基于非结构化单元的磁场及梯度模拟计算  

Simulation of Magnetic Field and Gradient by Using Unstructured Grids

作　　者：刘长生 张芙蓉[2] LIU Chang-sheng;ZHANG Fu-rong(Hunan Provincial Engineering Research Center far Aircraft Maintenance,Changsha Hunan 410124;Changsha Aeronautical Vbcational and Technical College,Changsha Hunan 410124)

机构地区：[1]湖南省飞机维修工程技术研究中心飞机智能制造技术研究室,湖南长沙410124 [2]长沙航空职业技术学院,湖南长沙410124

出　　处：《长沙航空职业技术学院学报》2021年第2期37-41,共5页Journal of Changsha Aeronautical Vocational and Technical College

基　　金：2019年湖南省自然科学基金科教联合项目“基于自适应多层快速多极算法的大规模磁法正演模拟”(编号:2019JJ70025)阶段性研究成果。

摘　　要：在地球物理磁法勘探中,磁场及其梯度张量数据是磁法正反演及解释的重要基础。本文结合磁梯度张量解析解表达式,实现了一种基于非结构化四面体单元的磁场及梯度模拟计算方法,该方法弥补了传统方法难以处理任意复杂模型的缺陷,同时大幅提高了模拟计算精度。首先,采用非结构化单元剖分异常体可以显著地减小几何误差,更好地模拟带地形复杂模型。其次,采用新的磁梯度张量解析解表达式,其精度比传统的有限元、有限差分方法更高。本文设计了单个球体模型和组合体模型,模拟计算结果体现了该方法的适用性和准确性。In geophysics,magnetic field and its gradient tensor data are the important basis of magnetic interpretation.In this paper,a simulation method of magnetic field and gradient based on unstructured tetrahedral element is presented by using analytic solution expression of magnetic gradient tensor.This method makes up for the shortcoming of traditional method which cannot deal with any complex model,and at the same time,the simulation accuracy is greatly improved.Firstly,the geometrical error can be obviously reduced by using unstructured element to dissect the anomalous body,and the terrain model with complex terrain can be better simulated.Secondly,the new tensor analytical solution of magnetic gradient is adopted,and its accuracy is higher than that of the traditional finite element and finite difference methods.In this paper,a single sphere model and a combined body model are designed.The simulation results show the applicability and accuracy of the method.

关 键 词：磁梯度张量解析解 四面体单元 复杂模型 

分 类 号：P631.2[天文地球—地质矿产勘探]