频率域航空电磁三维矢量有限元正演模拟

发布时间：2018-01-15 03:10

本文关键词：频率域航空电磁三维矢量有限元正演模拟　出处：《地球科学》2016年02期 　论文类型：期刊论文

【摘要】：目前有限元技术的开发及在电磁勘查技术中的应用已日趋成熟.然而,有限元正演模拟主要集中于地面和海洋电磁,航空电磁三维有限元模拟尚没有受到足够重视.以前人工作为基础,利用结构化网格实现了航空电磁系统的三维矢量有限元正演模拟.从二次场双旋度矢量非齐次亥姆霍兹方程出发,应用广义变分原理推导出变分方程,并采用六面体单元剖分,将场置于单元棱边上,对每个单元应用线性插值,最后合成含有稀疏矩阵的线性方程组.针对航空电磁多源性问题,利用MUMPS(multifrontal massively parallel sparse direct solver)直接求解器进行求解,在保证精度的前提下大幅度提高计算速度.利用单个异常体模型检验算法的精度和软件的稳定性,进而通过典型地电模型的模拟验证算法的有效性.对不同地下电性结构正演模拟结果进行对比分析,进一步研究了覆盖层和垂直接触带等典型构造对航空电磁响应的影响特征.
[Abstract]:At present, the development of finite element technology in electromagnetic prospecting and application technology has become increasingly mature. However, finite element numerical simulation mainly focuses on the ground and marine electromagnetic, airborne electromagnetic 3D finite element simulation has not received enough attention. The previous manual as the basis, the airborne electromagnetic system of 3D vector finite element numerical simulation using structured grid from the two field of double curl vector non homogeneous Helmholtz equation, generalized variational principle is derived using variational equation, and hexahedral element subdivision, the field edge of a unit, each unit using linear interpolation, the final synthesis of linear equations with sparse matrix. The problem of airborne electromagnetic sources the use of MUMPS (multifrontal massively, parallel sparse direct solver) was used to solve the direct solver, under the premise of ensuring the accuracy greatly improve the calculation speed. The stability of single anomaly model checking algorithm and the precision of the software, and the effectiveness is verified through simulations. The algorithms of typical geoelectric models of different underground electrical structure simulation results were analyzed, further study of the covering layer and vertical contact with typical structural characteristics of influence of airborne electromagnetic response.

【作者单位】：吉林大学地球探测科学与技术学院;
【基金】：国家自然科学基金项目(Nos.41274121;41530320) 中国科学院重大科研装备研制项目(No.ZDYZ2012-1-03)
【分类号】：P631.326
【正文快照】： 航空电磁法自20世纪40年代末(Pemberton,1962;Fountain,1998)发展至今,以其独特的优势(具有成本低、速度快、通行性好、适用于大面积勘探、无需地面人员等优点,特别适合一些地形条件复杂地区,如高山、沙漠、湖泊、沼泽等),被广泛应用于矿产勘查(Fraser,1981;Yin and Hodges,20

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