Exact solutions of the vertical gravitational anomaly for a polyhedral prism with vertical polynomial density contrast of arbitrary orders

doi:10.1093/gji/ggy250

	Exact solutions of the vertical gravitational anomaly for a polyhedral prism with vertical polynomial density contrast of arbitrary orders
	Chen, Chaojian 1; Ren, Zhengyong 1; Pan, Kejia 2; Tang, Jingtian 1; Kalscheuer, Thomas 3; Maurer, Hansruedi 4; Sun, Ya 1; Li, Yang 5
刊名	GEOPHYSICAL JOURNAL INTERNATIONAL
	2018-09-01
卷号	214 期号:3 页码:2115-2132
关键词	Geopotential theory Gravity anomalies and Earth structure Numerical approximations and analysis Numerical modelling Numerical solutions
ISSN号	0956-540X
DOI	10.1093/gji/ggy250
文献子类	Article
英文摘要	We present general closed-form solutions for the vertical gravitational anomaly caused by a polyhedral prism with mass density contrast varying with depth. Our equations are the first ones to implement a polynomial vertical mass density contrast of arbitrary order. Singularities in the gravity field which arise when the observation site is close to or in the anomalous polyhedral prism are removed in our analytic expressions. Therefore, the observation site can be located outside, on the faces of or inside the anomalous mass bodies. A simple prismatic body of anomalous density is adopted to test the accuracy of our newly developed closed-form solution. Cases of constant, linear, quadratic, cubic and quartic polynomial orders of mass density contrast are tested. For cases of constant, linear, quadratic and cubic polynomial orders, the relative errors between our results and other published exact solutions are less than 10(-11)%. For the case of quartic polynomial order, relative errors less than 10(-10)% are obtained between our solutions and those computed by a high-order Gaussian quadrature rule (512 x 512 x 512 = 134 217 728 quadrature points), where our new analytic solution needs significantly less computational time (0.0009 versus 31.106 s). These numerical experiments not only verified the accuracy of our new formula but also demonstrated their potential in computing exact gravity anomalies for complicated mass density distributions in the Earth.
WOS关键词	FINITE-ELEMENT SIMULATION ; DEPTH-DEPENDENT DENSITY ; RIGHT RECTANGULAR PRISM ; GRAVITY-ANOMALIES ; LINE INTEGRALS ; ANALYTICAL COMPUTATION ; ANALYTICAL EXPRESSIONS ; OPTIMUM EXPRESSION ; MAGNETIC-ANOMALIES ; SEDIMENTARY BASINS
WOS研究方向	Geochemistry & Geophysics
语种	英语
出版者	OXFORD UNIV PRESS
WOS记录号	WOS:000439648000038
资助机构	National Science Foundation of China(41574120 ; National Science Foundation of China(41574120 ; National Basic Research Program of China (973)(2015CB060200) ; National Basic Research Program of China (973)(2015CB060200) ; Natural Science Foundation of Hunan Province of China(2018JJ3643) ; Natural Science Foundation of Hunan Province of China(2018JJ3643) ; Innovation-Driven Project of Central South University(2018CX042) ; Innovation-Driven Project of Central South University(2018CX042) ; Central South University ; Central South University ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; 41474103 ; 41474103 ; 41704100) ; 41704100) ; National Science Foundation of China(41574120 ; National Science Foundation of China(41574120 ; National Basic Research Program of China (973)(2015CB060200) ; National Basic Research Program of China (973)(2015CB060200) ; Natural Science Foundation of Hunan Province of China(2018JJ3643) ; Natural Science Foundation of Hunan Province of China(2018JJ3643) ; Innovation-Driven Project of Central South University(2018CX042) ; Innovation-Driven Project of Central South University(2018CX042) ; Central South University ; Central South University ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; 41474103 ; 41474103 ; 41704100) ; 41704100) ; National Science Foundation of China(41574120 ; National Science Foundation of China(41574120 ; National Basic Research Program of China (973)(2015CB060200) ; National Basic Research Program of China (973)(2015CB060200) ; Natural Science Foundation of Hunan Province of China(2018JJ3643) ; Natural Science Foundation of Hunan Province of China(2018JJ3643) ; Innovation-Driven Project of Central South University(2018CX042) ; Innovation-Driven Project of Central South University(2018CX042) ; Central South University ; Central South University ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; 41474103 ; 41474103 ; 41704100) ; 41704100) ; National Science Foundation of China(41574120 ; National Science Foundation of China(41574120 ; National Basic Research Program of China (973)(2015CB060200) ; National Basic Research Program of China (973)(2015CB060200) ; Natural Science Foundation of Hunan Province of China(2018JJ3643) ; Natural Science Foundation of Hunan Province of China(2018JJ3643) ; Innovation-Driven Project of Central South University(2018CX042) ; Innovation-Driven Project of Central South University(2018CX042) ; Central South University ; Central South University ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; 41474103 ; 41474103 ; 41704100) ; 41704100)
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/88159]
专题	中国科学院地质与地球物理研究所
通讯作者	Ren, Zhengyong
作者单位	1.Cent S Univ, Sch Geosci & Infophys, Changsha 410083, Hunan, Peoples R China 2.Cent S Univ, Sch Math & Stat, 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-8091 Zurich, Switzerland 5.Chinese Acad Sci, Inst Geol & Geophys, Beijing 100029, Peoples R China
推荐引用方式 GB/T 7714	Chen, Chaojian,Ren, Zhengyong,Pan, Kejia,et al. Exact solutions of the vertical gravitational anomaly for a polyhedral prism with vertical polynomial density contrast of arbitrary orders[J]. GEOPHYSICAL JOURNAL INTERNATIONAL,2018,214(3):2115-2132.
APA	Chen, Chaojian.,Ren, Zhengyong.,Pan, Kejia.,Tang, Jingtian.,Kalscheuer, Thomas.,...&Li, Yang.(2018).Exact solutions of the vertical gravitational anomaly for a polyhedral prism with vertical polynomial density contrast of arbitrary orders.GEOPHYSICAL JOURNAL INTERNATIONAL,214(3),2115-2132.
MLA	Chen, Chaojian,et al."Exact solutions of the vertical gravitational anomaly for a polyhedral prism with vertical polynomial density contrast of arbitrary orders".GEOPHYSICAL JOURNAL INTERNATIONAL 214.3(2018):2115-2132.