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Volume 45 Issue 2
Apr.  2026
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Article Contents
PAN Hongxu, LYU Yuzeng, ZHAO Rongchun, LU Jieming, ZHAO Dewei. Application of microtremor exploration for karst investigation in the construction area of a highway,Guangxi[J]. CARSOLOGICA SINICA, 2026, 45(2): 302-315, 328. doi: 10.11932/karst20260203
Citation: PAN Hongxu, LYU Yuzeng, ZHAO Rongchun, LU Jieming, ZHAO Dewei. Application of microtremor exploration for karst investigation in the construction area of a highway,Guangxi[J]. CARSOLOGICA SINICA, 2026, 45(2): 302-315, 328. doi: 10.11932/karst20260203

Application of microtremor exploration for karst investigation in the construction area of a highway,Guangxi

doi: 10.11932/karst20260203
  • Received Date: 2025-09-05
  • Accepted Date: 2026-04-16
  • Rev Recd Date: 2026-03-24
  • Karst collapses are major geological hazards that severely threaten the safety of engineering infrastructure due to their concealed nature, complex formation mechanisms, and sudden occurrence. These hazards are particularly prevalent in regions with extensive carbonate rock exposure and active groundwater systems, such as southwest China. Detecting and characterizing concealed karst features with high accuracy is a critical challenge for geotechnical engineering and hazard prevention. This study systematically investigates the application of microtremor exploration technique for detailed karst detection and evaluates its effectiveness through a case study of a collapse-prone section of a highway in Rong’an County, Guangxi, China.Karst terrains are formed by the chemical dissolution of carbonate rocks under hydrodynamic and climatic conditions, covering large areas worldwide and creating complex subsurface environments prone to hazards such as sinkholes, subsidence, and uneven settlement. Traditional methods for karst detection, including geological mapping, borehole drilling, and geophysical surveys, face limitations in urban or densely populated areas. Geological surveys often lack precision for concealed voids; drilling provides direct evidence but is expensive and spatially discontinuous; and conventional geophysical techniques, such as electrical resistivity tomography, seismic refraction, and ground-penetrating radar, suffer from shallow penetration, sensitivity to noise, or operational constraints in complex environments. Microtremor exploration, which uses ambient vibrations as the natural energy source, has emerged as a promising non-invasive alternative. This technique extracts Rayleigh-wave dispersion characteristics from recorded microtremor signals and applies inversion algorithms to construct subsurface shear-wave velocity models. Since karst cavities and dissolution zones exhibit low density and reduced rigidity, they appear as low-Vs anomalies, providing a diagnostic indicator for detection.The research area lies within a complex structural zone at the southern margin of the Jiangnan ancient landmass, characterized by multiple folding and faulting events. The lithology includes thick sequences of limestone, dolomite, and marl interbedded with clastic sediments, creating ideal conditions for karst development. Abundant fractures and active groundwater circulation further accelerate dissolution processes. During construction of Pier No. 1 on an elevated highway bridge, sudden ground collapse and adjacent building cracks occurred, indicating active subsurface karst processes. The site posed challenges for conventional surveys due to dense residential housing, high traffic flow, and limited space for large-scale instrument deployment, making microtremor exploration the preferred choice. A linear microtremor array configuration was adopted to balance detection resolution and operational efficiency under spatial constraints. Thirteen stations were deployed with a 2 m spacing along two profiles: Line 1 (100 m length) crossing a known collapse zone and Line 2 (20 m length) near damaged residential buildings. Each station was precisely positioned using Real-Time Kinematic (RTK) GPS to achieve centimeter-level accuracy. Special attention was given to station−ground coupling through excavation and backfilling with clay for loose soils or gypsum bonding for hard surfaces. Continuous microtremor recordings were acquired for 15 minutes per station, ensuring adequate signal quality and noise suppression.Data preprocessing involved noise filtering, Fourier and wavelet spectral analysis, and bandpass filtering to enhance signal fidelity. Rayleigh-wave dispersion curves were extracted using the Extended Spatial Autocorrelation (ESPAC) method, which improves resolution for complex arrays through multi-station cross-correlation and Bessel function fitting. Nonlinear inversion was performed using a genetic algorithm, iteratively adjusting model parameters until synthetic and observed dispersion curves achieved optimal fit. The final Vs models were visualized using contour mapping to highlight lateral and vertical heterogeneities. Profile analysis revealed distinct four-layer stratigraphy: (1) 2 to 3 m thick Quaternary fill and fluvial-alluvial clayey soil (Vs = 100 to 220 m·s−1); (2) 3 to 8 m thick strongly weathered limestone (Vs = 220 to 340 m·s−1); (3) Moderately weathered limestone (Vs = 340 to 460 m·s−1); (4) Weakly weathered limestone and unweathered limestone (Vs = 460 to 1180 m·s−1). Multiple low-Vs anomalies (100 to 340 m·s−1) were identified within the bedrock, appearing as funnel-shaped or Y-shaped zones extending to depths of 8 to 23 m. Line 1 revealed five major anomalies, including a continuous 50 m-long zone at 8 to 16 m depth corresponding to known collapse locations. Line 2 detected a prominent Y-shaped anomaly beneath cracked buildings, indicating dissolution conduits and fracture networks linked to uneven settlement.Borehole verification at key anomaly locations confirmed the presence of karst features. For example, borehole ZK1 intersected cavities and fractures filled with severely fractured and disintegrated limestone at 10 to 14 m depth, matching the Line 1 anomaly. Similarly, borehole ZK2 intersected poorly consolidated material at 12 to 14 m depth within the Line 2 anomaly. These findings validate the reliability of microtremor exploration in delineating karst features with high accuracy. Compared with conventional methods, microtremor exploration demonstrated clear advantages: (1) Strong spatial resolution for identifying both horizontal and vertical karst structures; (2) Adaptability to urban environments without the need for artificial seismic sources; and (3) Minimal environmental impact. However, limitations include sensitivity to station coupling and reduced resolution for deep structures, the future research are suggested focusing on the multi-array joint inversion and low-frequency enhancement techniques. This study demonstrates the microtremor exploration technique, combined with ESPAC dispersion analysis and genetic algorithm inversion, provides an effective and non-invasive approach for high-resolution karst detection in complex environments. The method successfully identified concealed cavities, dissolution channels, and fracture zones that were later confirmed by drilling. Its proven capability to operate under space-constrained and noise-prone conditions makes it an essential tool for risk assessment and hazard mitigation in engineering projects across karst terrains.

     

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  • [1]
    钟亮, 张春来, 胡芬, 曹建华. 基于Web of Science的岩溶碳循环及碳汇效应研究动态分析[J]. 中国岩溶, 2024, 43(4): 766-779,809.

    Zhong Liang, Zhang Chunlai, Hu Fen, Cao Jianhua. Analysis of development trend of karst carbon cycle and carbon sink effect based on Web of Science[J]. Carsologica Sinica, 2024, 43(4): 766-779, 809.
    [2]
    Belay Zerga. Karst topography: Formation, processes, characteristics, landforms, degradation and restoration: A systematic review[J]. Watershed Ecology and the Environment, 2024, 6: 252-269. doi: 10.1016/j.wsee.2024.10.003
    [3]
    Wang Kelin, Zhang Chunhua, Chen Hongsong, Yue Yueming, Zhang Wei, Zhang Mingyang, Qi Xiangkun, Fu Zhiyong. Karst landscapes of China: Patterns, ecosystem processes and services[J]. Landscape Ecology, 2019, 34(12): 2743-2763. doi: 10.1007/s10980-019-00912-w
    [4]
    毕奔腾, 杨辰, 李景文, 姜建武, 周立新. 基于数字高程模型的中国岩溶地貌研究进展及前景分析[J]. 中国岩溶, 2022, 41(2): 318-328.

    Bi Benteng, Yang Chen, Li Jingwen, Jiang Jianwu, Zhou Lixin. Research progress and prospect of karst geomorphology in China based on digital elevation model[J]. Carsologica Sinica, 2022, 41(2): 318-328.
    [5]
    Jo De Waele, Francisco Gutiérrez, Mario Parise, Lukas Plan. Geomorphology and natural hazards in karst areas: A review[J]. Geomorphology, 2011, 134(1-2): 1-8. doi: 10.1016/j.geomorph.2011.08.001
    [6]
    Gutiérrez F, Parise M, De Waele J, H. Jourde d. A review on natural and human-induced geohazards and impacts in karst[J]. Earth-Science Reviews, 2014, 138: 61-88. doi: 10.1016/j.earscirev.2014.08.002
    [7]
    唐雨生, 苏培东, 喻洪平, 杜宇本. 中国岩溶区铁路工程主要地质问题研究[J]. 地下空间与工程学报, 2022, 18(S1): 296-304.

    Tang Yusheng, Su Peidong, Yu Hongping, Du Yuben. Study on main geological problems of railway engineering in China karst area[J]. Chinese Journal of Underground Space and Engineering, 2022, 18(S1): 296-304.
    [8]
    Konstantinos Chalikakis, Valérie Plagnes, Roger Guerin, Rémi Valois, Frank P. Bosch. Contribution of geophysical methods to karst-system exploration: an overview[J]. Hydrogeology Journal, 2011, 19(6): 1169-1180. doi: 10.1007/s10040-011-0746-x
    [9]
    曹波. 城际铁路岩溶综合勘察方法研究[J]. 铁道标准设计, 2024, 68(8): 65-71. doi: 10.13238/j.issn.1004-2954.202403260002

    Cao Bo. Research on comprehensive karst survey method of intercity railway[J]. Railway Standard Design, 2024, 68(8): 65-71. doi: 10.13238/j.issn.1004-2954.202403260002
    [10]
    王伟奇, 李建平, 连长江, 甘建龙, 李超. 岩溶强烈发育区域建筑场地综合勘察技术探讨[J]. 工程地质学报, 2025, 33(3): 1141-1153. doi: 10.13544/j.cnki.jeg.2024-0317

    Wang Weiqi, Li Jianping, Lian Changjiang, Gan Jianlong, Li Chao. Discussion on comprehensive survey technology of building site in area with strong karst development[J]. Journal of Engineering Geology, 2025, 33(3): 1141-1153. doi: 10.13544/j.cnki.jeg.2024-0317
    [11]
    Wang Dejian, Qian Jiazhong, Ma Lei, Xu Hongmiao, Wang Xiaoyong, Wang Yangyang. Integration of multiple hydrogeological survey technologies for exploring the groundwater distribution in karst areas: A case study in Xingfu Spring, Chaohu City, China[J]. Journal of Hydrology, 2022, 614: 128637. doi: 10.1016/j.jhydrol.2022.128637
    [12]
    杨婷婷, 许光泉, 张著, 李浩, 章晋升, 贺彪. 淮南舜耕山奥陶系古岩溶发育特征及古地貌恢复[J]. 地质论评, 2024, 70(4): 1595-1606. doi: 10.16509/j.georeview.2024.02.002

    Yang Tingting, Xu Guangquan, Zhang Zhu, Li Hao, Zhang Jinsheng, He Biao. Characteristics of paleokarst development in Ordovician System in Shungeng Mountain, Huainan, and paleogeomorphic restoration[J]. Geological Review, 2024, 70(4): 1595-1606. doi: 10.16509/j.georeview.2024.02.002
    [13]
    Zhao Jingyuan, Li Ning, Liu Fengyin. Geological survey and drilling technology of karst land[J]. Desalination and Water Treatment, 2020, 187: 144-153. doi: 10.5004/dwt.2020.25311
    [14]
    李法滨, 郭云, 王祥, 龙斌, 曾耀. 山地城市轨道交通工程岩溶勘察模式浅析[J]. 城市轨道交通研究, 2024, 27(9): 121-126. doi: 10.16037/j.1007-869x.2024.09.022

    Li Fabin, Guo Yun, Wang Xiang, Long Bin, Zeng Yao. A brief analysis of karst survey mode for urban rail transit projects in mountainous city[J]. Urban Mass Transit, 2024, 27(9): 121-126. doi: 10.16037/j.1007-869x.2024.09.022
    [15]
    Yawar Hussain, Rogerio Uagoda, Welitom Borges, José Nunes, Omar Hamza, Cristobal Condori, Khurram Aslam, Jie Dou, Martín Cárdenas-Soto. The potential use of geophysical methods to identify cavities, sinkholes and pathways for water infiltration[J]. Water, 2020, 12(8): 2289. doi: 10.3390/w12082289
    [16]
    Zhou Nannan, Zhang Zhenghu, Wei Xinhao. Delineation of dry and water-bearing underground karst caves using a multicomponent grounded-wire transient electromagnetic method[J]. Geophysics, 2025, 90(5): B209-B220. doi: 10.1190/geo2024-0062.1
    [17]
    张虎, 杨野, 王登峰, 杨世华, 陈科宇. 基于时移思想的高密度电法在库区岩溶精细化探测中的应用[J]. 水利水电技术(中英文), 2025, 56(S1): 379-385.

    Zhang Hu, Yang Ye, Wang Dengfeng, Yang Shihua, Chen Keyu. Application of high-density electrical method based on time-shift idea in fine exploration of karst in reservoir areas[J]. Water Resources and Hydropower Engineering, 2025, 56(S1): 379-385.
    [18]
    周学义, 聂俊丽, 龙举. 遵义市某小区复杂溶洞精细化探测及建模[J]. 水利水电技术(中英文), 2025, 56(3): 147-157.

    Zhou Xueyi, Nie Junli, Long Ju. Refined exploration and modeling of complex karst in a residential area of Zunyi City[J]. Water Resources and Hydropower Engineering, 2025, 56(3): 147-157.
    [19]
    Fabrizio Terenzio Gizzi, Giovanni Leucci. Global research patterns on ground penetrating radar (GPR)[J]. Surveys in Geophysics, 2018, 39(6): 1039-1068. doi: 10.1007/s10712-018-9475-1
    [20]
    李活, 谭海涛, 刘宗辉, 蔡翼航, 覃子轩, 党思雨. 基于深度学习的探地雷达法岩溶地质结构反演[J]. 桂林理工大学学报, 2024, 44(4): 605-613. doi: 10.3969/j.issn.1674-9057.2024.04.005

    Li Huo, Tan Haitao, Liu Zonghui, Cai Yihang, Qin Zixuan, Dang Siyu. Inversion of karst geological structure with ground penetrating radar method based on deep learning[J]. Journal of Guilin University of Technology, 2024, 44(4): 605-613. doi: 10.3969/j.issn.1674-9057.2024.04.005
    [21]
    肖洋, 孟露, 卢松, 汪旭. 地质雷达法在岩溶隧道探测及图谱智能识别中的应用[J]. 现代隧道技术, 2023, 60(S1): 182-186. doi: 10.13807/j.cnki.mtt.2023.S1.25

    Xiao Yang, Meng Lu, Lu Song, Wang Xu. Application of ground penetrating radar method in karst tunnel detection and intelligent identification of spectrum[J]. Modern Tunnelling Technology, 2023, 60(S1): 182-186. doi: 10.13807/j.cnki.mtt.2023.S1.25
    [22]
    Luo Guochong, Song Yang, Man Lingcong, Sun Zhitao. A new method for detecting karst and groundwater by 3D seismic wave: Case study of the karst tunnel in Zhangjihuai Railway, China[J]. Bulletin of Engineering Geology and the Environment, 2023, 82(12): 451. doi: 10.1007/s10064-023-03468-x
    [23]
    沈志平, 陈发达, 张虎, 王祥, 刘欢. HVSR探测方法在城市岩溶勘察中的应用[J]. 地球物理学进展, 2022, 37(4): 1757-1763. doi: 10.6038/pg2022FF0423

    SHen Zhiping, Chen Fada, Zhang Hu, Wang Xiang, Liu Huan. Application of HVSR detection method in urban karst investigation[J]. Progress in Geophysics, 2022, 37(4): 1757-1763. doi: 10.6038/pg2022FF0423
    [24]
    Chen Ding, Xue Kaixi, Zhu Xiaowei, Zhou Chaohui, Chen Jun, Han Kaimin, Luo Qiang, Yi Guangsheng. Application of the opposing-coils transient electromagnetic method combined with ground-penetrating radar for the identification of shallow geohazards: A case study in Xiacun Town, Xinyu City, China[J]. Hydrogeology Journal, 2024, 32(7): 1925-1943. doi: 10.1007/s10040-024-02844-5
    [25]
    孙乃泉, 李天祥, 戚志鹏, 程旺盛, 曹华科. 地空瞬变电磁法在复杂地形运营公路隧道岩溶勘查中的应用: 以广西河池-百色高速公路为例[J]. 地球科学与环境学报, 2025, 47(1): 95-105. doi: 10.19814/j.jese.2024.05008

    Sun Naiquan, Li Tianxiang, Qi Zhipeng, Cheng Wangsheng, Cao Huake. Application of ground-airborne transient electromagnetic method in karst exploration of operational highway tunnels in complex terrain—Taking Hechi-Baise Highway in Guangxi, China as an example[J]. Journal of Earth Sciences and Environment, 2025, 47(1): 95-105. doi: 10.19814/j.jese.2024.05008
    [26]
    刘志清, 赵振国, 李添才, 王晨涛, 肖西卫, 连鑫葆. 山区公路微动探测方法应用试验研究[J]. 地球物理学进展, 2023, 38(2): 823-831.

    Liu Zhiqing, Zhao Zhenguo, Li Tiancai, Wang Chentao, Xiao Xiwei, Lian Xinbao. Research for the application of microtremor survey method to high-way construction in mountainous areas[J]. Progress in Geophysics, 2023, 38(2): 823-831.
    [27]
    Lu Tuo, Liu Shengdong, Wang Bo, Wu Rongxin, Hu Xiongwu. A review of geophysical exploration technology for mine water disaster in China: applications and trends[J]. Mine Water and the Environment, 2017, 36(3): 331-340. doi: 10.1007/s10230-017-0467-z
    [28]
    Su Maoxin, Zhao Ying, Xue Yiguo, Wang Peng, Xia Teng, Zhang Kai, Li Chongchong. Progressive fine integrated geophysical method for karst detection during subway construction[J]. Pure and Applied Geophysics, 2021, 178(1): 91-106. doi: 10.1007/s00024-020-02636-4
    [29]
    陈戈, 张克松, 张帅. 综合地球物理方法在安徽泗县地区地热勘查中的应用[J]. 地下水, 2024, 46(6): 142-145. doi: 10.19807/j.cnki.DXS.2024-06-045

    Chen Ge, Zhang Kesong, Zhang Shuai. Application of integrated geophysical method in geothermal exploration in Sixian county, Anhui province[J]. Ground water, 2024, 46(6): 142-145. doi: 10.19807/j.cnki.DXS.2024-06-045
    [30]
    张陈, 张伟, 易永杰, 姚世民, 何全华. 城市地表建筑物密集区的微动探测方法: 以成都市某海鲜批发市场的浅表精细探测为例[J]. 科学技术与工程, 2022, 22(19): 8200-8209.

    Zhang Chen, Zhang Wei, Yi Yongjie, Yao Shimin, He Quanhua. Microtremor exploration for dense area of urban surface buildings: A case study of shallow fine detection in one seafood wholesale market in Chengdu city[J]. Science Technology and Engineering, 2022, 22(19): 8200-8209.
    [31]
    晏雁. 微动勘探技术在煤矿隐蔽致灾地质因素探测中的应用[J]. 工程地球物理学报, 2024, 21(4): 578-586.

    Yan Yan. The application of microtremor exploration technology in the detection of hidden disaster causing geological factors in coal mines[J]. Chinese Journal of Engineering Geophysics, 2024, 21(4): 578-586.
    [32]
    Xie Peng, Li Jinggang, Wang Biao, Wu Gang, Wang Qiuliang, Lin Song. Application of SPAC method and electromagnetic wave CT in karst detection of Wuhan Metro Line 8[J]. Geodesy and Geodynamics, 2023, 14(5): 513-520. doi: 10.1016/j.geog.2023.03.001
    [33]
    张学亮, 谢涛, 周炜, 高辉, 邓冬, 曲靖祎. 等值反磁通瞬变电磁和微动勘探在浅部岩溶探测中的应用[J]. 煤田地质与勘探, 2023, 51(12): 157-166. doi: 10.12363/issn.1001-1986.23.05.0287

    Zhang Xueliang, Xie Tao, Zhou Wei, Gao Hui, Deng Dong, Qu Jingyi. The application of the opposing coils transient electromagnetic method and microtremor survey method in shallow karst detection[J]. Coal Geology & Exploration, 2023, 51(12): 157-166. doi: 10.12363/issn.1001-1986.23.05.0287
    [34]
    Liu Shen, Feng Caixia, Hou Chenhui,Ian M.Coulson. Zircon U-Pb geochronology, major,trace elemental, and Sr-Nd-Pb isotopic geochemistry: constraints on the age and magmatic origin of Mesozoic mafic dykes in the Guangxi Zhuang Autonomous Region, South China[J]. International Geology Review, 2025, 67(2): 233-250. doi: 10.1080/00206814.2024.2386689
    [35]
    徐文杰, 刘伟, 王滋平. 广西融安麻江锡多金属矿找矿前景分析[J]. 矿床地质, 2012, 31(S1): 883-884.

    Xu Wenjie, Liu Wei, Wang Ziping. Prospect analysis of tin polymetallic mines in Majiang, Rong'an, Guangxi, China[J]. Mineral Deposits, 2012, 31(S1): 883-884.
    [36]
    岑文攀, 覃英伦, 王祥, 熊伟伟, 黄文芳, 卓色强. 早石炭世断陷盆地构造特征及演化规律与页岩气保存关系: 以桂中坳陷融水地区为例[J]. 地质科技通报, 2024, 43(4): 39-52. doi: 10.19509/j.cnki.dzkq.tb20230723

    Cen Wenpan, Qin Yinglun, Wang Xiang, Xiong Weiwei, Huang Wenfang, Zhuo Seqiang. Relationship between structure and evolution of the Early Carboniferous rifted basin and shale gas preservation: A case study of the Rongshui area in the Guizhong Depression[J]. Bulletin of Geological Science and Technology, 2024, 43(4): 39-52. doi: 10.19509/j.cnki.dzkq.tb20230723
    [37]
    宋贝贝. 基于系统论视角的地质公园旅游科普系统构建研究: 以广西融安石门地质公园为例[D].桂林: 广西师范大学, 2016.

    Song Beibei. Research on geopark tourism science popularization system building based on the perspective of systems theory-- Shimen Geopark in Rong'an, Guangxi as an example[D].Guilin: Guangxi Normal University, 2016.
    [38]
    黄仕科. 浅析融安县岩溶山区生态屏障现状及其保护与建设[J]. 现代园艺, 2020, 43(13): 120-122. doi: 10.14051/j.cnki.xdyy.2020.13.064

    Huang Shike. Analyzing the current situation of the ecological barrier in the karst mountainous area of Rong'an County and its protection and construction[J]. Xiandai Horticulture, 2020, 43(13): 120-122. doi: 10.14051/j.cnki.xdyy.2020.13.064
    [39]
    Ali Zar, Zahoor Hussain, Muhammad Akbar, Timon Rabczuk, Zhibin Lin, Shuang Li, Bilal Ahmed. Towards vibration-based damage detection of civil engineering structures: overview, challenges, and future prospects[J]. International Journal of Mechanics and Materials in Design, 2024, 20(3): 591-662. doi: 10.1007/s10999-023-09692-3
    [40]
    Shu Hongmei, Ahmad Yahya Dawod. Microseismic monitoring signal waveform recognition and classification: review of contemporary techniques[J]. Applied Sciences, 2023, 13(23): 12739. doi: 10.3390/app132312739
    [41]
    孟科, 杨浩, 顾勤平, 王金艳, 赵启光. 利用微动台阵初勘目标区断裂位置及地层分布情况: 以滨海区评为例[J]. 防灾减灾工程学报, 2024, 44(4): 969-976.

    Meng Ke, Yang Hao, Gu Qinping, Wang Jinyan, Zhao Qiguang. Preliminary survey of fracture location and stratigraphic distribution in target area using microtremor array: a case study of the coastal area assessment[J]. Journal of Disaster Prevention and Mitigation Engineering, 2024, 44(4): 969-976.
    [42]
    宓彬彬, 洪雨, 夏江海. 多分量面波多道分析方法研究进展[J]. 地球物理学报, 2025, 68(8): 2825-2837.

    Mi Binbin, Hong Yu, Xia Jianghai. Advances in multicomponent multichannel analysis of surface wave method[J]. Chinese Journal of Geophysics, 2025, 68(8): 2825-2837.
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