二度体的重力张量有限元正演模拟  

FINITE ELEMENT FORWARD SIMULATION OF THE TWO-DIMENSIONAL GRAVITY GRADIENT TENSOR

作　　者：朱自强[1] 曾思红[1] 鲁光银[1] 严文婕[2] 

机构地区：[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

出　　处：《物探与化探》2010年第5期668-671,685,共5页Geophysical and Geochemical Exploration

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。Gravity gradient tensor was introduced in this study,and the finite element method was applied to the two-dimensional 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 two-dimensional 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 two-dimensional body can be forwarded by mesh generation to approximate irregular borders and by assigning different densities to different elements.

关 键 词：复杂二度体 重力张量 有限元 正演模拟 

分 类 号：P631.1[天文地球—地质矿产勘探]