基于双二次插值的探地雷达有限元数值模拟
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Release time:2020-08-09 DOI number:10.6038/j.issn.1004-2903.2012.02.041 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:地球物理学进展 Place of Publication:中国 Funded by:41074085；40804027；No.2011sxt055；CS2010B052 Key Words:二次插值；有限元；数值模拟；探地雷达 Abstract:从探地雷达(GPR)满足的波动方程出发,详细介绍了二维GPR模型单元剖分、二次插值、数值积分和有限元刚度矩阵总体合成的GPR有限元求解过程.为解决数值模拟时截断边界处的超强反射,采用Clay Bout透射边界条件对雷达波进行衰减,进而压制了来自截断边界处的反射波.在满足时间步长与空间网格差分稳定性前提下,采用中心差分法对GPR有限元方程进行离散,并用不完全LU分解预处理的BICGSTAB算法求解系数方程组,然后编制了基于双二次插值的GPR有限元正演模拟matlab程序.运用该程序分别对矩形和"V"字形两个典型地电模型进行正演计算,得到了正演剖面图,将该正演剖面图与基于线性插值的FEM算法的正演剖面图做了对比分析.结果表明基于双二次插值FEM算法相比基于双线性插值FEM算法异常响应更明显,具有更高的模拟精度,更有利于指导雷达剖面的数据解译. Co-author:王洪华, 冯德山, 陈德鹏 First Author:戴前伟 Indexed by:Applied Research Document Code:DOI：10.6038/j.issn.1004-2903.2012.02.041 Discipline:地质资源与地质工程 Document Type:J Volume:27 Issue:2 Page Number:736-743 ISSN No.:1004-2903 Translation or Not:no CN No.:11-2982/P Date of Publication:2012-04-15 -
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