%0 Journal Article %T Finite element modeling of 3-D DC resistivity using locally refined unstructured meshes
基于局部加密非结构化网格的三维电阻率法有限元数值模拟 %A REN Zheng-Yong %A TANG Jing-Tian %A
任政勇 %J 地球物理学报 %D 2009 %I %X This paper briefly reviewed the disadvantages of commonly used structured meshes in geophysical fields. We introduced a new unstructured mesh based on Delaunay refinement algorithm to efficiently approximate the geometrically complex model boundaries. Additionally, we proposed a new local nodal refinement method. Based on our new algorithm, we have implemented the automatic mesh generation on complex geological models by unstructured mesh and also offered the highly accurate numerical solutions in 3D DC resistivity problem. The final numerical solutions show that the singularity effects of current source point can be efficiently avoided and the new local nodal refinements approach can efficiently upgrade the accuracy of numerical solutions. Therefore, we can conclude that the new local refinement is nearly optimal and its combination with second order mesh can give us very accurate numerical solutions. %K Unstructured mesh %K Delaunay algorithm %K Local mesh refinement %K Direct current resistivity %K Second-order element
非结构化网格 %K Delaunay算法 %K 网格局部加密 %K 直流电阻率 %K 二次单元 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=E62459D214FD64A3C8082E4ED1ABABED5711027BBBDDD35B&cid=1E44AE713D8A6DE0&jid=14DC41C59CBF6770055A7D610D53AE46&aid=80E2EE1ADFD12D30C114EF0AFBAE22E6&yid=DE12191FBD62783C&vid=286FB2D22CF8D013&iid=F3090AE9B60B7ED1&sid=9036AEAF06C29D94&eid=AF4CA81659CBBE56&journal_id=0001-5733&journal_name=地球物理学报&referenced_num=1&reference_num=26