基于无单元Galerkin法探地雷达正演模拟
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Release time:2020-08-08 Impact Factor:0.829 DOI number:10.6038/cjg20130131 Affiliation of Author(s):中南大学地球科学与信息物理学院 Teaching and Research Group:中南大学应用地球物理系 Journal:地球物理学报 Place of Publication:中国 Key Words:无单元Galerkin；滑动最小二乘法；探地雷达；正演模拟 Abstract:无单元Galerkin法采用滑动最小二乘法拟合场函数,只需节 点无需单元,具有前处理简单,精度高,解高次连续等优点,被用于求解探地雷达(GPR)正问题.本文从Maxwell方程出发,推导了GPR正演需满足的 波动方程;详细介绍了滑动最小二乘法形函数的构造方法.针对EFGM不满足插值条件导致强加边界条件的处理变复杂的特性,采用罚因子法对强加边界条件进行 了处理;同时为了消除EFGM进行GPR正演模拟时来自截断边界处的超强反射,采用透射边界条件把GPR波在截断边界处的反射波透射出去,进而压制了来自 截断边界处的反射波.然后,编制了EFGM的GPR正演模拟Matlab程序,应用该程序对典型GPR地电模型进行了正演模拟,并把该正演剖面图与基于线 性插值FEM正演剖面图进行了对比,结果表明了EFGM用于GPR正演计算的正确性及有效性,并且在相同节点数条件下,EFGM比矩形剖分的FEM的精度 要高,更有利于指导雷达剖面的数据解译。 Co-author:王洪华, 戴前伟 First Author:冯德山 Indexed by:Applied Research Document Code:DOI：10.6038/cjg20130131 Discipline:地质资源与地质工程 Document Type:J Volume:56 Issue:1 Page Number:298-308 ISSN No.:0001-5733 Translation or Not:no CN No.:11-2074/P Date of Publication:2013-01-05 Included Journals:SCI -
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