Journal of Zhejiang University-SCIENCE A

, Volume 20, Issue 10, pp 794–803 | Cite as

Discrete element method-based prediction of areas prone to buried hill-controlled earth fissures

  • Yang Liu
  • Dan ZhangEmail author
  • Guang-ya Wang
  • Chun Liu
  • Yan Zhang


An independently developed discrete element code, MatDEM, was used to simulate buried hill-controlled earth fissures. An initial cubic discrete element method (DEM) model was obtained by considering the gravity accumulation of particles. A 2D stratigraphic model can be constructed by importing an elevation table of different strata into a cubic model. A simplified fluid-structure interaction method was then introduced to this. The model was simulated by gradually lowering the water level and then calculating the compression deformation of strata. By comparing the calculated settlement to the monitoring data, the validity and accuracy of the MatDEM model were verified. The area prone to earth fissures was predicted based on the analysis of the particle connections and horizontal displacement. The formation mechanism of the buried hill-controlled earth fissures was also explained. Thus, MatDEM is a good numerical simulation method for studying discontinuous problems, such as rock and soil cracking, and can be a new tool with which to study earth fissures.

Key words

Discrete element method (DEM) MatDEM Buried hill Earth fissure Prone area 



目 的

采用离散元法揭示抽水引起的基岩潜山型地裂缝 的发育过程, 实现对地裂缝易发区的准确预测, 为地裂缝灾害的早期预测和防治提供依据.


1. 提出采用离散元法模拟抽水引起的地裂缝问 题. 2. 提出依据颗粒连接和水平位移等预测地裂 缝的易发区.

方 法

1. 建立一个紧密堆积的二维模型. 2. 通过地调得 到的高程切割模型, 构建二维地层模型. 3. 对不同地层进行材料参数赋值, 随后施加重 力, 并对模型进行平衡. 4. 模型达到平衡后, 采 用简化的流固耦合计算方法以及通过调整单元 颗粒的浮力来模拟降水过程. 5. 通过每次运算降 低10 m 地下水位的循环算法模拟在地下水逐 渐降低过程中的地裂缝发展. 6. 通过与现场地调 数据进行对比, 验证离散元法在地裂缝模拟中的 可靠性.

结 论

1. 随着地下水位的下降, 由于不均匀沉降而产生 的土体弯曲作用是控制地裂缝发育的主要机制. 2. MatDEM 是一种更可靠、直观的数值模拟方法, 可以用于不连续地质体(如基岩潜山型)地裂缝 的易发区预测, 以及地裂缝的演化过程研究.


离散元法 MatDEM 基岩潜山型地裂缝 易发区 

CLC number



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  1. Adiyaman IB, 2012. Land Subsidence and Earth Fissures Due to Groundwater Pumping. PhD Thesis, University of Arizona, Arizona, USA.Google Scholar
  2. Budhu M, 2011. Earth fissure formation from the mechanics of groundwater pumping. International Journal of Geomechanics, 11(1):1–11. CrossRefGoogle Scholar
  3. Burbey TJ, 2010. Mechanisms for earth fissure formation in heavily pumped basins. In: Land Subsidence, Associated Hazards and the Role of Natural Resources Development. IAHS-AISH Publication, Querétaro, Mexico.Google Scholar
  4. Cundall PA, Strack ODL, 1979. A discrete numerical model for granular assemblies. Géotechnique, 29(1):47–65. CrossRefGoogle Scholar
  5. Dai ZL, Huang Y, Cheng HL, et al., 2017. SPH model for fluid-structure interaction and its application to debris flow impact estimation. Landslides, 14(3):917–928. CrossRefGoogle Scholar
  6. Demir A, Dincer AE, Bozkus Z, et al., 2019. Numerical and experimental investigation of damping in a dam-break problem with fluid-structure interaction. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 20(4):258–271. CrossRefGoogle Scholar
  7. Gong XL, Gu CS, Lu Y, et al., 2018. Model test for evolution of ground fissures due to extraction of groundwater. Journal of Engineering Geology, 26(4):951–958 (in Chinese). Google Scholar
  8. Han YH, Cundall PA, 2013. LBM-DEM modeling of fluid-solid interaction in porous media. International Journal for Numerical and Analytical Methods in Geomechanics, 37(10):1391–1407. CrossRefGoogle Scholar
  9. Howard KWF, Zhou WF, 2019. Overview of ground fissure research in China. Environmental Earth Sciences, 19(6): 97. CrossRefGoogle Scholar
  10. Li WT, Yang N, Li TC, et al., 2017. A new approach to simulate the supporting arch in a tunnel based on improvement of the beam element in FLAC3D. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 18(3):179–193. MathSciNetCrossRefGoogle Scholar
  11. Liu C, Pollard DD, Shi B, 2013. Analytical solutions and numerical tests of elastic and failure behaviors of close-packed lattice for brittle rocks and crystals. Journal of Geophysical Research: Solid Earth, 118(1):71–82. Google Scholar
  12. Liu C, Pollard DD, Gu K, et al., 2015. Mechanism of formation of wiggly compaction bands in porous sandstone: 2. Numerical simulation using discrete element method. Journal of Geophysical Research: Solid Earth, 120(12): 8153–8168. Google Scholar
  13. Liu C, Xu Q, Shi B, et al.., (2017). Mechanical properties and energy conversion of 3D close-packed lattice model for brittle rocks. Computers & Geosciences, 103:12–20. CrossRefGoogle Scholar
  14. Mora P, Place D, 1994. Simulation of the frictional stick-slip instability. Pure and Applied Geophysics, 143(1–63):61–87. CrossRefGoogle Scholar
  15. Mohseni N, Sepehr A, Hosseinzadeh SR, et al., 2017. Variations in spatial patterns of soil-vegetation properties over subsidence-related ground fissures at an arid ecotone in northeastern Iran. Environmental Earth Sciences, 76(6): 234. CrossRefGoogle Scholar
  16. Neveu A, Artoni R, Richard P, et al.., (2016). Fracture of granular materials composed of arbitrary grain shapes: a new cohesive interaction model. Journal of the Mechanics and Physics of Solids, 95:308–319. CrossRefGoogle Scholar
  17. Panda BB, Rucker ML, Fergason KC., (2015). Modeling of earth fissures caused by land subsidence due to groundwater withdrawal. Proceedings of the International Association of Hydrological Sciences, 372:69–72. CrossRefGoogle Scholar
  18. Peng JB, Meng LC, Lu QZ, et al., 2018. Development characteristics and mechanisms of the Taigu-Qixian earth fissure group in the Taiyuan basin, China. Environmental Earth Sciences, 77(11):407. CrossRefGoogle Scholar
  19. Redaelli I, Ceccato F, di Prisco C, et al.., (2017). Solid-fluid transition in granular flows: MPM simulations with a new constitutive approach. Procedia Engineering, 175:80–85. CrossRefGoogle Scholar
  20. Rothenburg L, Obah A, El Baruni S., (1995). Horizontal ground movements due to water abstraction and formation of earth fissures. International Association of Hydrological Sciences, Publication, 234:239–249.Google Scholar
  21. Scaringi G, Fan XM, Xu Q, et al., 2018. Some considerations on the use of numerical methods to simulate past landslides and possible new failures: the case of the recent Xinmo landslide (Sichuan, China). Landslides, 15(7): 1359–1375. CrossRefGoogle Scholar
  22. Wang GY, You GG, Shi B, et al., 2009. Earth fissures triggered by groundwater withdrawal and coupled by geological structures in Jiangsu Province, China. Environmental Geology, 57(5):1047–1054. CrossRefGoogle Scholar
  23. Wang GY, You GG, Shi B, et al., 2010a. Earth fissures in Jiangsu Province, China and geological investigation of Hetang earth fissure. Environmental Earth Sciences, 60(1):35–43. CrossRefGoogle Scholar
  24. Wang GY, You GG, Shi B, et al., 2010b. Large differential land subsidence and earth fissures in Jiangyin, China. Environmental Earth Sciences, 61(5):1085–1093. CrossRefGoogle Scholar
  25. Wang GY, You GG, Zhu JQ, et al., 2016. Investigations of Changjing earth fissures, Jiangyin, Jiangsu, China. Environmental Earth Sciences, 75(6):502. CrossRefGoogle Scholar
  26. Wang GY, Zhu JQ, You GG, et al.., (2017). Land rebound after banning deep groundwater extraction in Changzhou, China. Engineering Geology, 229:13–20. CrossRefGoogle Scholar
  27. Wu JC, Shi XQ, Ye SJ, et al., 2010. Numerical simulation of viscoelastoplastic land subsidence due to groundwater overdrafting in Shanghai, China. Journal of Hydrologic Engineering, 15(3):223–236. CrossRefGoogle Scholar
  28. Ye SJ, Franceschini A, Zhang Y, et al., 2018. A novel approach to model earth fissure caused by extensive aquifer exploitation and its application to the Wuxi case, China. Water Resources Research, 54(3):2249–2269. CrossRefGoogle Scholar
  29. Yoo J, Perrings C, 2017. An externality of groundwater depletion: land subsidence and residential property prices in Phoenix, Arizona. Journal of Environmental Economics and Policy, 6(2):121–133. CrossRefGoogle Scholar
  30. Yuan S, Zhong HZ, 2017. Finite deformation elasto-plastic consolidation analysis of soft clay by the weak form quadrature element method. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 18(2):942–957. MathSciNetCrossRefGoogle Scholar
  31. Zhang Y, Wang ZC, Xue YQ, et al., 2016. Mechanisms for earth fissure formation due to groundwater extraction in the Su-Xi-Chang area, China. Bulletin of Engineering Geology and the Environment, 75(2):745–760. CrossRefGoogle Scholar
  32. Zhang Y, Yu J, Gong XL, et al., 2018. Pumping-induced stress and strain in aquifer systems in Wuxi, China. Hydrogeology Journal, 26(3):771–787. CrossRefGoogle Scholar
  33. Zhang ZH, Zhang XD, Tang Y, et al., 2018. Discrete element analysis of a cross-river tunnel under random vibration levels induced by trains operating during the flood season. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 19(5):346–366. CrossRefGoogle Scholar

Copyright information

© Zhejiang University and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of Earth Sciences and EngineeringNanjing UniversityNanjingChina
  2. 2.Geological Survey of Jiangsu ProvinceKey Laboratory of Earth Fissures Geological Disaster of Ministry of Land and ResourcesNanjingChina

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