Numerical analysis of the stability and minimum required strength of sill mats considering creep behavior of rock mass

Chuan Fan , Li Li , Guangsheng Liu , Xiaocong Yang , Weidong Song , Lijie Guo , Ruofan Wang

International Journal of Minerals, Metallurgy, and Materials ›› 2025, Vol. 32 ›› Issue (7) : 1471 -1482.

PDF
International Journal of Minerals, Metallurgy, and Materials ›› 2025, Vol. 32 ›› Issue (7) : 1471 -1482. DOI: 10.1007/s12613-024-3029-y
Research Article
research-article

Numerical analysis of the stability and minimum required strength of sill mats considering creep behavior of rock mass

Author information +
History +
PDF

Abstract

The underhand cut-and-fill mining method is widely employed in underground mines, especially when the quality of surrounding rock mass or ore body is inferior or subjected to high stresses. Such a method typically requires the construction of sill mats with cemented backfill to provide operators with safe artificial roofs. Accurate estimation of the minimum required strength of the sill mat is crucial to minimize binder consumption and ensure its stability upon base exposure. Over the years, only a few publications were devoted to determining the minimum required cohesion (cmin) of sill mats. None of them considered rock wall closure to be associated with the creep of surrounding rock mass. Moreover, the effect of rock wall closure associated with rock creep on the cmin of the sill mat remains unknown. Thus, a series of numerical simulations was performed to fill this gap. The influence of rock creep on the cmin of base-exposed sill mat was investigated for the first time. The numerical results indicate that Mitchell’s models could be suitable for sill mats subjected to negligible wall closure. However, this scenario is rare, especially when mine depth is large. In general, the cmin of sill mats increases as mine depth increases. Neglecting rock creep would significantly underestimate the cmin of sill mats. When mine depth is large and the rock mass exhibits severe creep, cemented backfill with ductile behavior (i.e., with low stiffness but enough strength) should be considered to reduce binder consumption and prevent crushing failure. In all cases, promptly filling the mined-out stope below the sill mat can improve its stability and reduce its cmin value.

Keywords

underhand cut-and-fill mining method / sill mat / cemented backfill / rock creep / wall closure / FLAC3D

Cite this article

Download citation ▾
Chuan Fan, Li Li, Guangsheng Liu, Xiaocong Yang, Weidong Song, Lijie Guo, Ruofan Wang. Numerical analysis of the stability and minimum required strength of sill mats considering creep behavior of rock mass. International Journal of Minerals, Metallurgy, and Materials, 2025, 32(7): 1471-1482 DOI:10.1007/s12613-024-3029-y

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

HughesPBDesign Guidelines: Underhand Cut and Fill Cemented Paste Backfill Sill Beams, 2014, Vancouver. University of British Columbia.

[2]

RaffaldiMJ, SeymourJB, AbrahamH, ZahlE, BoardM. Cemented paste backfill geomechanics at the Lucky Friday mine. Proceedings of the 52nd U.S. Rock Mechanics/Geomechanics Symposium, 2018

[3]

PagéPÉvaluation Numérique de la Stabilité des Chantiers: Contraintes Élastiques Autour des Chantiers et Résistance Nécessaire des Piliers-semelles en Remblai Cimenté, 2018, Québec. Polytechnique Montréal.

[4]

SeymourJB, MartinLA, RaffaldiMJ, WarrenSN, SandbakLA. Long-term stability of a 13.7 × 30.5-m (45 × 100-ft) undercut span beneath cemented rockfill at the turquoise ridge mine, Nevada. Rock Mech. Rock Eng., 2019, 52124907.

[5]

TanYY, YuX, ElmoD, XuLH, SongWD. Experimental study on dynamic mechanical property of cemented tailings backfill under SHPB impact loading. Int. J. Miner. Metall. Mater., 2019, 264404.

[6]

TanYY, DavideE, ZhouYC, SongWD, MengX. Long-term mechanical behavior and characteristics of cemented tailings backfill through impact loading. Int. J. Miner. Metall. Mater., 2020, 272140.

[7]

J. Tao, X.G. Yang, P.P. Ding, X.L. Li, J.W. Zhou, and G.D. Lu, A fully coupled thermo-hydro-mechanical-chemical model for cemented backfill application in geothermal conditions, Eng. Geol., 302(2022), art. No. 106643.

[8]

WangRF, LiL. Burgers creep model used for describing and predicting the creep behaviour of a rock under uniaxial and triaxial compression test conditions. Proceedings of the 71st Canadian Geotechnical Conference, Canadian Geotechnical Society, 2018

[9]

WangRF, LiL. Time-dependent stability analyses of side-exposed backfill considering creep of surrounding rock mass. Rock Mech. Rock Eng., 2022, 5542255.

[10]

LuHJ, WangYR, GanDQ, WuJ, WuXJ. Numerical investigation of the mechanical behavior of the backfill: Rock composite structure under triaxial compression. Int. J. Miner. Metall. Mater., 2023, 305802.

[11]

MaQH, LiuGS, YangXC, GuoLJ. Physical model investigation on effects of drainage condition and cement addition on consolidation behavior of tailings slurry within back-filled stopes. Int. J. Miner. Metall. Mater., 2023, 3081490.

[12]

XiaKZ, ChenCX, LiuXM, WangY, LiuXT, YuanJH. Estimating shear strength of high-level pillars supported with cemented backfilling using the Hoek–Brown strength criterion. J. Rock Mech. Geotech. Eng., 2024, 162454.

[13]

K.Z. Xia, C.X. Chen, X.T. Liu, X.M. Liu, J.H. Yuan, and S. Dang, Assessing the stability of high-level pillars in deeply-buried metal mines stabilized using cemented backfill, Int. J. Rock Mech. Min. Sci., 170(2023), art. No. 105489.

[14]

CaiMF, FengZL, GuoQF, YinX, MaMH, XiX. Roughness characterization and shearing dislocation failure for rock–backfill interface. Int. J. Miner. Metall. Mater., 2024, 3161167.

[15]

LiuYK, WangYM, ChenQS. Using cemented paste backfill to tackle the phosphogypsum stockpile in China: A down-to-earth technology with new vitalities in pollutant retention and CO2 abatement. Int. J. Miner. Metall. Mater., 2024, 3171480.

[16]

MitchellRJ. Sill mat evaluation using centrifuge models. Min. Sci. Technol., 1991, 133301.

[17]

StoneDMR. The optimization of mix designs for cemented rockfill. Proceedings of Fifth International Symposium on Mining with Backfill, MINEFILL’93, 1993249

[18]

PakalnisR. Empirical design methods in practice. Proceedings of the International Seminar on Design Methods in Underground Mining, 201537.

[19]

PakalnisR, CaceresC, ClappK, et al.. Design spans-underhand cut and fill mining. Proceedings of 107th CIM-AGM, 2005

[20]

SobhiMA, LiL. Numerical investigation of the stresses in backfilled stopes overlying a sill mat. J. Rock Mech. Geotech. Eng., 2017, 93490.

[21]

PagéP, LiL, YangPY, SimonR. Numerical investigation of the stability of a base-exposed sill mat made of cemented backfill. Int. J. Rock Mech. Min. Sci., 2019, 114195.

[22]

A.M.T. Keita, A. Jahanbakhshzadeh, and L. Li, Numerical analysis of the stability of arched sill mats made of cemented backfill, Int. J. Rock Mech. Min. Sci., 140(2021), art. No. 104667.

[23]

KeitaAMT, JahanbakhshzadehA, LiL. Numerical analysis of the failure mechanisms of sill mats made of cemented backfill. Int. J. Geotech. Eng., 2022, 167802.

[24]

MalanDF, VoglerUW, DrescherK. Time-dependent behaviour of hard rock in deep level gold mines. J. South. Afr. Inst. Min. Metall., 1997, 973135

[25]

MalanDF, NapierJAL, RensburgALJV. Stope deformation measurements as a diagnostic measure of rock behaviour: A decade of research. J. South. Afr. Inst. Min. Metall., 2007, 10711743

[26]

GülerGAnalysis of the Rock Mass Behaviour as Associated with Ventersdorp Contact Reef Stopes, South Africa, 1998, Johannesburg. University of the Witwatersrand.

[27]

MalanDF. Time-dependent behaviour of deep level tabular excavations in hard rock. Rock Mech. Rock Eng., 1999, 322123.

[28]

MalanDF. Manuel Rocha medal recipient simulating the time-dependent behaviour of excavations in hard rock. Rock Mech. Rock Eng., 2002, 354225.

[29]

DrescherK, HandleyMF. Aspects of time-dependent deformation in hard rock at great depth. J. South. Afr. Inst. Min. Metall., 2003, 1035325

[30]

MalanDF, NapierJAL. Reassessing continuous stope closure data using a limit equilibrium displacement discontinuity model. J. South. Afr. Inst. Min. Metall., 2018, 1183227.

[31]

RaffaldiMJ, SeymourJB, RichardsonJ, ZahlE, BoardM. Cemented paste backfill geomechanics at a narrow-vein underhand cut-and-fill mine. Rock Mech. Rock Eng., 2019, 52124925.

[32]

MansouriH, AjalloeianR. Mechanical behavior of salt rock under uniaxial compression and creep tests. Int. J. Rock Mech. Min. Sci., 2018, 11019.

[33]

ParaskevopoulouC, PerrasM, DiederichsM, LoewS, LamT, JensenM. Time-dependent behaviour of brittle rocks based on static load laboratory tests. Geotech. Geol. Eng., 2018, 361337.

[34]

M. Li, J.X. Zhang, G.H. Meng, Y. Gao, and A.L. Li, Testing and modelling creep compression of waste rocks for backfill with different lithologies, Int. J. Rock Mech. Min. Sci., 125(2020), art. No. 104170.

[35]

TaheriSR, PakA. Casing failure in salt rock: Numerical investigation of its causes. Rock Mech. Rock Eng., 2020, 5393903.

[36]

S. Li, W.C. Zhu, L.L. Niu, K. Guan, and T. Xu, Experimental study on creep of double-rock samples disturbed by dynamic impact, Int. J. Rock Mech. Min. Sci., 146(2021), art. No. 104895.

[37]

L.J. Ma, Y.X. Wang, M.Y. Wang, B. Xue, and L.Q. Duan, Mechanical properties of rock salt under combined creep and fatigue, Int. J. Rock Mech. Min. Sci., 141(2021), art. No. 104654.

[38]

C. Lyu, J.F. Liu, Y. Ren, C. Liang, and Y.L. Liao, Study on very long-term creep tests and nonlinear creep-damage constitutive model of salt rock, Int. J. Rock Mech. Min. Sci., 146(2021), art. No. 104873.

[39]

WangCP, LiuJF, ChenL, LiuJ, WangL, LiaoYL. Creep constitutive model considering nonlinear creep degradation of fractured rock. Int. J. Min. Sci. Technol., 2024, 341105.

[40]

DohertyJP, HasanA, SuazoGH, FourieA. Investigation of some controllable factors that impact the stress state in cemented paste backfill. Can. Geotech. J., 2015, 52121901.

[41]

QiCC, FourieA. Numerical investigation of the stress distribution in backfilled stopes considering creep behaviour of rock mass. Rock Mech. Rock Eng., 2019, 5293353.

[42]

WangRF, LiuL, ZhuMB, et al.. Assessing ground stability of a vertical backfilled stope considering creep behaviors of surrounding rocks. J. Rock Mech. Geotech. Eng., 2025, 171187.

[43]

Z.C. Yin, X. Zhang, X.H. Li, J.Q. Zhang, and Q.S. Zhang, Modified Burgers model of creep behavior of grouting-reinforced body and its long-term effect on tunnel operation, Tunn. Undergr. Space Technol., 127(2022), art. No. 104537.

[44]

ItascaFLAC3D-Fast Lagrangian Analysis of Continua in Three Dimensions, 2019, Minneapolis. Itasca Consulting Group, Inc.. Ver.6.0

[45]

JaegerJC, CookNGW, ZimmermanRWFundamentals of Rock Mechanics, 20074th ed.

[46]

D. Amitrano and A. Helmstetter, Brittle creep, damage, and time to failure in rocks, J. Geophys. Res. Solid Earth, 111(2006), No. B11, art. No. B11201.

[47]

MitchellRJ, WongBC. Behaviour of cemented tailings sands. Can. Geotech. J., 1982, 193289.

[48]

LiuGS, LiL, YangXC, GuoLJ. A numerical analysis of the stress distribution in backfilled stopes considering non-planar interfaces between the backfill and rock walls. Int. J. Geotech. Eng., 2016, 103271.

[49]

L. Li, Special issue on numerical modeling in civil and mining geotechnical engineering, Processes, 10(2022), No. 8, art. No. 1571.

[50]

BradyBHG, BrownETRock Mechanics for Underground Mining, 20063rd ed.

[51]

J.B. Dalcé, L. Li, and P.Y. Yang, Experimental study of uniaxial compressive strength (UCS) distribution of hydraulic backfill associated with segregation, Minerals, 9(2019), No. 3, art. No. 147.

[52]

X.P. Peng, L.J. Guo, G.S. Liu, X.C. Yang, and X.Z. Chen, Experimental study on factors influencing the strength distribution of in situ cemented tailings backfill, Metals, 11(2021), No. 12, art. No. 2059.

[53]

WangY, WangZQ, WuAX, et al.. Experimental research and numerical simulation of the multi-field performance of cemented paste backfill: Review and future perspectives. Int. J. Miner. Metall. Mater., 2023, 302193.

[54]

FalaknazN, AubertinM, LiL. Numerical investigation of the geomechanical response of adjacent backfilled stopes. Can. Geotech. J., 2015, 52101507.

[55]

G.S. Liu, L. Li, X.C. Yang, and L.J. Guo, Numerical analysis of stress distribution in backfilled stopes considering interfaces between the backfill and rock walls, Int. J. Geomech., 17(2017), No. 2, art. No. 06016014.

[56]

LiuGS, LiL, YangXC, GuoLJ. Stability analyses of vertically exposed cemented backfill: A revisit to Mitchell’s physical model tests. Int. J. Min. Sci. Technol., 2016, 2661135.

[57]

P.Y. Yang, L. Li, and M. Aubertin, A new solution to assess the required strength of mine backfill with a vertical exposure, Int. J. Geomech., 17(2017), No. 10, art. No. 04017084.

RIGHTS & PERMISSIONS

University of Science and Technology Beijing

AI Summary AI Mindmap
PDF

97

Accesses

0

Citation

Detail

Sections
Recommended

AI思维导图

/