Abstract
Underground coal mining in the southwestern mountainous area of China causes potential large-scale landslides. To prevent the geohazards of consequent bedding rock slopes after underground mining, the deformation and failure configuration were determined by two landslides caused by underground mining. Then, a prediction model for the fracture failure of the consequent bedding rock slopes was established and validated by physical modeling. The prediction model can analyze the stress and bending moment in the consequent bedding rock slope caused by underground mining and predict the location of fracture failure of the slope. The prediction results for the Masangwan landslide showed that the fracture was at 103.5 m as compared to the actual slip length of 114 m, with an error of 10.5 m, and the relative error at 9.21%. The prediction model has good prediction effect. Physical modeling showed that the crack locations from a similar model appeared at specific intervals in the further advancement of underground mining. The rock mass at a distance from the boundary of the separation zone of the slope surface reached the tensile limit when the length of the separation reached the maximum threshold value, producing tensile cracks. The crack locations from a similar model appeared at specific intervals in the further advancement of underground mining. In addition, the error between the crack location and the prediction result was found to be only 0.0352 m, and the relative error was 5.79%. A comparison between the physical and proposed models showed that the predicted fracture failure is consistent with the laboratory results. The prediction and physical model neglect the impact of environmental factors on fracture development, such as the complex geological structure and the physical and chemical transport of water in the rock mass, resulting in a small error in the prediction results. Therefore, the prediction results can effectively reflect the deformation and failure of consequent bedding rock slopes caused by underground mining. The proposed model can serve as a theoretical basis to predict the geological disasters of consequent bedding rock slopes caused by underground mining.
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Abbreviations
- \(\sigma\) :
-
Stress
- \(\varepsilon\) :
-
Strain
- w :
-
Water content
- \(\dot{\varepsilon }\) :
-
Strain rate
- \(E\) :
-
Elasticity modulus
- \(E_{\text{p}}\) :
-
Elasticity modulus associated with the rock slope
- \(E_{\text{r}}\) :
-
Elasticity modulus associated with the weak structural layer
- \(\eta\) :
-
Coefficient of viscosity
- \(\eta_{\text{p}}\) :
-
Coefficient of viscosity associated with the rock slope
- \(\eta_{\text{r}}\) :
-
Coefficient of viscosity associated with the weak structural layer
- \(W_{\text{p}}\) :
-
Subsidence of the rock slope
- \(W_{\text{r}}\) :
-
Subsidence of the weak structural layer
- \(W\) :
-
Deflection
- \(\rho\) :
-
Radius of curvature for the neutral axis
- z :
-
Distance from any point on the z-axis to the neutral axis
- \(M\) :
-
Bending moment
- \(I\) :
-
Moment of inertia with respect to the y-axis
- A :
-
Cross-sectional area
- \(q\) :
-
Uniform load
- \(P_{\text{z}}\) :
-
Load of the gravity action
- γ:
-
Volume weight
- h :
-
Thickness
- θ :
-
Angle
- \(\varphi\) :
-
Force function of the weak structural layer
- m :
-
Thickness of the weak structural layer
- \(U\) :
-
Arbitrary function
- l :
-
Length of separation
- \(f\) :
-
Arbitrary function
- α :
-
Coefficient associated with the constitutive characteristics of the rock mass
- \(F\) :
-
Function associated with the function \(f\)
- \(C_{i}\) :
-
Arbitrary function, i from 1 to 4
- \(D_{i}\) :
-
Arbitrary function, i from 1 to 4
- \(T\) :
-
Shear force
- \(\sigma_{\rm{max} }\) :
-
Maximum stress
- \(x_{{\sigma_{\rm{max} } }}\) :
-
Location of the maximum stress
- \(\sigma_{t}\) :
-
Tensile strength of the rock slope
- \(l_{\rm{max} }\) :
-
Maximum length of separation
- \(M_{\rm{max} }\) :
-
Maximum bending moment
- \(x_{{M_{\rm{max} } }}\) :
-
Location of the maximum bending moment
References
Agliardi F, Crosta GB, Meloni F, Valle C, Rivolta C (2013) Structurally-controlled instability, damage and slope failure in a porphyry rock mass. Tectonophysics 605:34–47. https://doi.org/10.1016/j.tecto.2013.05.033
Alejano LR, Ferrero AM, Ramırez-Oyanguren P, Alvarez Fernandez MI (2011) Comparison of limit-equilibrium, numerical and physical models of wall slope stability. Int J Rock Mech Min Sci 48:16–26. https://doi.org/10.1016/j.ijrmms.2010.06.013
Alzoubi AK, Martin CD, Cruden DM (2010) Influence of tensile strength on toppling failure in centrifuge tests. Int J Rock Mech Min Sci 47:974–982. https://doi.org/10.1016/j.ijrmms.2010.05.011
Bearman RA (1999) The use of the point load test for the rapid estimation of Mode I fracture toughness. Int J Rock Mech Min 36:257–263. https://doi.org/10.1016/S0148-9062(99)00015-7
Brady BHG, Brown ET (2006) Rock mechanics for underground mining, 3rd edn. Kluwer Academic Publishers, New York
Brown ET, Ferguson GA (1979) Prediction of progressive hanging-wall caving, Gath’s mine, Rhodesia. Trans Inst Min Metall 88:92–105. https://doi.org/10.1016/0148-9062(80)90621-X
Cai MF (2002) Rock mechanics and engineering. Science Press, Beijing
Chandar KR, Hegde C, Yellishetty M, Kumar BG (2015) Classification of stability of highwall during highwall mining: a statistical adaptive learning approach. Geotech Geol Eng 33:511–521. https://doi.org/10.1007/s10706-014-9836-6
Chen LW, Li SJ, Chen YF, Zhang KX, Liu YX (2018) Further development and application of a creep damage model for water-bearing rocks. Chin J Solid Mech. https://doi.org/10.19636/j.cnki.cjsm42-1250/o3.2018.018
Dai ZY, Tang JX, Jiang J, Deng YH, Liu S, Zhang L (2016) Similar simulation of deformation and fracture of bedding rock stratum with weak intercalation induced by underground mining. J China Coal Soc 41:2714–2720. https://doi.org/10.13225/j.cnki.jccs.2016.0409
Dai ZY, Tang JX, Wang YL, Jiang ZB, Zhang L, Liu S (2017) Prediction model for mining subsidence in bedding rock slopes. Chin J Rock Mech Eng 36:3012–3020. https://doi.org/10.13722/j.cnki.jrme.2017.0415
Ding LP (2014) Study on formation mechanism of complex geological disasters which include collapse and landslide induced by subsidence of mine out area. Dissertation, Chengdu University of Technology
Erginal AE, Türkes M, Ertek TA (2008) Geomorphological investigation of the excavation-induced Dundar landslide, Bursa, Turkey. Geografiska Annaler Ser A Phys Geogr 90:109–123. https://doi.org/10.1111/j.1468-0459.2008.00159.x
Feng Z, Yin YP, Li B, Zhang M (2012) Mechanism analysis of apparent dip landslide of Jiweishan in Wulong, Chongqing. Rock Soil Mech 33:2704–2713. https://doi.org/10.16285/j.rsm.2012.09.012
Feng Z, Li B, Cai QP, Cao JW (2016) Initiation mechanism of the Jiweishan Landslide in Chongqing, Southwestern China. Environ Eng Geosci 22:341–351. https://doi.org/10.2113/gseegeosci.22.4.341
Gu DZ (1979) Foundation of rock mass engineering geomechanics. Science Press, Beijing
Huang RQ (2007) Large-scale landslides and their sliding mechanisms in China since the 20th century. Chin J Rock Mech Eng 26:433–454. https://doi.org/10.3321/j.issn:1000-6915.2007.03.001
Huang M (2010) Study on the creep properties of water-bearing siltite and its application in soft rock tunnel engineering. Dissertation, Chongqing University
Hughes DB, Clarke BG (2002) Faulting and slope failures in surface coal mining-some examples from North East England. Geotech Geol Eng 20:291–332. https://doi.org/10.1023/A:1021256700701
Jia XM, Wang QZ (2003) Calibration of the ISRM rock fracture toughness new sample CCNBD stress intensity factor. Chin J Rock Mech Eng 22:1227–1233. https://doi.org/10.3321/j.issn:1000-6915.2003.08.001
Jiang J (2015) The influence of underground mining on the stability of bedding slope. Dissertation, Chongqing University
Kang JR (2008) Analysis of effect of fissures caused by underground mining on ground movement and deformation. Chin J Rock Mech Eng 27:59–64. https://doi.org/10.3321/j.issn:1000-6915.2008.01.009
Li HZ (2013) Study on rock time-varying strength and slope dynamic stability based on creep properties of water-bearing soft rock. Dissertation, Northeastern University
Li XH, Lu YY, Kang Y, Rao BH (2007) Experimental simulation technology of rock mechanics. Science and Technology Press, Beijing
Li TF, Li X, Yuan WN, Li SD, He JM, Ma CF, Chen Y, Wang G (2011) Current status and prospects of studies on mechanism of landslide geohazards induced by underground mining. J Eng Geol 19:831–838. https://doi.org/10.3969/j.issn.1004-9665.2011.06.006
Li B, Wang GZ, Feng Z, Wang WP (2015) Failure mechanism of steeply inclined rock slopes induced by underground mining. Chin J Rock Mech Eng 34:1148–1161. https://doi.org/10.13722/j.cnki.jrme.2014.0974
Li B, Feng Z, Wang GZ, Wang WP (2016) Processes and behaviors of block topple avalanches resulting from carbonate slope failures due to underground mining. Environ Earth Sci 75:694. https://doi.org/10.1007/s12665-016-5529-1
Liang M, Tang FQ (1995) Research on rules of mountain landslide caused by underground mining. J Xi’an Min Inst 15:331–335. https://doi.org/10.13800/j.cnki.xakjdxxb.1995.04.011
Liu BC (1982) Mine rock mechanics introduction. Hunan Science and Technology Press, Changsha
Liu CZ (2009) Theory and its application on mega-geohazards mitigation. Science Press, Beijing
Liu XJ, Liu XR, Wang TX, Wang JB (2014) Creep model of low-grade metamorphic slate considering moisture degradation effect. Chin J Rock Mech Eng 33:2384–2389. https://doi.org/10.13722/j.cnki.jrme.2014.12.002
Marschalko M, Yilmaz I, Bednárik M, Kubečka K (2012) Influence of underground mining activities on the slope deformation genesis: Doubrava Vrchovec, Doubrava Ujala and Staric case studies from Czech Republic. Eng Geol 147–148:37–51. https://doi.org/10.1016/j.enggeo.2012.07.014
Sabino ML (2014) Numerical modeling of failure mechanisms in phyllite mine slopes in Brazil. Int J Min Sci Technol 24:777–782. https://doi.org/10.1016/j.ijmst.2014.10.007
Sasaoka T, Karian T, Hamanaka A, Shimada H, Matsui K (2016) Application of highwall mining system in weak geological condition. Int J Coal Sci Technol 3:311–321. https://doi.org/10.1007/s40789-016-0121-6
Singh R, Mandal PK, Singh AK, Kumar R, Maiti J, Ghosh AK (2008) Upshot of strata movement during underground mining of a thick coal seam below hilly terrain. Int J Rock Mech Min Sci 45:29–46. https://doi.org/10.1016/j.ijrmms.2007.03.006
Song YH, Nie DX, Long C (2003) Analysis on deformation and failure model of excavating slope and prediction. J Calam 18:32–37. https://doi.org/10.3969/j.issn.1000-811X.2003.02.007
Tang FQ (2009) Research on mechanism of mountain landslide due to underground mining. J Coal Sci Eng 15:351–354. https://doi.org/10.1007/S12404-009-0403-3
Tang HM, Zou ZX, Xiong CR, Wu YP, Hu XL, Wang LQ, Lu S, Criss RE, Li CD (2015) An evolution model of large consequent bedding rockslides, with particular reference to the Jiweishan rockslide in Southwest China. Eng Geol 86:17–27. https://doi.org/10.1016/j.enggeo.2014.08.021
Wang GL, Wu FQ, Qi SW (2012) Research on failure mechanism of cantilever-pull type collapse. Rock Soil Mech 33:269–274. https://doi.org/10.16285/j.rsm.2012.s2.009
Wang YC, Ju NP, Zhao JJ, Xiang XQ (2013a) Formation mechanism of landslide above the mined out area in gently inclined coal beds. J Eng Geol 21:61–68. https://doi.org/10.3969/j.issn.1004-9665.2013.01.007
Wang ZQ, Li PF, Wang L, Gao Y, Guo XF, Chen CF (2013b) Method of division and engineering use of “three band” in the stope again. J China Coal Soc 38:28–293. https://doi.org/10.13225/j.cnki.jccs.2013.s2.027
Xu Q, Huang RQ, Yin YP, Hou SS, Dong XJ, Fan XM, Tang MG (2009) The Jiwei landslide of June 5, 2009 in Wulong, Chongqing: characteristics and failure mechanism. J Eng Geol 17:433–444. https://doi.org/10.3969/j.issn.1004-9665.2009.04.001
Yang CH, Wang YY, Li JG, Gao F (2007) Testing study about the effect of different water content on rock creep law. J China Coal Soc 32:695–699. https://doi.org/10.13225/j.cnki.jccs.2007.07.005
Yin ZM (2010) Stability analysis of Masangwan landslide influenced by underground mining. Dissertation, Chongqing University
Yin YP (2011) Recent catastrophic landslides and mitigation in China. J Rock Mech Geotech Eng 3:10–18. https://doi.org/10.3724/SP.J.1235.2011.00010
Yin YP, Zhu JL, Yang SY (2010) Investigation of a high speed and long run-out rockslide debris-flow at Dazhai in Guanling of Guizhou province. J Eng Geol 18:445–454. https://doi.org/10.3969/j.issn.1004-9665.2010.04.002
Yin YP, Sun P, Zhang M, Li B (2011) Mechanism on apparent dip sliding of oblique inclined bedding rockslide at Jiwei, Chongqing, China. Landslides 8:49–65. https://doi.org/10.1007/s10346-010-0237-5
Yin YP, Liu CZ, Chen HQ, Ren J, Zhu CB (2013) Investigation on catastrophic landslide of January 11, 2013 at Zhaojiagou, Zhenxiong county, Yunnan province. J Eng Geol 21:6–15. https://doi.org/10.3969/j.issn.1004-9665.2013.01.002
Zhao JJ, Xiao JG, Xiang XQ, Huang RQ, Wang YC, Shi WB (2014) Failure mechanism numerical simulation of mining landslide with gentle bedding coal strata. J China Coal Soc 39:424–429. https://doi.org/10.13225/j.cnki.jccs.2013.0365
Zhao T, Zhang Z, Yin Y, Tan Y, Liu X (2018) Ground control in mining steeply dipping coal seams by backfilling with waste rock. J S Afr Inst Min Metall 118:15–26. https://doi.org/10.17159/2411-9717/2018/v118n1a3
Zou YF, Chai HB (2013) Similarity theory of mining subsidence and its application. Science and Technology Press, Beijing
Zou ZX, Tang HM, Xiong CR, Wu YP, Liu X, Liao SB (2012) Geomechanical model of progressive failure for large consequent bedding rockslide and its stability analysis. Chin J Rock Mech Eng 31:2222–2231. https://doi.org/10.3969/j.issn.1000-6915.2012.11.010
Acknowledgements
This study is funded by the Independent Research Key Project of the Coal Mine Disaster Dynamics and Control State Key Laboratory (2011DA105287-ZD201504).
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Tang, J., Dai, Z., Wang, Y. et al. Fracture Failure of Consequent Bedding Rock Slopes After Underground Mining in Mountainous Area. Rock Mech Rock Eng 52, 2853–2870 (2019). https://doi.org/10.1007/s00603-019-01876-8
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DOI: https://doi.org/10.1007/s00603-019-01876-8