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两种新的长方体重力场正演表达式及其理论推导
引用本文:骆遥. 两种新的长方体重力场正演表达式及其理论推导[J]. 工程地球物理学报, 2008, 5(2): 210-214
作者姓名:骆遥
作者单位:中国科学院,地质与地球物理研究所,北京,100029;中围科学院,研究生院,北京,100049
摘    要:在前人推导长方体重力场正演理论表达式工作的基础上,系统总结了现有长方体重力异常正演理论表达式;借鉴长方体磁异常正演理论表达式推导中积分求解方法,重新对长方体重力场正演理论表达式进行理论推导,提出了两种全新的长方体重力异常正演公式形式,并给出了全部的积分求解过程,对比模型正演计算结果表明,新导出长方体重力场正演理论表达式的正确。

关 键 词:长方体  重力场  正演  积分
文章编号:1672-7940(2008)02-0210-05
修稿时间:2007-09-14

New Expressions for Gravitational Attraction of a Homogeneous Rectangular Prism and Its Deduction
Luo Yao. New Expressions for Gravitational Attraction of a Homogeneous Rectangular Prism and Its Deduction[J]. Chinese Journal of Engineering Geophysics, 2008, 5(2): 210-214
Authors:Luo Yao
Affiliation:Luo Yao (1. Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China 2. Graduate University of the Chinese Academy of Sciences, Beijing 100049, China)
Abstract:On the basis of study on gravity and magnetic anomalies due to a homogeneous rectangular prism,we deduce expressions for gravity field due to a homogeneous rectangular prism,and obtained new analytical expressions for computing gravity anomalies caused by a cuboid.Expressions for gravitational attraction of a homogeneous rectangular prism are developed explicitly.Comparison with forward calculation of models shows that,these new expressions are correct.
Keywords:rectangular prism  gravitational field  forward calculation  integral
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