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Three-dimensional forward modeling for magnetotelluric sounding by finite element method
  • ISSN号:0001-5733
  • 期刊名称:《地球物理学报》
  • 时间:0
  • 分类:O441[理学—电磁学;理学—物理] O241.82[理学—计算数学;理学—数学]
  • 作者机构:[1]School of Info-physics and Geomatics Engineering, Central South University, Changsha 410083, China
  • 相关基金:Project(60672042) supported by the National Natural Science Foundation of China
中文摘要:

与分叉状况相结合的一个有限元素算法为计算被介绍三维(3D ) 磁电机碲的前面的建模。三维的磁电机的有限元素方程碲的前面的建模用一般变化原则从麦克斯韦的方程被导出。分叉条件强迫地被加到电场边界值问题,它使解决方案正确。有限元素算法的方程的系统是一大稀少,有条纹的,对称,性恶, non-Hermitian 建筑群矩阵方程,它能用 Bi-CGSTAB 方法被解决。为了向前证明三维的磁电机的正确性碲,算法,计算结果和一个维的 geo 电的模型的分析结果被比较。另外,碲的前面的算法被计算 COMMEMI 给进一步的评估的三维的磁电机当模特儿。向前当模特儿的结果证明算法是很有效的,并且它有很多优点,例如高精确,解决问题,自动地满足内部边界条件并且适应多物质的各种分发的正规过程。

英文摘要:

A finite element algorithm combined with divergence condition was presented for computing three-dimensional(3D) magnetotelluric forward modeling. The finite element equation of three-dimensional magnetotelluric forward modeling was derived from Maxwell's equations using general variation principle. The divergence condition was added forcedly to the electric field boundary value problem, which made the solution correct. The system of equation of the finite element algorithm was a large sparse, banded, symmetric, ill-conditioned, non-Hermitian complex matrix equation, which can be solved using the Bi-CGSTAB method. In order to prove correctness of the three-dimensional magnetotelluric forward algorithm, the computed results and analytic results of one-dimensional geo-electrical model were compared. In addition, the three-dimensional magnetotelluric forward algorithm is given a further evaluation by computing COMMEMI model. The forward modeling results show that the algorithm is very efficient, and it has a lot of advantages, such as the high precision, the canonical process of solving problem, meeting the internal boundary condition automatically and adapting to all kinds of distribution of multi-substances.

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期刊信息
  • 《地球物理学报》
  • 北大核心期刊(2011版)
  • 主管单位:中国科学院
  • 主办单位:中国地球物理学会 中国科学院地质与地球物理研究所
  • 主编:刘光鼎
  • 地址:北京9825信箱
  • 邮编:100029
  • 邮箱:actageop@mail.igcas.ac.cn
  • 电话:010-82998105
  • 国际标准刊号:ISSN:0001-5733
  • 国内统一刊号:ISSN:11-2074/P
  • 邮发代号:2-571
  • 获奖情况:
  • 首届国家期刊奖,第二届国家期刊奖,中国期刊方阵“双高”期刊,第三届中国出版政府奖
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  • 被引量:31618