基于UPML边界条件的交替方向隐式有限差分法GPR全波场数值模拟
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Release time:2020-08-09 DOI number:10.3969/j.issn.0001-5733.2010.10.022 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 Funded by:40804027；41074085；200805331082；09J3084；2008TP4013-2 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; 数值模拟 Abstract:交替方向隐式差分(ADI FDTD)法突破了Courand-Friedrich-Levy(CFL)条件的约束,具有无条件稳定的特点;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.综合两者优势,本文提出了基于UPML边界条件的ADI-FDTD探地雷达数值模拟算法,通过对3个二维Maxwell方程进行离散化,推导了GPR波的ADI-FDTD及其UPML边界条件的两个子时间步的迭代差分公式,并分别给出了详细计算步骤.在此基础上,开发了相应的模拟程序,应用该程序对两个GPR模型进行了正演模拟,得到了两个正演模型的wiggle图、扫描图与全波场快照.通过分析这些雷达剖面图与波场快照,可以了解雷达波形在空间中的传播过程及变化规律,有助于雷达资料更可靠、更准确的解释.模拟结果表明,基于UPML边界条件的ADI-FDTD算法可取较大的时间步长,消除了截断边界处的强反射,能对简单与复杂GPR模型进行快速、高效模拟. Co-author:戴前伟, 陈承申 First Author:冯德山 Indexed by:Applied Research Document Code:DOI：10.3969/j.issn.0001-5733.2010.10.022 Discipline:地质资源与地质工程 Document Type:J Volume:53 Issue:10 Page Number:2484-2496 ISSN No.:0001-5733 Translation or Not:no CN No.:11-2074/P Date of Publication:2010-10-15 Included Journals:SCI -
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