基于三角形剖分的复杂GPR 模型有限元法正演模拟
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Release time:2020-08-08 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:中南大学学报(自然科学版) Place of Publication:中国 Key Words:探地雷达；有限单元；三角剖分；透射边界条件 Abstract:针对基于矩形网格剖分的时域有限差分法(FDTD)和有限单元法(FEM),对于物性参数分布复杂或几何特征不规则的模型适应性差的问题,从雷达波所满足的Maxwell方程出发,推导探地雷达(GPR)有限元波动方程,通过采用三角形网格剖分和线性插值基函数,在满足时间步长与空间网格差分稳定性前提下,应用Galerkin有限单元法求解GPR波波动方程;同时为消除FEM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,进而压制来自截断边界处的反射波.然后,编制GPR有限元正演模拟的Matlab程序.应用该程序分别对起伏分界面,"V"字形2个复杂地电模型进行FEM正演模拟,得到基于三角形网格剖分的FEM正演模拟GPR剖面图,并把该正演模拟剖面图与常规的基于矩形剖分的FEM正演模拟剖面图进行对比,结果表明:基于三角形剖分的FEM对于复杂GPR模型的物性参数分界面拟合更好,其模拟所得的正演剖面与实际模型更相符,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:陈德鹏, 王洪华 First Author:戴前伟 Indexed by:Applied Research Correspondence Author:冯德山 Document Code:1672-7207(2012)07-2668-06 Discipline:地质资源与地质工程 Document Type:J Volume:43 Issue:7 Page Number:2668-2673 ISSN No.:1672-7207 Translation or Not:no CN No.:43-1426/N Date of Publication:2012-07-27 Included Journals:EI -
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