基于露天开采地下盲空区探地雷达正演模拟及应用

doi:10.13722/j.cnki.jrme.2019.0357

摘要
图/表
参考文献
相关文章 (15)

全文: PDF (1661 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要金属矿山露天开采过程中经常遇到地下不明空区导致的安全隐患，探地雷达(ground penetrating radar，GPR)是探测不明空区主要的手段之一。针对GPR探测空区类型解译过程中容易出现误判和漏判现象，首先推导基于卷积完全匹配层的交替方向隐式时域有限差分算法(convolutional perfect matching layer-alternating direction implicit finite difference time domain，CPML-ADI-FDTD)的探地雷达正演公式及编写相关程序，进行ADI-FDTD算法与时域有限差分(finite difference time domain，FDTD)算法数值稳定性模拟实验，结果表明：ADI-FDTD算法可以突破传统FDTD算法时间尺度限制，提高了探地雷达正演效率。由此，建立三心拱巷道及其交叉巷道的正演模拟，通过频谱、功率谱及其瞬时相位对巷道充水情况、巷道汇合情况进行分析并得到相关的解译准则，最终进行了工程实例的推断和解译，钻探结果表明探地雷达探测解译结果与实际状况基本完全相吻合。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	杨道学1
	2
	赵奎1
	2
	曾鹏1
	2
	李瑞雪1
	2
	王晓军1
	2
	钟文1
	2
	龚囱1
	2

关键词 ：采矿工程, 盲空区, 探地雷达, 正演模拟, 交替方向隐式时域有限差分, 卷积完全匹配层

Abstract：During opencast mining of metal mines，hidden safety hazards caused by unknown underground airspaces are often encountered，and ground penetrating radar(GPR) detection of goaf is one of the commonly used means. Aiming at the misjudgment and omission in the interpretation of GPR detection airspace types，the alternating-direction implicit finite-difference time domain(CPML-ADI-FDTD) based on convolutional perfect matching layer and the related program were deduced，and the numerical simulation experiments of ADI-FDTD algorithm and finite difference time domain(FDTD) algorithm were carried out. The results show that ADI-FDTD algorithm can use a larger time scale to improve the forward modeling efficiency of ground penetrating radar. The forward simulation of a three-core arch roadway and its crossing roadway was established. Through spectrum，power spectrum and its instantaneous phase，the water-filling situation and the convergence of roadways were analyzed and the relevant interpretation criteria were obtained. Finally，An engineering example was deduced and interpreted，which was verified by the drilling results.

Key words： mining engineering blind underground cavity ground penetrating radar forward modeling alternating direction implicit finite difference time domain convolutional perfect matching layer

引用本文:

杨道学1，2，赵奎1，2，曾鹏1，2，李瑞雪1，2，王晓军1，2，钟文1，2，龚囱1，2. 基于露天开采地下盲空区探地雷达正演模拟及应用[J]. 岩石力学与工程学报, 2019, 38(11): 2288-2298.
YANG Daoxue1，2，ZHAO Kui1，2，ZENG Peng1，2，LI Ruixue1，2，WANG Xiaojun1，2，ZHONG Wen1，2，GONG Cong1，2. Forward modeling and application of ground penetrating radar in blind underground cavities of opencast mining. , 2019, 38(11): 2288-2298.

链接本文:

http://www.rockmech.org/CN/10.13722/j.cnki.jrme.2019.0357 或 http://www.rockmech.org/CN/Y2019/V38/I11/2288

[2]	高永涛，吴顺从. 露天采矿学[M]. 长沙：中南大学出版社，2010：1-2.(GAO Yongtao，WU Shuncong. Open pit mining[M]. Changsha：Central South University Press，2010：1-2.(in Chinese))
[4]	李大心. 探地雷达方法与应用[M]. 北京：地质出版社，1994：1-10.(LI Daxin. Methods and applications of ground penetrating radar[M]. Beijing：Geological Press，1994：1-10.(in Chinese))
[5]	SAJAD J，ANJA K，SARAH K. Improving estimates of buried pipe diameter and infilling material from ground-penetrating radar profiles with full-waveform inversion[J]. Geophysics，2018，83(4)：27-41.
[6]	粟毅，黄春琳，雷文太. 探地雷达理论与应用[M]. 北京：科学出版社，2006：1-6.(SU Yi，HUANG Chunlin，LEI Wentai. Theory and application of ground penetrating radar[M]. Beijing：Science Press，2006：1-6.(in Chinese))
[8]	LAVOUE F，BROSSIER R，METIVIER L，et al. Two-dimensional permittivity and conductivity imaging by full waveform inversion of multi offset GPR data：a frequency-domain quasi-Newton approach[J]. Geophysical Journal International，2014，197(1)：248-268.
[10]	方宏远，林皋. 基于辛算法模拟探地雷达在复杂地电模型中的传播[J]. 地球物理学报，2013，56(2)：653-659.(FANG Hongyuan，LIN Gao. Simulation of GPR wave propagation in complicated geoelectric model using simplistic method[J]. Chinese Journal of Geophysics，2013，56(2)：653-659.(in Chinese))
[12]	冯晅，邹立龙，刘财，等. 全极化探地雷达正演模拟[J]. 地球物理学报，2011，54(2)：349-357.(FENG Xuan，ZOU Lilong，LIU Cai，et al. Forward modeling for full polarimetric ground penetrating radar[J]. Chinese Journal of Geophysics，2011，54(2)：349-357.(in Chinese))
[14]	XUAN B A，DUAN Y T，CHEN B，et al. A novel ADI iterative algorithm for efficient 3-D WLP-FDTD method[J]. Journal of Electromagnetic Waves and Applications，2018，32(12)：145-156.
[9]	曾昭发，刘四新，冯晅. 探地雷达原理与应用[M]. 北京：电子工业出版社，2010：1-8.(ZENG Zhaofa，LIU Sixin，FENG Xuan. Principle and application of ground penetrating radar[M]. Beijing：Electronic Industry Press，2010：1-8.(in Chinese))
[16]	BERENGER J P. A perfectly matched layer for the absorption of electromagnetic waves[J]. Journal of Computational Physics，1994，114(2)：185-200.
[18]	CHEW W C，JIN J M，MICHIELSSEN E. Complex coordinate stretching as a generalized absorbing boundary condition[J]. Microwave and Optical Technology Letters，1997，15(6)：363-369.
[19]	RODEN J A，GEDNEY S D. Convolution PML(CPML)：An efficient FDTD implementation of the CFS-PML for arbitrary media[J]. Microwave and Optical Technology Letters，2000，27(5)：334-339.
[20]	李尧，李术才，徐磊，等. 隧道衬砌病害地质雷达探测正演模拟与应用[J]. 岩土力学，2016，37(12)：3 627-3 634.(LI Yao，LI Shucai，XU Lei，et al. Forward simulation of ground penetrating radar and its application to detection of tunnel lining diseases[J]. Rock and Soil Mechanics，2016，37(12)：3 627-3 634.(in Chinese))
[22]	刘宗辉，吴恒，周东，等. 频谱反演法在探地雷达隧道衬砌检测中的应用研究[J]. 岩土工程学报，2015，37(4)：711-717.(LIU Zonghui，WU Heng，ZHOU Dong，et al. Application of spectrum inversion method in GPR signal processing for tunnel lining detection[J]. Chinese Journal of Geotechnical Engineering，2015，37(4)：711-717.(in Chinese))
[1]	宋许根，陈从新，夏开宗，等. 程潮铁矿塌陷区周边地表变形扩展规律研究[J]. 岩石力学与工程学报，2018，37(2)：415-429.(SONG Xugen，CHEN Congxin，XIA Kaizong，et al. Study on ground deformation around collapse zone in Chengchao iron mine[J]. Chinese Journal of Rock Mechanics and Engineering，2018，37(2)：415-429.(in Chinese))
[3]	付华，陈从新，夏开宗，等. 金属矿山地下开采引起岩体变形规律浅析[J]. 岩石力学与工程学报，2015，34(9)：1 859-1 868.(FU Hua，CHEN Congxin，XIA Kaizong，et al. Analysis of rock deformation caused by underground mining of metal mines[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(9)：1 859-1 868.(in Chinese))
[13]	刘新荣，舒志乐，朱成红，等. 隧道衬砌空洞探地雷达三维探测正演研究[J]. 岩石力学与工程学报，2010，29(11)：2 221-2 229.(LIU Xinrong，SHU Zhile，ZHU Chenghong，et al. Study of forward simulation for ground penetrating radar three-dimensional detection of tunnel lining cavity[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(11)：2 221-2 229.(in Chinese))
[23]	刘敦文，古德生，徐国元，等. 采空区充填物探地雷达识别技术研究及应用[J]. 北京科技大学报，2005，27(1)：13-16.(LIU Dunwen，GU Desheng，XU Guoyuan，et al. Exploration study of gob filling by ground penetrating radar and its application[J]. Journal of University of Science and Technology Beijing，2005，27(1)：13-16.(in Chinese))
[7]	KLOTZSCHEl A，KRUK J，MELES G，et al. Cross hole GPR full-waveform inversion of waveguides acting as preferential flow paths within aquifer systems[J]. Geophysics，2012，77(4)：57-62.
[11]	冯德山，杨道学，王珣. 插值小波尺度法探地雷达数值模拟及四阶Runge-Kutta辅助微分方程吸收边界条件[J]. 物理学报，2016，65(23)：109-119.(FENG Deshan，YANG Daoxue，WANG Xun. Ground penetrating radar numerical simulation with Interpolating wavelet scales method and research on fourth-order Runge-Kutta auxiliary differential equation perfectly matched layer[J]. Acta Physica Sinica，2016，65(23)：109-119.(in Chinese))
[15]	WANG B Z，WANG Y J，YU W H，et al. A hybrid 2D ADI-FDTD sub-gridding scheme for modeling on chip interconnects[J]. IEEE Transactions on Advanced Packaging，2001，24(4)：528-533.
[17]	SACKS Z S，KINGSLAND D M，LEE R，et al. A perfectly matched anisotropic absorber for use as an absorbing boundary condition[J]. IEEE Transactions on Antennas and Propagation，1995，43(8)：1 460- 1 463.
[21]	舒志乐，刘新荣，朱成红，等. 隧道衬砌空洞探地雷达三维探测模型试验研究[J]. 岩土力学，2011，32(增1)：551-559.(SHU Zhile，LIU Xinrong，ZHU Chenghong，et al. Study of model test about 3D GPR detection of tunnel lining cavity[J]. Rock and Soil Mechanics，2011，32(Supp.1)：551-559.(in Chinese))
[25]	杨道学. 基于四阶龙格库塔插值尺度算法的探地雷达正演模拟[硕士学位论文][D]. 长沙：中南大学，2018.(YANG Daoxue. GPR forward modeling based on Four-order Runge-Kutta interpolating scaling functions method[M. S. Thesis][D]. Changsha：Central South University，2018.(in Chinese))
[24]	葛德彪，闫玉波. 电磁波时域有限差分方法[M]. 西安：西安电子科技大学出版社，2011：1-200.(GE Debiao，YAN Yubo. Finite difference time domain method for electromagnetic wave[M]. Xi?an：Xi?an University of Electronic Science and Technology Press，2011：1-200.(in Chinese))