Meshfree Method in Geophysical Electromagnetic Prospecting: The 2D Magnetotelluric Example
Meshfree Method in Geophysical Electromagnetic Prospecting: The 2D Magnetotelluric Example
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地球物理电磁勘探中的无网格方法：二维大地电磁示例
DOI：
10.1142/s0219876217500840
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发表时间：
2018-03
影响因子：
1.7
通讯作者：
Wanyu Huang
中科院分区：
文献类型：
--
作者：
Yanju Ji;Tingzhe Huang;Wanyu Huang
无网格方法作为传统方法的重要补充和发展，在工程计算领域受到了广泛的关注，并已成功用于解决许多传统方法难以解决的问题。但无网格方法在地球物理领域的应用相对较少。本文将无网格方法应用于地球物理电磁勘探数值模拟中，以二维大地电磁为例，详细推导了相应的无网格径向点插值法（RPIM）等效线性方程组。采用基于Krylov子空间的拟最小残差法高效、准确地求解大规模稀疏线性方程组。通过数值实验给出了形状参数的最佳值。通过分层模型验证了无网格方法的正确性。计算结果均方根误差不大于0...
As an important supplement and development of traditional methods, the meshfree method has received a great deal of attention in the field of engineering calculation, and has been successfully used to solve many problems which traditional methods have difficulty in solving. However, the application of meshfree method is relatively less in the area of geophysics. In this paper, we apply the meshfree method to the numerical simulation of geophysical electromagnetic prospecting, taking the 2D magnetotelluric as an example and deduce the corresponding meshfree radial point interpolation method (RPIM) equivalent linear equations in detail. The high-efficiency and accurate solutions of large-scale sparse linear equations are solved by the quasi-minimal residual method based on Krylov subspace. The optimal values of the shape parameters are given by numerical experiments. The correctness of the meshfree method is verified by a layered model. The root mean square error of the calculation results is no more than 0...
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影响因子：
2.1
作者：
Yoshikazu Tanaka;Sho Watanabe;T. Oko
通讯作者：
Yoshikazu Tanaka;Sho Watanabe;T. Oko
DOI：
10.1090/s0025-5718-99-01102-3
发表时间：
1999-10
期刊：
Math. Comput.
影响因子：
--
作者：
H. Wendland
通讯作者：
H. Wendland
DOI：
--
发表时间：
2006
期刊：
--
影响因子：
--
作者：
J. Xiaofeng;Hu Tianyue;Wang Runqiu
通讯作者：
J. Xiaofeng;Hu Tianyue;Wang Runqiu
影响因子：
2.8
作者：
J. Wittke;B. Tezkan
通讯作者：
J. Wittke;B. Tezkan
影响因子：
4.1
作者：
Liu, GR;Zhang, GY;Wang, YY
通讯作者：
Wang, YY