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.
出处
《物探与化探》
CAS
CSCD
北大核心
2010年第5期668-671,685,共5页
Geophysical and Geochemical Exploration
关键词
复杂二度体
重力张量
有限元
正演模拟
complex two-dimensional body
gravity gradient tensor
finite element method
forward simulation
