二维位场延拓的无网格方法研究  

Research on element free Galerkin method for 2-D potential field extension

作　　者：孔倩[1] 李鹏[1] 李晶 KONG Qian LI Peng LI Jing(School of Applied Mathematics and Physics,North China Electric Power University, Zhuozhou 071003, China BGP, CNPC,Baoding 072751, China)

机构地区：[1]华北电力大学数理学院,涿州071003 [2]中国石油东方地球物理公司,保定072751

出　　处：《物探化探计算技术》2017年第2期155-160,共6页Computing Techniques For Geophysical and Geochemical Exploration

基　　金：国家自然科学基金项目(11274111);河北省自然科学基金(F2015502014)

摘　　要：位场向上延拓可归纳为求解函数所满足的Laplace方程,将无网格Galerkin(EFG)方法推广到二维位场延拓的数值计算中,详细论述了EFG方法的基本原理和具体实施过程,建立了无网格Galerkin法求解的离散方程,并进行了数值求解。同时与有限差分(FD)法的数值结果进行了比较,两种方法的求解结果基本吻合。介绍了EFG方法的应用实例,理论模型和实例的数值结果表明,EFG方法在处理二维位场延拓问题时是有效的且具有实现简单的特点。The upward continuation of potential field can be induced to determine the function for satisfying the Laplace e-quation. The Element Free Galerkin （EFG） method is extended and employed for numerical computations of 2 - D potential field extension. The principle of the EFG method and its numerical implementation are described. The discrete equation of EFG method is built for 2 -D potential field extension. The results of our method are compared with that of finite difference （FD） method. Simulation results show that the proposed method and FD method have the same performances. In addition, a practical case is given in this paper. The theoretic and real numerical results show that EFG method is efficient and easy -implementa-tion in solving the problem of potential field extension.

关 键 词：位场延拓 无网格GALERKIN方法 有限差分法 正演计算 

分 类 号：P631.3[天文地球—地质矿产勘探]