二度体的重力张量有限元正演模拟
朱自强1 ,曾思红1 ,鲁光银1 ,严文婕2
1.中南大学 信息物理工程学院,湖南 长沙410083;2.江苏省有色金属华东地质勘查局,江苏 南京 210007
FINITE ELEMENT FORWARD SIMULATIONOF THE TWODIMENSIONAL GRAVITY GRADIENT TENSOR
ZHU Zi-qiang 1 , ZENG Si-hong 1 , LU Guang-yin 1 , YAN Wen-jie 2
1. School of Infophysics and Geomatics Engineering, Central South University, Changsha410083, China; 2. East China Mineral Exploration & Development Bureau for Nonferrous Resources, Nanjing210007, China
摘要 介绍了重力梯度张量,并将有限单元法应用于二维重力梯度张量的正演计算。为了验证有限
元正演方法的精度,对截面为矩形的两个二度体组合模型进行有限元正演模拟,结果表明正演曲线
与理论曲线形态一致,拟合情况好。通过对截面形状不规则、密度分块均匀的二度体进行正演模拟
,说明有限元法可通过网格剖分来逼近不规则目标体的边界,并对剖分单元赋予不同的密度值来实
现对复杂二度体的重力张量的正演模拟。
Abstract :Gravity gradient tensor was introduced in this study, and the finite element method was
applied to the twodimensional gravity gradient tensor forward. In order to prove the correctness of the
finite element method, the authors comparatively studied the forward result and analytical solution of
a twodimensional body whose cross section is the combination of two rectangles. It can be seen that
the forward result is well consistent with the FEM numerical solution. Through forwarding the two
dimensional body which has irregular cross section and homogeneous density in each element, the
authors have concluded that the complex twodimensional body can be forwarded by mesh
generation to approximate irregular borders and by assigning different densities to different elements.
出版日期: 2010-10-15
通讯作者:
朱自强(1964-),男,教授,博导,主要研究方向为重磁正反演.
引用本文:
朱自强, 曾思红, 鲁光银, 严文婕. 二度体的重力张量有限元正演模拟[J]. 物探与化探, 2010, 34(5): 668-671.
SHU Zi-Jiang, CENG Sai-Gong, LU Guang-Yin, YAN Wen-Jie. FINITE ELEMENT FORWARD SIMULATIONOF THE TWODIMENSIONAL GRAVITY GRADIENT TENSOR. Geophysical and Geochemical Exploration, 2010, 34(5): 668-671.
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