project ; National Key Research and Development Project ; National Key Research and Development Project
WOS Research AreaGeochemistry & Geophysics
WOS SubjectGeochemistry & Geophysics
WOS IDWOS:000517932700001
PublisherTAYLOR & FRANCIS LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.iggcas.ac.cn/handle/132A11/95645
Collection油气资源研究院重点实验室
Corresponding AuthorChen, Jing-Bo
Affiliation1.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing 100029, Peoples R China
2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
First Author AffilicationKey Laboratory of Petroleum Resource Research, Chinese Academy of Sciences
Corresponding Author AffilicationKey Laboratory of Petroleum Resource Research, Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Chen, Jing-Bo. A new method for numerical dispersion analysis of Laplace-domain 2-D elastic wave equation[J]. EXPLORATION GEOPHYSICS,2020:13.
APA Chen, Jing-Bo.(2020).A new method for numerical dispersion analysis of Laplace-domain 2-D elastic wave equation.EXPLORATION GEOPHYSICS,13.
MLA Chen, Jing-Bo."A new method for numerical dispersion analysis of Laplace-domain 2-D elastic wave equation".EXPLORATION GEOPHYSICS (2020):13.
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