A cohesion loss model for determining residual strength of deep bedded sandstone

Abstract

Rock residual strength, as an important input parameter, plays an indispensable role in proposing the reasonable and scientific scheme about stope design, underground tunnel excavation and stability evaluation of deep chambers. Therefore, previous residual strength models of rocks established were reviewed. And corresponding related problems were stated. Subsequently, starting from the effects of bedding and whole life-cycle evolution process, series of triaxial mechanical tests of deep bedded sandstone with five bedding angles were conducted under different confining pressures. Then, six residual strength models considering the effects of bedding and whole life-cycle evolution process were established and evaluated. Finally, a cohesion loss model for determining residual strength of deep bedded sandstone was verified. The results showed that the effects of bedding and whole life-cycle evolution process had both significant influences on the evolution characteristic of residual strength of deep bedded sandstone. Additionally, residual strength parameters: residual cohesion and residual internal friction angle of deep bedded sandstone were not constant, which both significantly changed with increasing bedding angle. Besides, the cohesion loss model was the most suitable for determining and estimating the residual strength of bedded rocks, which could provide more accurate theoretical guidance for the stability control of deep chambers.

Keywords

residual strength / deep bedded sandstone / whole life-cycle evolution process / cohesion loss model / rock mechanics

References

[1] BrownE T, BrayJ W, LadanyiB, et al.. Ground response curves for rock tunnels [J]. Journal of Geotechnical Engineering, 1983, 109(1): 15-39

[2] AlejanoL R, Rodriguez-DonoA, AlonsoE, et al.. Ground reaction curves for tunnels excavated in different quality rock masses showing several types of post-failure behaviour [J]. Tunnelling and Underground Space Technology, 2009, 24(6): 689-705

[3] AlejanoL R, Rodríguez-DonoA, VeigaM. Plastic radii and longitudinal deformation profiles of tunnels excavated in strain-softening rock masses [J]. Tunnelling and Underground Space Technology, 2012, 30: 169-182

[4] CuiL, ZhengJ-j, ZhangR-j, et al.. Elastoplastic analysis of a circular opening in rock mass with confining stress-dependent strain-softening behaviour [J]. Tunnelling and Underground Space Technology, 2015, 50: 94-108

[5] GaoF-q, KangH-pu. Effects of pre-existing discontinuities on the residual strength of rock mass—Insight from a discrete element method simulation [J]. Journal of Structural Geology, 2016, 85: 40-50

[6] CaiM, KaiserP K, TasakaY, et al.. Determination of residual strength parameters of jointed rock masses using the GSI system [J]. International Journal of Rock Mechanics and Mining Sciences, 2007, 44(2): 247-265

[7] GaoF-q, KangH-pu. Experimental study on the residual strength of coal under low confinement [J]. Rock Mechanics and Rock Engineering, 2017, 50(2): 285-296

[8] PengJ, CaiM, RongG, et al.. Determination of confinement and plastic strain dependent post-peak strength of intact rocks [J]. Engineering Geology, 2017, 218: 187-196

[9] WaltonG, LabrieD, AlejanoL R. On the residual strength of rocks and rockmasses [J]. Rock Mechanics and Rock Engineering, 2019, 52(11): 4821-4833

[10] MasI D, PierceM E, DarcelC, et al.. The synthetic rock mass approach for jointed rock mass modelling [J]. International Journal of Rock Mechanics and Mining Sciences, 2011, 48(2): 219-244

[11] ShaoJ F, DuveauG, HoteitN, et al.. Time dependent continuous damage model for deformation and failure of brittle rock [J]. International Journal of Rock Mechanics and Mining Sciences, 1997, 34(34): 285.e1-285.e13

[12] MaL-j, XuH-f, TongQ, et al.. Post-yield plastic frictional parameters of a rock salt using the concept of mobilized strength [J]. Engineering Geology, 2014, 177: 25-31

[13] WaltonG, ArzúaJ, AlejanoL R, et al.. A laboratory-testing-based study on the strength, deformability, and dilatancy of carbonate rocks at low confinement [J]. Rock Mechanics and Rock Engineering, 2015, 48(3): 941-958

[14] TiwariG, PanditB, LathaG M, et al.. Probabilistic analysis of tunnels considering uncertainty in peak and post-peak strength parameters [J]. Tunnelling and Underground Space Technology, 2017, 70: 375-387

[15] AlejanoL R, WaltonG, GainesS. Residual strength of granitic rocks [J]. Tunnelling and Underground Space Technology, 2021, 118104189

[16] SinghM, SinghB. Modified Mohr-Coulomb criterion for non-linear triaxial and polyaxial strength of jointed rocks [J]. International Journal of Rock Mechanics and Mining Sciences, 2012, 51: 43-52

[17] TanT, ZhangC-y, LiW-r, et al.. A fracture surface roughness coefficient (FSRC) model for determining residual strength of rocks [J]. Construction and Building Materials, 2024, 431136570

[18] HeM-m, ZhangZ-q, ZhengJ, et al.. A new perspective on the constant mi of the Hoek-Brown failure criterion and a new model for determining the residual strength of rock [J]. Rock Mechanics and Rock Engineering, 2020, 53(9): 3953-3967

[19] HeM-m, ZuoJ-p, YuanZ-y, et al.. Criterion for residual strength and brittle-ductile transition of brittle rock under triaxial stress conditions [J]. Geoenergy Science and Engineering, 2024, 243213340

[20] PengJ, TangZ-c, HouD. A GSI-softening model for characterizing strength behavior of thermally-damaged rock [J]. Engineering Geology, 2021, 292106251

[21] XieS-j, LinH, ChenY-f, et al.. Modified MohrCoulomb criterion for nonlinear strength characteristics of rocks [J]. Fatigue & Fracture of Engineering Materials & Structures, 2024, 47(6): 2228-2242

[22] LabuzJ F, ZangAUlusayR. Mohr-Coulomb failure criterion [M]. The ISRM Suggested Methods for Rock Characterization, Testing and Monitoring, 20072014

[23] JosephT GEstimation of the post-failure stiffness of rock [D], 2000, Edmonton, Alberta. University of Alberta.

[24] PengJ, RongG, CaiM, et al.. An empirical failure criterion for intact rocks [J]. Rock Mechanics and Rock Engineering, 2014, 47(2): 347-356

[25] HoekE, BrownE T. Practical estimates of rock mass strength [J]. International Journal of Rock Mechanics and Mining Sciences, 1997, 34(8): 1165-1186

[26] WaltonG, GainesS, AlejanoL R. Validity of continuous-failure-state unloading triaxial tests as a means to estimate the residual strength of rocks [J]. Journal of Rock Mechanics and Geotechnical Engineering, 2021, 13(4): 717-726

[27] PengJ, CaiM. A cohesion loss model for determining residual strength of intact rocks [J]. International Journal of Rock Mechanics and Mining Sciences, 2019, 119: 131-139

[28] SongZ-x, ZhangJ-w, WangS-y, et al.. Energy evolution characteristics and weak structure- “energy flow” impact damaged mechanism of deep-bedded sandstone [J]. Rock Mechanics and Rock Engineering, 2023, 56(3): 2017-2047

[29] SongZ-x, ZhangJ-w, ZhangY, et al.. Characterization and evaluation of brittleness of deep bedded sandstone from the perspective of the whole life-cycle evolution process [J]. International Journal of Mining Science and Technology, 2023, 33(4): 481-502

[30] SongZ-x, ZhangJ-w, ZhaoS-k, et al.. Brittleness of layer sandstone under triaxial loading and unloading [J]. Journal of Central South University, 2023, 30(7): 2234-2251

[31] SongZ-x, ZhangJ-w, WuS-kang. MohrCoulomb and modified Hoek-Brown strength criteria of layered sandstone considering the unloading effect and anisotropy [J]. Sustainability, 2023, 151914418

[32] HajiabdolmajidV, KaiserP K, MartinC D. Modelling brittle failure of rock [J]. International Journal of Rock Mechanics and Mining Sciences, 2002, 39(6): 731-741

[33] PariseauW G. Fitting failure criteria to laboratory strength tests [J]. International Journal of Rock Mechanics and Mining Sciences, 2007, 44(4): 637-646

[34] KumarR, SharmaK G, VaradarajanA. Post-peak response of some metamorphic rocks of India under high confining pressures [J]. International Journal of Rock Mechanics and Mining Sciences, 2010, 47(8): 1357-1362

[35] RafieiR H, MartinC D. Cohesion degradation and friction mobilization in brittle failure of rocks [J]. International Journal of Rock Mechanics and Mining Sciences, 2018, 106: 1-13

[36] ZhangJ-w, SongZ-x, ZhangL-c, et al.. Mechanical behaviours of bedded sandstone under hydromechanical coupling [J]. Journal of Rock Mechanics and Geotechnical Engineering, 2024, 16(4): 1245-1261

[37] SaroglouH, TsiambaosG. A modified Hoek-Brown failure criterion for anisotropic intact rock [J]. International Journal of Rock Mechanics and Mining Sciences, 2008, 45(2): 223-234

[38] SinghM, RajA, SinghB. Modified Mohr-Coulomb criterion for non-linear triaxial and polyaxial strength of intact rocks [J]. International Journal of Rock Mechanics and Mining Sciences, 2011, 48(4): 546-555

[39] SinghM, SamadhiyaN K, KumarA, et al.. A nonlinear criterion for triaxial strength of inherently anisotropic rocks [J]. Rock Mechanics and Rock Engineering, 2015, 48(4): 1387-1405

[40] SongZ-x, ZhangJ-w, DongX-k, et al.. Time-dependent behaviors and volumetric recovery phenomenon of sandstone under triaxial loading and unloading [J]. Journal of Central South University, 2022, 29(12): 4002-4020

[41] WuS-k, ZhangJ-w, SongZ-x, et al.. Review of the development status of rock burst disaster prevention system in China [J]. Journal of Central South University, 2023, 30(11): 3763-3789

[42] ChenJ-h, ZengB-q, XuW-y, et al.. Mechanical behaviour and damage constitutive model of semi-circular arch tunnels with straight walls under soaking conditions [J]. Engineering Failure Analysis, 2025, 169109137

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Central South University