Citation: | TAO Xiaohu, YE Ming, GONG Jianshi, WANG Hesheng, HU Xiaoyu. Analysis of the formation process of the covered karst ground collapse induced by groundwater changes based on the coupled LBM-DEM numerical simulation at micro scale[J]. The Chinese Journal of Geological Hazard and Control, 2024, 35(1): 124-131. doi: 10.16031/j.cnki.issn.1003-8035.202207027 |
To investigate the hydraulic characteristics and soil behaviors during the formation of covered karst ground collapse induced by the groundwater changes, a 2D fluid-solid coupling model was developed based on discrete element method and lattice Boltzmann method. This model utilizes the linearly interpolated bounce-back scheme of Bouzidi and the momentum exchange method, allowing for the simulation of the formation of covered karst ground collapse from a microscopic perspective. Using the fluid-solid coupling model, an exploratory study was conducted to simulate the formation of covered karst ground collapse induced by a decrease in the hydraulic head of confined aquifers. Simulation results indicate that when the water level of a confined aquifer declines, the groundwater flow mainly affects the particles located above a cave opening and produces a downward force on the surrounding soil. When soil particles spall, the hydraulic heads at the positions of the spalled soil particles drop sharply. This results in a significant increase in the hydraulic gradient, causing the groundwater force on internal particles to sharply increase as well. As a result, the upper particles lose stability due to the combined force of groundwater dragging and gravitational force, which can lead to a gradual acceleration process of collapse. The research results provide valuable insights into the understanding of covered karst ground collapse formation induced by the groundwater changes.
[1] | ZALASIEWICZ J,WILLIAMS M,STEFFEN W,et al. The new world of the anthropocene[J]. Environmental Science & Technology,2010,44(7):2228 − 2231. |
[2] | PRICE S J,FORD J R,COOPER A H,et al. Humans as major geological and geomorphological agents in the Anthropocene:The significance of artificial ground in Great Britain[J]. Philosophical Transactions Series A,Mathematical,Physical,and Engineering Sciences,2011,369(1938):1056 − 1084. |
[3] | 李前银. 再论岩溶塌陷的形成机制[J]. 中国地质灾害与防治学报,2009,20(3):52 − 55. [LI Qianyin. Further study on formation mechanism of karst collaps[J]. The Chinese Journal of Geological Hazard and Control,2009,20(3):52 − 55. (in Chinese with English abstract) doi: 10.16031/j.cnki.issn.1003-8035.2009.03.018 LI Qianyin. Further study on formation mechanism of karst collaps[J]. The Chinese Journal of Geological Hazard and Control, 2009, 20(3): 52-55. (in Chinese with English abstract) doi: 10.16031/j.cnki.issn.1003-8035.2009.03.018 |
[4] | 余政兴,金福喜,段选亮. 河床透-阻型岩溶塌陷形成机理[J]. 中国地质灾害与防治学报,2020,31(2):57 − 66. [YU Zhengxing,JIN Fuxi,DUAN Xuanliang. Formation mechanism of karst collapse with unconfined aquifer-aquitaed system in riverbed[J]. The Chinese Journal of Geological Hazard and Control,2020,31(2):57 − 66. (in Chinese with English abstract) doi: 10.16031/j.cnki.issn.1003-8035.2020.02.08 YU Zhengxing, JIN Fuxi, DUAN Xuanliang. Formation mechanism of karst collapse with unconfined aquifer-aquitaed system in riverbed[J]. The Chinese Journal of Geological Hazard and Control, 2020, 31(2)57-66(in Chinese with English abstract) doi: 10.16031/j.cnki.issn.1003-8035.2020.02.08 |
[5] | 车增光,刘洪,喻永祥. 苏州市金庭镇蒋东岩溶塌陷地质条件及形成机理研究[J]. 华东地质,2021,42(1):85 − 92. [CHE Zengguang,LIU Hong,YU Yongxiang. Study on geological conditions and formation mechanism of karst collapse in Jiangdong Village,Jinting Town,Suzhou City[J]. East China Geology,2021,42(1):85 − 92. (in Chinese with English abstract) Che Zengguang, LIU Hong, YU Yongxiang. Study on geological conditions and formation mechanism of karst collapse in Jiangdong Village, Jinting Town, Suzhou City[J]. East China Geology, 2021, 42(1): 85-92. (in Chinese with English abstract) |
[6] | 缪世贤,黄敬军,武鑫,等. 徐州岩溶地质调查及其发育特征分析[J]. 水文地质工程地质,2017,44(2):172 − 177. [MIAO Shixian,HUANG Jingjun,WU Xin,et al. Karst geological survey and analysis of its development characteristics in Xuzhou[J]. Hydrogeology and Engineering Geology,2017,44(2):172 − 177. (in Chinese with English abstract) doi: 10.16030/j.cnki.issn.1000-3665.2017.02.26 MIAO Shixian, HUANG Jingjun, WU Xin, et al. Karst geological survey and analysis of its development characteristics in Xuzhou[J]. Hydrogeology and Engineering Geology, 2017, 44(2)172-177(in Chinese with English abstract) doi: 10.16030/j.cnki.issn.1000-3665.2017.02.26 |
[7] | 万志清,秦四清,李志刚,等. 土洞形成的机理及起始条件[J]. 岩石力学与工程学报,2003,22(8):1377 − 1382. [WAN Zhiqing,QIN Siqing,LI Zhigang,et al. Formation mechanism and initial condition of soil cavity[J]. Chinese Journal of Rock Mechanics and Engineering,2003,22(8):1377 − 1382. (in Chinese with English abstract) doi: 10.3321/j.issn:1000-6915.2003.08.028 WAN Zhiqing, QIN Siqing, LI Zhigang, et al. Formation mechanism and initial condition of soil cavity[J]. Chinese Journal of Rock Mechanics and Engineering, 2003, 22(8): 1377-1382. (in Chinese with English abstract) doi: 10.3321/j.issn:1000-6915.2003.08.028 |
[8] | 王滨,贺可强. 岩溶塌陷临界土洞的极限平衡高度公式[J]. 岩土力学,2006,27(3):458 − 462. [WANG Bin,HE Keqiang. Study on limit equilibrium height expression of critical soil cave of karst collapse[J]. Rock and Soil Mechanics,2006,27(3):458 − 462. (in Chinese with English abstract) doi: 10.3969/j.issn.1000-7598.2006.03.024 WANG Bin, HE Keqiang. Study on limit equilibrium height expression of critical soil cave of karst collapse[J]. Rock and Soil Mechanics, 2006, 27(3): 458-462. (in Chinese with English abstract) doi: 10.3969/j.issn.1000-7598.2006.03.024 |
[9] | 陶小虎,赵坚,WANG Xiaoming,等. 地下水位变化对透-阻型岩溶塌陷影响的分析[J]. 中国岩溶,2017,36(6):777 − 785. [TAO Xiaohu,ZHAO Jian,WANG Xiaoming,et al. Analysis of seepage effect on the formation of sinkhole in unconfined aquifer-aquitard system caused by groundwater changes[J]. Carsologica Sinica,2017,36(6):777 − 785. (in Chinese with English abstract) doi: 10.11932/karst2017y50 TAO Xiaohu, ZHAO Jian, WANG Xiaoming, et al. Analysis of seepage effect on the formation of sinkhole in unconfined aquifer-aquitard system caused by groundwater changes[J]. Carsologica Sinica, 2017, 36(6): 777-785. (in Chinese with English abstract) doi: 10.11932/karst2017y50 |
[10] | 孙金辉. 覆盖型岩溶塌陷临界参数模型试验与数值模拟研究[D]. 成都: 西南交通大学, 2011: 7 − 35 SUN Jinhui. Study on critical parameterin cover karst collapseby model experimentand numerical simulation[D]. Chengdu: Southwest Jiaotong University, 2011: 7 − 35. (in Chinese with English abstract) |
[11] | LEI Mingtang, GAO Yongli, JIANG Xiaozhen, et al. Experimental study of physical models for sinkhole collapses in Wuhan, China[C]//Sinkholes and the Engineering and Environmental Impacts of Karst. San Antonio, Texas, USA. Reston, VA: American Society of Civil Engineers, 2005: 91-102. |
[12] | MAHMOUD A. Application of digital image cross correlation to study sinkhole collapse[J]. ISRN Soil Science,2013:1 − 6. |
[13] | Y F,ZHOU. The mechanism of soil failures along cracks subjected to water infiltration[J]. Computers and Geotechnics,2014,55:330 − 341. doi: 10.1016/j.compgeo.2013.09.009 |
[14] | ALI S M. Modelling the effect of void migration underneath landfill liner system [D]. University of Nottingham, 2003. |
[15] | 金晓文,陈植华,曾斌,等. 岩溶塌陷机理定量研究的初步思考[J]. 中国岩溶,2013,32(4):437 − 446. [JIN Xiaowen,CHEN Zhihua,ZENG Bin,et al. Preliminary thinking of quantitative research on the mechanism of karst collapse[J]. Carsologica Sinica,2013,32(4):437 − 446. (in Chinese with English abstract) JIN Xiaowen, CHEN Zhihua, ZENG Bin, et al. Preliminary thinking of quantitative research on the mechanism of karst collapse[J]. Carsologica Sinica, 2013, 32(4): 437-446. (in Chinese with English abstract) |
[16] | CUNDALL P A. A computer model for simulating progressive large scale movements in blocky rock systems[M]. In Proc Int Symp Rock Fracture. Nancy; ISRM. 1971: 2 − 8. |
[17] | 周健, 贾敏才. 土工细观模型试验与数值模拟[M]. 北京: 科学出版社, 2008 ZHOU Jian, JIA Mincai. Meso-model test and numerical simulation of geotechnical engineering[M]. Beijing: Science Press, 2008. (in Chinese) |
[18] | 陈松贵. 宾汉姆流体的LBM-DEM方法及自密实混凝土复杂流动研究[D]. 北京: 清华大学, 2014: 44 − 50 CHEN Songgui. Development of LBM-DEM for Bingham suspensions with application to self-compacting concrete[D]. Beijing: Tsinghua University, 2014: 44 − 50. (in Chinese with English abstract) |
[19] | QIAN Y H,D'HUMIÈRES D,LALLEMAND P. Lattice BGK models for navier-stokes equation[J]. Europhysics Letters (EPL),1992,17(6):479 − 484. doi: 10.1209/0295-5075/17/6/001 |
[20] | BOUZIDI M,FIRDAOUSS M,LALLEMAND P. Momentum transfer of a Boltzmann-lattice fluid with boundaries[J]. Physics of Fluids,2001,13(11):3452 − 3459. doi: 10.1063/1.1399290 |
[21] | MEI Renwei, YU Dazhi, SHYY W, et al. Force evaluation in the lattice Boltzmann method involving curved geometry[J]. Physical Review E, Statistical, Nonlinear, and Soft Matter Physics, 2002, 65(4 Pt 1): 041203. |
[22] | CUI Xilin. Numerical simulation of internal fluidisation and cavity evolution due to a leaking pipe using the coupled Dem-lbm technique[D]. Birmingham, West Midlands, UK: University of Birmingham, 2013. |
[23] | 陈玉璞, 王惠民. 流体动力学[M]. 2版. 北京: 清华大学出版社, 2013. CHEN Yupu, WANG Huimin. Fluid dynamics[M]. 2nd ed. Beijing: Tsinghua University Press, 2013. (in Chinese) |
[24] | LOMINÉ F,SCHOLTÈS L,SIBILLE L,et al. Modeling of fluid-solid interaction in granular media with coupled lattice Boltzmann/discrete element methods:Application to piping erosion[J]. International Journal for Numerical and Analytical Methods in Geomechanics,2013,37(6):577 − 596. doi: 10.1002/nag.1109 |
[25] | LHL A,GN B,ZB A,et al. Hydro-mechanical modeling of sinkhole occurrence processes in covered karst terrains during a flood[J]. Engineering Geology,2019,260:105249. doi: 10.1016/j.enggeo.2019.105249 |
[26] | HENTZ S. Modélisation d’une structure en béton armé soumise à un choc par la méthode des eléments discrets [D]. Grenoble: Université Grenoble 1 - Joseph Fourier, 2003. |
[27] | MIKIO,SAKAI. Study on a large-scale discrete element model for fine particles in a fluidized bed[J]. Advanced Powder Technology,2012,23(5):673 − 681. doi: 10.1016/j.apt.2011.08.006 |
[28] | 汤志刚,蔡承刚,王艳红,等. 基于光纤传感的石膏矿地面塌陷监测预警系统[J]. 中国地质灾害与防治学报,2022,33(5):93 − 101. [TANG Zhigang,CAI Chenggang,WANG Yanhong,et al. Monitoring and warning system for ground subsidence of gypsum mine based on fiber sensing[J]. The Chinese Journal of Geological Hazard and Control,2022,33(5):93 − 101. (in Chinese with English abstract) doi: 10.16031/j.cnki.issn.1003-8035.202108034 TANG Zhigang, CAI Chenggang, WANG Yanhong, et al. Monitoring and warning system for ground subsidence of gypsum mine based on fiber sensing[J]. The Chinese Journal of Geological Hazard and Control, 2022, 33(5)93-101(in Chinese with English abstract) doi: 10.16031/j.cnki.issn.1003-8035.202108034 |
[29] | 何军,刘磊,黎清华,等. 隐伏岩溶区地下空间探测技术方法研究—以武汉市为例[J]. 水文地质工程地质,2020,47(6):47 − 56. [HE Jun,LIU Lei,LI Qinghua,et al. Techniques for detecting underground space in hidden karst region:Taking Wuhan as an example[J]. Hydrogeology & Engineering Geology,2020,47(6):47 − 56. (in Chinese with English abstract) HE Jun, LIU Lei, LI Qinghua, et al. Techniques for detecting underground space in hidden karst region: taking Wuhan as an example[J]. Hydrogeology & Engineering Geology, 2020, 47(6): 47-56. (in Chinese with English abstract) |
[30] | 查甫生,刘从民,苏晶文,等. 铜陵市朝山地区岩溶塌陷形成条件与地面稳定性评价分析[J]. 地质论评,2020,66(1):246 − 254. [ZHA Fusheng,LIU Congmin,SU Jingwen,et al. Formation conditions of karst collapse and evaluation of ground stability in Chaoshan area of Tongling City[J]. Geological Review,2020,66(1):246 − 254. (in Chinese with English abstract) doi: 10.16509/j.georeview.2020.01.018 ZHA Fusheng, LIU Congmin, SU Jingwen, et al. Formation conditions of karst collapse and evaluation of ground stability in Chaoshan area of Tongling City[J]. Geological Review, 2020, 66(1): 246-254. (in Chinese with English abstract) doi: 10.16509/j.georeview.2020.01.018 |
Schematic view of Bouzidi interpolation bounce-back diagram
The variation of horizontal force on solid particle introduced by water flow with different β
Modeling flowchart of covered karst ground collapse formation
Schematic view of LBM-DEM model of covered karst ground collapse
The process of covered karst ground collapse formation with declining confined water level
The variation of water pressure at different elevations of karst opening centerline during covered karst ground collapse formation
The variation of vertical force on the particles at karst opening centerline during covered karst ground collapse formation
The variation of vertical displacement of the particles at karst opening centerline during covered karst ground collapse formation