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3-D dc resistivity modelling based on spectral element method with unstructured tetrahedral grids
Zhu, Jiao1; Yin, Changchun1; Liu, Youshan2; Liu, Yunhe1; Liu, Ling3; Yang, Zhilong4; Qiu, Changkai5
2020-03-01
Source PublicationGEOPHYSICAL JOURNAL INTERNATIONAL
ISSN0956-540X
Volume220Issue:3Pages:1748-1761
AbstractIn this paper, we propose a spectral element method (SEM) based on unstructured tetrahedral grids for direct current (dc) resistivity modelling. Unlike the tensor-product of 1-D Gauss- Lobatto-Legendre (GLL) quadrature in conventional SEM, we use Proriol-Kooniwinder- Dubiner (PKD) polynomials to form the high-order basis polynomials on tetrahedral grids. The final basis functions are established by using Vandermonde matrix. Compared to traditional SEM, our method truly takes into account the high precision of spectral method and the flexibility of finite element method with unstructured grids for modelling the complex underground structures. After addressing the theory on the construction of basis functions and interpolation and integration nodes, we validate our algorithm using the analytical solutions for a layered earth model and the results from other methods for multiple geoclectrical models. We further investigate a dual-track scheme for improving the accuracy of our SEM by increasing the order of interpolation polynomials or by refining the grids.
KeywordElectrical properties Electromagnetic theory Numerical approximations and analysis Numerical modelling
DOI10.1093/gji/ggz534
Funding OrganizationNational Natural Science Foundation of China ; National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Key National Research Project of China ; Key National Research Project of China ; S&T Program of Beijing ; S&T Program of Beijing ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Key National Research Project of China ; Key National Research Project of China ; S&T Program of Beijing ; S&T Program of Beijing ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Key National Research Project of China ; Key National Research Project of China ; S&T Program of Beijing ; S&T Program of Beijing ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Key National Research Project of China ; Key National Research Project of China ; S&T Program of Beijing ; S&T Program of Beijing
WOS KeywordDATA INCORPORATING TOPOGRAPHY ; FINITE-ELEMENTS ; WAVE-PROPAGATION ; INVERSION ; TRIANGLES ; ALGORITHM ; POINTS ; FLOW
Language英语
Funding ProjectNational Natural Science Foundation of China[41774125] ; National Natural Science Foundation of China[41530320] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDA14020102] ; Key National Research Project of China[2017YFC0601900] ; Key National Research Project of China[2016YFC0303100] ; S&T Program of Beijing[Z181100005718001]
Funding OrganizationNational Natural Science Foundation of China ; National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Key National Research Project of China ; Key National Research Project of China ; S&T Program of Beijing ; S&T Program of Beijing ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Key National Research Project of China ; Key National Research Project of China ; S&T Program of Beijing ; S&T Program of Beijing ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Key National Research Project of China ; Key National Research Project of China ; S&T Program of Beijing ; S&T Program of Beijing ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Key National Research Project of China ; Key National Research Project of China ; S&T Program of Beijing ; S&T Program of Beijing
WOS Research AreaGeochemistry & Geophysics
WOS SubjectGeochemistry & Geophysics
WOS IDWOS:000525944600021
PublisherOXFORD UNIV PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.iggcas.ac.cn/handle/132A11/95549
Collection岩石圈演化国家重点实验室
Corresponding AuthorYin, Changchun
Affiliation1.Jilin Univ, Coll Geoexplorat Sci & Technol, Changchun, Peoples R China
2.Chinese Acad Sci, Inst Geol & Geophys, State Key Lab Lithospher Evolut, Beijing, Peoples R China
3.Chengdu Branch Ctr, CAEP Software Ctr High Performance Numer Simulat, Chengdu, Peoples R China
4.Fudan Univ, Key Lab Informat Sci Electromagnet Waves MoE, Shanghai, Peoples R China
5.China Geol Survey, Dev & Res Ctr, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Zhu, Jiao,Yin, Changchun,Liu, Youshan,et al. 3-D dc resistivity modelling based on spectral element method with unstructured tetrahedral grids[J]. GEOPHYSICAL JOURNAL INTERNATIONAL,2020,220(3):1748-1761.
APA Zhu, Jiao.,Yin, Changchun.,Liu, Youshan.,Liu, Yunhe.,Liu, Ling.,...&Qiu, Changkai.(2020).3-D dc resistivity modelling based on spectral element method with unstructured tetrahedral grids.GEOPHYSICAL JOURNAL INTERNATIONAL,220(3),1748-1761.
MLA Zhu, Jiao,et al."3-D dc resistivity modelling based on spectral element method with unstructured tetrahedral grids".GEOPHYSICAL JOURNAL INTERNATIONAL 220.3(2020):1748-1761.
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