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  4. 中国科学院地球与行星物理重点实验室
Gravity Gradient Tensor of Arbitrary 3D Polyhedral Bodies with up to Third-Order Polynomial Horizontal and Vertical Mass Contrasts

文献类型：期刊论文

作者Ren, Zhengyong1,2; Zhong, Yiyuan2; Chen, Chaojian2; Tang, Jingtian1,2; Kalscheuer, Thomas3; Maurer, Hansruedi4; Li, Yang5
刊名SURVEYS IN GEOPHYSICS
出版日期2018-09-01
卷号39期号:5页码:901-935
关键词Gravity gradient tensor Polyhedral bodies Polynomial mass contrast Shallow target detection Gravity explorations
ISSN号0169-3298
DOI10.1007/s10712-018-9467-1
文献子类Review
英文摘要During the last 20 years, geophysicists have developed great interest in using gravity gradient tensor signals to study bodies of anomalous density in the Earth. Deriving exact solutions of the gravity gradient tensor signals has become a dominating task in exploration geophysics or geodetic fields. In this study, we developed a compact and simple framework to derive exact solutions of gravity gradient tensor measurements for polyhedral bodies, in which the density contrast is represented by a general polynomial function. The polynomial mass contrast can continuously vary in both horizontal and vertical directions. In our framework, the original three-dimensional volume integral of gravity gradient tensor signals is transformed into a set of one-dimensional line integrals along edges of the polyhedral body by sequentially invoking the volume and surface gradient (divergence) theorems. In terms of an orthogonal local coordinate system defined on these edges, exact solutions are derived for these line integrals. We successfully derived a set of unified exact solutions of gravity gradient tensors for constant, linear, quadratic and cubic polynomial orders. The exact solutions for constant and linear cases cover all previously published vertex-type exact solutions of the gravity gradient tensor for a polygonal body, though the associated algorithms may differ in numerical stability. In addition, to our best knowledge, it is the first time that exact solutions of gravity gradient tensor signals are derived for a polyhedral body with a polynomial mass contrast of order higher than one (that is quadratic and cubic orders). Three synthetic models (a prismatic body with depth-dependent density contrasts, an irregular polyhedron with linear density contrast and a tetrahedral body with horizontally and vertically varying density contrasts) are used to verify the correctness and the efficiency of our newly developed closed-form solutions. Excellent agreements are obtained between our solutions and other published exact solutions. In addition, stability tests are performed to demonstrate that our exact solutions can safely be used to detect shallow subsurface targets.
WOS关键词QUADRATIC DENSITY-FUNCTION ; LINEARLY VARYING DENSITY ; SEDIMENTARY BASINS ; UNSTRUCTURED GRIDS ; MAGNETIC-ANOMALIES ; UNIFORM POLYHEDRA ; DEPTH ; INVERSION ; FIELD ; FORMULAS
WOS研究方向Geochemistry & Geophysics
语种英语
WOS记录号WOS:000440819200003
出版者SPRINGER
资助机构National Basic Research Program of China (973)(2015CB060200) ; National Basic Research Program of China (973)(2015CB060200) ; National Science Foundation of China(41574120) ; National Science Foundation of China(41574120) ; Natural Science Foundation of Hunan Province of China(2016JJ2139) ; Natural Science Foundation of Hunan Province of China(2016JJ2139) ; State High-Tech Development Plan of China(2014AA06A602) ; State High-Tech Development Plan of China(2014AA06A602) ; Project of Innovation-driven Plan in Central South University(2016CX005) ; Project of Innovation-driven Plan in Central South University(2016CX005) ; Central South University ; Central South University ; Fundamental Research Funds for the Central Universities of Central South University(1053320171677) ; Fundamental Research Funds for the Central Universities of Central South University(1053320171677) ; Pioneer Hundred Talents Program, Chinese Academy of Sciences ; Pioneer Hundred Talents Program, Chinese Academy of Sciences ; National Basic Research Program of China (973)(2015CB060200) ; National Basic Research Program of China (973)(2015CB060200) ; National Science Foundation of China(41574120) ; National Science Foundation of China(41574120) ; Natural Science Foundation of Hunan Province of China(2016JJ2139) ; Natural Science Foundation of Hunan Province of China(2016JJ2139) ; State High-Tech Development Plan of China(2014AA06A602) ; State High-Tech Development Plan of China(2014AA06A602) ; Project of Innovation-driven Plan in Central South University(2016CX005) ; Project of Innovation-driven Plan in Central South University(2016CX005) ; Central South University ; Central South University ; Fundamental Research Funds for the Central Universities of Central South University(1053320171677) ; Fundamental Research Funds for the Central Universities of Central South University(1053320171677) ; Pioneer Hundred Talents Program, Chinese Academy of Sciences ; Pioneer Hundred Talents Program, Chinese Academy of Sciences ; National Basic Research Program of China (973)(2015CB060200) ; National Basic Research Program of China (973)(2015CB060200) ; National Science Foundation of China(41574120) ; National Science Foundation of China(41574120) ; Natural Science Foundation of Hunan Province of China(2016JJ2139) ; Natural Science Foundation of Hunan Province of China(2016JJ2139) ; State High-Tech Development Plan of China(2014AA06A602) ; State High-Tech Development Plan of China(2014AA06A602) ; Project of Innovation-driven Plan in Central South University(2016CX005) ; Project of Innovation-driven Plan in Central South University(2016CX005) ; Central South University ; Central South University ; Fundamental Research Funds for the Central Universities of Central South University(1053320171677) ; Fundamental Research Funds for the Central Universities of Central South University(1053320171677) ; Pioneer Hundred Talents Program, Chinese Academy of Sciences ; Pioneer Hundred Talents Program, Chinese Academy of Sciences ; National Basic Research Program of China (973)(2015CB060200) ; National Basic Research Program of China (973)(2015CB060200) ; National Science Foundation of China(41574120) ; National Science Foundation of China(41574120) ; Natural Science Foundation of Hunan Province of China(2016JJ2139) ; Natural Science Foundation of Hunan Province of China(2016JJ2139) ; State High-Tech Development Plan of China(2014AA06A602) ; State High-Tech Development Plan of China(2014AA06A602) ; Project of Innovation-driven Plan in Central South University(2016CX005) ; Project of Innovation-driven Plan in Central South University(2016CX005) ; Central South University ; Central South University ; Fundamental Research Funds for the Central Universities of Central South University(1053320171677) ; Fundamental Research Funds for the Central Universities of Central South University(1053320171677) ; Pioneer Hundred Talents Program, Chinese Academy of Sciences ; Pioneer Hundred Talents Program, Chinese Academy of Sciences
源URL[http://ir.iggcas.ac.cn/handle/132A11/88140]  
专题地质与地球物理研究所_中国科学院地球与行星物理重点实验室
通讯作者Tang, Jingtian; Kalscheuer, Thomas
作者单位1.Cent S Univ, Minist Educ, Key Lab Metallogen Predict Nonferrous Met & Geol, Changsha 410083, Hunan, Peoples R China
2.Cent S Univ, Sch Geosci & Infophys, Changsha 410083, Hunan, Peoples R China
3.Uppsala Univ, Dept Earth Sci, S-75236 Uppsala, Sweden
4.Swiss Fed Inst Technol, Inst Geophys, Dept Earth Sci, CH-8092 Zurich, Switzerland
5.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Earth & Planetary Phys, Beijing 100029, Peoples R China
推荐引用方式
GB/T 7714		 Ren, Zhengyong,Zhong, Yiyuan,Chen, Chaojian,et al. Gravity Gradient Tensor of Arbitrary 3D Polyhedral Bodies with up to Third-Order Polynomial Horizontal and Vertical Mass Contrasts[J]. SURVEYS IN GEOPHYSICS,2018,39(5):901-935.
APA Ren, Zhengyong.,Zhong, Yiyuan.,Chen, Chaojian.,Tang, Jingtian.,Kalscheuer, Thomas.,...&Li, Yang.(2018).Gravity Gradient Tensor of Arbitrary 3D Polyhedral Bodies with up to Third-Order Polynomial Horizontal and Vertical Mass Contrasts.SURVEYS IN GEOPHYSICS,39(5),901-935.
MLA Ren, Zhengyong,et al."Gravity Gradient Tensor of Arbitrary 3D Polyhedral Bodies with up to Third-Order Polynomial Horizontal and Vertical Mass Contrasts".SURVEYS IN GEOPHYSICS 39.5(2018):901-935.

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来源：地质与地球物理研究所

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