基于混合边界条件的有限单元法GPR正演模拟
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Release time:2020-08-08 Impact Factor:0.829 DOI number:10.6038/j.issn.0001-5733.2012.11.024 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:探地雷达；有限单元法；混合边界条件；Sarma边界条件；正演模拟 Abstract:从Maxwell方程组出发,推导了探地雷达(GPR)有限元波动方程.阐述了透射边界条件和Sarma边界条件的原理,推导了这两种边界条件的理论公式;通过在衰减层内加入过渡带优化了Sarma边界条件的加载方法,压制了介质区和衰减层交界面处的人为反射.考虑到透射边界条件与Sarma边界条件不同的理论机制,提出了一种结合透射边界条件和Sarma边界条件的混合边界条件,它利用Sarma边界条件对到达边界区域的GPR波能量衰减功能和透射边界对GPR波能量的透射功能,使GPR波经过Sarma边界条件的衰减吸收后,再通过透射边界条件将剩余能量透射出去,集成了二者的优势.并以二维均匀模型中的中心脉冲激励源方式为例,通过Matlab程序实现,以GPR的全波场快照的直观方式,对比了有,无边界条件及不同边界条件对人工截断边界的处理效果,说明了该混合边界条件对到达截断边界处的GPR波的处理优于单一边界条件.最后,以基于混合边界条件的有限单元法对两个典型的GPR地电模型进行了正演模拟,指导了GPR数据处理与工程实践. Co-author:陈承申, 王洪华 First Author:冯德山 Indexed by:Applied Research Document Code:DOI：10.6038/j.issn.0001-5733.2012.11.024 Volume:55 Issue:11 Page Number:3774-3785 ISSN No.:0001-5733 Translation or Not:no CN No.:11-2074/P Date of Publication:2012-11-24 Included Journals:SCI -
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