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Experimental and Numerical Investigation on the Bearing and Failure Mechanism of Multiple Pillars Under Overburden

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Abstract

To reveal the mechanical response of a multi-pillar supporting system under external loads, compressive tests were carried out on single-pillar and double-pillar specimens. The digital speckle correlation method and acoustic emission technique were applied to record and analyse information of the deformation and failure processes. Numerical simulations with the software programme PFC2D were also conducted. In the compressive process of the double-pillar system, if both individual pillars have the same mechanical properties, each pillar deforms similarly and reaches the critical stable state almost simultaneously by sharing equal loads. If the two individual pillars have different mechanical properties, the pillar with higher elastic modulus or lower strength would be damaged and lose its bearing capacity firstly. The load would then be transferred to the other pillar under a load redistribution process. When the pillar with higher strength is strong enough, the load carried by the pillar system would increase again. However, the maximum bearing load of the double-pillar system is smaller than the sum of peak load of individual pillars. The study also indicates that the strength, elastic modulus, and load state of pillars all influence the supporting capacity of the pillar system. In underground space engineering, the appropriate choice of pillar dimensions and layout may play a great role in preventing the occurrence of cascading pillar failure.

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Abbreviations

DSCM:

Digital speckle correlation method

PFC2D :

Two-dimensional particle flow code

AE:

Acoustic emission

RIO:

Region of interest

EMR:

Elastic modulus rate

LCR:

Load-carrying rate

P :

The force acting on single-pillar system

a, b, c, d, e :

The load state of pillar in single-pillar system

a′, b′, c′, d′, e′:

The cumulative AE counts state of pillar in single-pillar system

a I, c I, e I :

The load state of pillar I in double-pillar system

\(a_{\text{I}}^{\prime } ,c_{\text{I}}^{\prime } ,e_{\text{I}}^{\prime }\) :

The cumulative AE counts state of pillar I in double-pillar system

a II, c II, e II :

The load state of pillar II in double-pillar system

\(a_{\text{II}}^{\prime } ,c_{\text{II}}^{\prime } ,e_{\text{II}}^{\prime }\) :

The cumulative AE counts state of pillar II in double-pillar system

E I, E II :

The elastic modulus of pillar I, pillar II, respectively

L I, L II :

The load carried by pillar I, pillar II, respectively

F I+II, F I, F II :

The limit bearing capacity of double-pillar system, pillar I and pillar II, respectively

m :

The start point of load redistribution

n :

The endpoint of load redistribution

u, u I, u II :

The displacement increment of double-pillar system, pillar I and pillar II, respectively

P I+II, P I, P II :

The forces acting on double-pillar system, pillar I and pillar II, respectively

f(u I), f(u I):

The stiffness coefficient of pillar I, pillar II, respectively

A, B, C :

The local extreme load value state of double-pillar system

References

  • Bérest P, Brouard B, Feuga B, Karimi M (2008) The 1873 collapse of the Saint–Maximilien panel at the Varangeville salt mine. Int J Rock Mech Miner Sci 45:1025–1043

    Article  Google Scholar 

  • Chen ZH, Tang CA, Huang RQ (1997) A double rock sample model for rock bursts. I. Int J Rock Mech Miner Sci 34:991–1000

    Article  Google Scholar 

  • Chen SL, Lee SC, Gui MW (2009) Effects of rock pillar width on the excavation behavior of parallel tunnels. Tunn Undergr Space Technol 24:148–154

    Article  Google Scholar 

  • Cording EJ, Hashash YMA, Oh J (2015) Analysis of pillar stability of mined gas storage caverns in shale formations. Eng Geol 184:71–80

    Article  Google Scholar 

  • Esterhuizen GS, Dolinar DR, Ellenberger JL (2011) Pillar strength in underground stone mines in the United States. Int J Rock Mech Miner Sci 48:42–50

    Article  Google Scholar 

  • Fang Z, Harrison JP (2002) Numerical analysis of progressive fracture and associated behaviour of mine pillars by use of a local degradation model. Trans Inst Miner Metall 111:59–72

    Google Scholar 

  • Ghasemi E, Ataei M, Shahriar K (2014) An intelligent approach to predict pillar sizing in designing room and pillar coal mines. Int J Rock Mech Miner Sci 65:86–95

    Google Scholar 

  • Guo L, Sun W, He X, Xu Z (2008) Application of DSCM in prediction of potential fatigue crack path on concrete surface. Eng Fract Mech 75:643–651

    Article  Google Scholar 

  • Hustrulid WA (1976) A review of coal pillar strength formulas. Rock Mech 8:115–145

    Article  Google Scholar 

  • Itasca (2008) PFC2D: Particle flow code in 2 dimensions, version 4.0, user’s manual. Itasca Consulting Group. Inc., Minneapolis, MN

  • Kaiser PK, Tang CA (1998) Numerical simulation of damage accumulation and seismic energy release during brittle rock failure-Part II: Rib pillar collapse. Int J Rock Mech Miner Sci 35:123–134

    Article  Google Scholar 

  • Li X, Zou Y, Zhou Z (2014) Numerical simulation of the rock SHPB test with a special shape striker based on the discrete element method. Rock Mech Rock Eng 47:1693–1709

    Article  Google Scholar 

  • Lockner DA, Byerlee JD, Kuksenko V, Ponomarev A, Sidorin A (1991) Quasi-static fault growth and shear fracture energy in granite. Nature 350:39–42

    Article  Google Scholar 

  • Martin CD, Chandler NA (1994) The progressive fracture of Lac du Bonnet granite. Int J Rock Mech Miner Geomech Abstr 31:643–659

    Article  Google Scholar 

  • Martin CD, Maybee WG (2000) The strength of hard-rock pillars. Int J Rock Mech Miner Sci 37:1239–1246

    Article  Google Scholar 

  • Morgan SP, Johnson CA, Einstein HH (2013) Cracking processes in Barre granite: fracture process zones and crack coalescence. Int J Fract 180:177–204

    Article  Google Scholar 

  • Mortazavi A, Hassani FP, Shabani M (2009) A numerical investigation of rock pillar failure mechanism in underground openings. Comput Geotech 36:691–697

    Article  Google Scholar 

  • Musa AI, David S, Erling N (2015) Stochastic assessment of pillar stability at Laisvall mine using artificial neural network. Tunn Undergr Space Technol 49:307–319

    Article  Google Scholar 

  • Potyondy DO, Cundall PA (2004) A bonded-particle model for rock. Int J Rock Mech Miner Sci 41:1329–1364

    Article  Google Scholar 

  • Poulsen BA, Shen B (2013) Subsidence risk assessment of decommissioned bord-and-pillar collieries. Int J Rock Mech Miner Sci 60:312–320

    Google Scholar 

  • Poulsen BA, Shen B, Williams DJ et al (2014) Strength reduction on saturation of coal and coal measures rocks with implications for coal pillar strength. Int J Rock Mech Miner Sci 71:41–52

    Google Scholar 

  • Van-der-Merwe JN (2003a) New pillar strength formula for South African coal. J S Afr Inst Miner Metall 103:281–292

    Google Scholar 

  • Van-der-Merwe JN (2003b) Predicting coal pillar life in South Africa. J S Afr Inst Miner Metall 103:293–302

    Google Scholar 

  • Wang SY, Sloan SW, Huang ML, Tang CA (2011) Numerical study of failure mechanism of serial and parallel rock pillars. Rock Mech Rock Eng 44:179–198

    Article  Google Scholar 

  • Wattimena RK (2014) Predicting the stability of hard rock pillars using multinomial logistic regression. Int J Rock Mech Miner Sci 71:33–40

    Google Scholar 

  • Zhou Z, Jiang Y, Zou Y, Wong L (2014) Degradation mechanism of rock under impact loadings by integrated investigation on crack and damage development. J Cent South Univ 21:4646–4652

    Article  Google Scholar 

  • Zipf RK Jr, Mark C (1997) Design methods to control violent pillar failures in room-and-pillar mines. Trans Inst Min Metall Sect A 106:124–132

    Google Scholar 

Download references

Acknowledgements

The work reported here was supported by financial grants from the National Basic Research Program of China (2015CB060200), the National Natural Science Foundation of China (51322403, 51274254), Hunan province science and technology plan (2016SK2003) and the state scholarship fund (201606370118). The authors wish to acknowledge these financial contributions and their appreciation of the organizations for supporting this basic research.

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Correspondence to Lu Chen.

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Zhou, Z., Chen, L., Zhao, Y. et al. Experimental and Numerical Investigation on the Bearing and Failure Mechanism of Multiple Pillars Under Overburden. Rock Mech Rock Eng 50, 995–1010 (2017). https://doi.org/10.1007/s00603-016-1140-8

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