有限单元法在二维位场延拓中的应用  

Application of FEM to Two-dimensional Potential Field Extension

作　　者：宋滔[1] 罗勇[1] 王宇航[1] 

机构地区：[1]成都理工大学地球物理学院,四川成都610059

出　　处：《工程地球物理学报》2012年第2期134-138,共5页Chinese Journal of Engineering Geophysics

基　　金：国家高技术研究发展计划(863计划)(编号:2009AA06Z108)资助

摘　　要：对二维位场的向上延拓问题,在第一类边界条件下,通过等比延伸,将远边界取为无穷远。为了适应起伏地形,使用三角网格剖分,采用双线性插值方式,使用有限单元法求解。探讨泛函方程的推导、单元分析和对方程的求解。对比起伏地形下理论值和使用有限元的延拓解,曲线形态和值的大小基本吻合,证明了方法的正确性。As for the two-dimensional potential field upward continuation,under the first boundary condition,the far boundary is taken as infinity through the equal extension.To adapt to the earth topography,the triangular mesh generation,bilinear interpolation method and finite element method are used.Then the derivation of the functional equation,the analysis of the element analysis and the solution of the equation are discussed.Finally,the theoretical value and the result of FEM extension are compared in the case of rolling topography,the shape of the curve and the size of the value are almost in agreement,which proves the correctness of the method.

关 键 词：位场 向上延拓 起伏地形 有限单元法 无穷远 

分 类 号：P631.2[天文地球—地质矿产勘探]