基于单轴各向异性完全匹配层边界条件的ADI-FDTD三维GPR全波场正演
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Release time:2020-08-09
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;交替方向隐式有限差分法;单轴各向异性完全匹配层;正演
Abstract:基于交替方向隐式差分(ADI-FDTD)法突破了CFL稳定性条件的约束,具有无条件稳定性的特点,而单轴各向异性完全匹配层(UPML)边界条件具有宽频带吸收特性,不需要对电场和磁场进行分裂,迭代公式简单,便于编程的特点,提出基于UPML边界条件的ADI-FDTD三维探地雷达数值模拟算法;通过对三维Maxwell方程进行离散化,推导GPR波的ADI-FDTD及其UPML边界条件2个子时间步的迭代差分公式,以及计算步骤.开发ADI-FDTD三维模拟程序,并对三维复杂GPR模型进行正演模拟,分析该模型的剖面图,切片图及不同时刻6个分量的全波场快照.研究结果表明:由全波场快照可以了解雷达波形在空间中的传播过程及变化规律,有助于对雷达资料进行更可靠,更准确的解释;基于UPML边界条件的ADI-FDTD算法消除了截断边界处的强反射,能对三维复杂的GPR模型进行快速,高效模拟.
Co-author:谢源
First Author:冯德山
Indexed by:Applied Research
Document Code:1672-7207(2011)08-2363-09
Discipline:地质资源与地质工程
Document Type:J
Volume:42
Issue:8
Page Number:2363-2372
ISSN No.:1672-7207
Translation or Not:no
CN No.:43-1426/N
Date of Publication:2011-08-26
Included Journals:EI
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