Magnetotelluric three-dimensional forward modeling by meshfree point interpolation method

2018 2nd International Workshop on Renewable Energy and Development

能源学;经济学

Li, Jun-Jie^1 ; Hong-Gang, Zhang^1 ; Hong-Lei, Zhu^1

Zhejiang Design Institute of Water Conservancy and Hydroelectric Power, Hangzhou, Zhejiang

310002, China^1

关键词: Approximate principle;    Forward modeling;    Loading technique;    Mesh-free method;    Numerical algorithms;    Numerical calculation;    Point interpolation method;    Variational problems;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/153/4/042003/pdf
DOI  :  10.1088/1755-1315/153/4/042003

来源: IOP

【 摘 要 】

As an important supplement and development of mesh method numerical calculation, meshfree method is a kind of new numerical algorithm in last decade. Point interpolation method(PIM), as a simple and efficient meshfree method, avoids the mesh generation and has obtained many good results in the field of computational mechanics. This paper devotes PIM to magnetotelluric three-dimensional forward modeling, introduces the approximate principle of PIM in detail, and deduces the discrete system matrix expression which corresponding to the magnetotelluric three-dimensional variational problem by combining the Galerkin method and the gauss integral formula, then the boundary conditions of loading technique is briefly introduced. The effectiveness of three-dimensional PIM is verified by the numerical calculation of several models.