Study of a damage constitutive model for water-bearing coal measures sedimentary rock with nonlinear deformation during compaction stage

Weinan Wang , Qiangling Yao , Aiwen Wang , Karen A. Hudson-Edwards , Chuangkai Zheng , Lun Yan , Lianpeng Dai , Yihong Liu

Geohazard Mechanics ›› 2023, Vol. 1 ›› Issue (3) : 244 -254.

PDF (2340KB)
Geohazard Mechanics ›› 2023, Vol. 1 ›› Issue (3) :244 -254. DOI: 10.1016/j.ghm.2023.09.002
research-article

Study of a damage constitutive model for water-bearing coal measures sedimentary rock with nonlinear deformation during compaction stage

Author information +
History +
PDF (2340KB)

Abstract

The problem of repeated immersion-induced fatigue damage in engineering coal measures sedimentary rock, including coal-rock pillars, reservoir bank slopes, and water-rich tunnels at the boundary of coal mine under- ground reservoirs, has profound implications for their stability, safety, and operation, and can even lead to geological disasters. To address this issue, this paper aims to construct a constitutive model that accurately captures the comprehensive process of deformation and failure in water-bearing coal measures sedimentary rock. It explores the deformation characteristics of these formations and provides a theoretical foundation for numerical simulations of geological disasters induced by water-rock interaction. This study integrates the deformation mechanisms of void and matrix deformation in coal seam sedimentary rocks, while considering the influence of immersion cycles. Subsequently, it formulates a segmented constitutive model to depict the entire process of deformation and failure in cyclically immersed water-bearing coal measures sedimentary rock under uniaxial compression. The proposed model's accuracy and rationality are validated through comparisons with experi- mental research findings and existing theoretical curves from similar models. The results demonstrate the model's effectiveness in describing the deformation behavior of non-dense water-bearing coal measures sedimentary rock under uniaxial compression or low confining pressure before reaching peak stress, although further refinements may be necessary to precisely capture post-peak deformation characteristics. Model parameters, including the deformation caused by voids (γ0) between voids, increase exponentially with immersion times, while the elastic modulus (Ev) of voids and the parameter (F0) related to the average strength of microelements decrease expo- nentially. The homogeneity degree (m) exhibits no discernible pattern. These research outcomes provide valuable insights for the stability control of engineering coal measures sedimentary rock under water-rock interaction and the mitigation of related geological disasters.

Keywords

Cyclic immersion / Water-rock interaction / Void compaction / Deformation characteristic / Constitutive model

Cite this article

Download citation ▾
Weinan Wang, Qiangling Yao, Aiwen Wang, Karen A. Hudson-Edwards, Chuangkai Zheng, Lun Yan, Lianpeng Dai, Yihong Liu. Study of a damage constitutive model for water-bearing coal measures sedimentary rock with nonlinear deformation during compaction stage. Geohazard Mechanics, 2023, 1(3): 244-254 DOI:10.1016/j.ghm.2023.09.002

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

A.D. Huo, L. Yang, J.B. Peng, Y.X. Cheng, C. Jiang, Spatial characteristics of the rainfall induced landslides in the Chinese loess plateau, Hum. Ecol. Risk Assess. 26 (9) ( 2020) 2462-2477.

[2]

J.S. Xu, J.B. Peng, H.B. An, Experimental study on Su-Xi-Chang earth fissures induced by repeated groundwater pumping and impounding, Geomat, Nat. Haz. Risk. 10 (1) ( 2019) 2051-2068.

[3]

C.J. Tang, Q.L. Yao, Q. Xu, C.H. Shan, J.M. Xu, H. Han, et al., Mechanical failure modes and fractal characteristics of coal samples under repeated drying-saturation conditions, Nat. Resour. Res. ( 2021) 1-18.

[4]

W.H. Fang, R.Q. You, H. Hou, J.P. Sun, T.T. Yu, Slope stability analysis under rainfall infiltration condition using the minimum potential energy method, Arch. Civ. Mech. Eng. 23 (1172) ( 2023).

[5]

V.B. Smirnov, R.K. Chadha, A.V. Ponomarev, D. Srinagesh, Prognostic anomalies of induced seismicity in the region of the Koyna-Warna water reservoirs, West India, Izv-Phys. Solid Eart. 49 (2) ( 2013) 243-257.

[6]

L.P. Dai, Y.S. Pan, Z.H. Li, A.W. Wang, Y.H. Xiao, F.Y. Liu, et al., Quantitative mechanism of roadway rockbursts in deep extra-thick coal seams: theory and case histories[J], Tunn. Undergr. Space Technol. 111 ( 2021) 1-14.

[7]

L.P. Dai, Y.S. Pan, C.G. Zhang, A.W. Wang, I. Canbulat, T.W. Shi, et al., New criterion of critical mining stress index for risk evaluation of roadway rockburst, Rock Mech. Rock Eng. 55 (8) ( 2022) 4783-4799.

[8]

Z. Qin, Y. Zhang, S. Zhang, J.W. Zhao, T.F. Wang, K. Shen, Identification of microscopic damage law of rocks through digital image processing of computed tomography images, Trait. Signal. 36 (4) ( 2019) 345-352.

[9]

S.Y. Zhu, S.G. Song, Q. Sun, B. Yan, C.T. Wang, Characteristics of interaction process between deep rock of lower coal seam floor and water under different test conditions, Chin. J. Rock Mech. Eng. 33 (24) ( 2014) 3231-3237.

[10]

C.J. Tang, Q.L. Yao, Z.Y. Li, Y. Zhang, M.H. Ju, Experimental study of shear failure and crack propagation in water-bearing coal samples, Energy Sci. Eng. 7 (5) ( 2019) 2193-2204.

[11]

Q.L. Yao, C.K. Zheng, C.J. Tang, Q. Xu, Z.H. Chong, X.H. Li, Experimental investigation of the mechanical failure behavior of coal specimens with water intrusion, Front. Earth Sci. 7 ( 2020).

[12]

C. Zhu, X.D. Xu, W.R. Liu, F. Xiong, Y. Lin, C. Cao, et al., Softening damage analysis of gypsum rock with water immersion time based on laboratory experiment, IEEE Access 7 ( 2019) 125575-125585.

[13]

R.Q. Hao, J.T. Li, P. Cao, B. Liu, J. Liao, Test of subcritical crack growth and fracture toughness under water-rock interaction in three types of rocks, J Cent. South Univ. 22 (2) ( 2015) 662-668.

[14]

Q.L. Yao, C.J. Tang, Z. Xia, X.L. Liu, L. Zhu, Z.H. Chong, et al., Mechanisms of failure in coal samples from underground water reservoir, Eng. Geol. 267 (1) ( 2020) 1-10.

[15]

Q.L. Yao, C.J. Tang, Z. Xia, Q. Xu, W.N. Wang, X.H. Wang, et al., Experimental study of coal sample damage in acidic water environments, Mine Water Environ. 40 (4) ( 2021) 1003-1015.

[16]

Q.L. Yao, W.N. Wang, L. Zhu, Z. Xia, X.H. Wang, Effects of moisture conditions on mechanical properties and AE and IR characteristics in coal-rock combinations, Arabian J. Geosci. 13 (14) ( 2020).

[17]

V. Maruvanchery, E. Kim, Effects of water on rock fracture properties: studies of mode I fracture toughness, crack propagation velocity, and consumed energy in calcite-cemented sandstone, Geomech. Eng. 17 (1) ( 2019) 57-67.

[18]

A. Daraei, S. Zare, Effect of water content variations on critical and failure strains of rock, KSCE J. Civ. Eng. 22 (9) ( 2018) 1-9.

[19]

L.Q. Yu, Q.L. Yao, Z.H. Chong, Y.H. Li, Q. Xu, H.X. Xie, et al., Mechanical and micro- structural damage mechanisms of coal samples treated with dry-wet cycles, Eng. Geol. 304 (106637) ( 2022) 1-14.

[20]

L.Q. Yu, Q.L. Yao, Z.H. Chong, Y.H. Li, Q. Xu, Z.C. Liu, Experimental study on the moisture migration and triaxial mechanical damage mechanisms of water-bearing coal samples, Int. J. Rock Mech. Min. 160 (105263) ( 2022) 1-13.

[21]

W.N. Wang, Q.L. Yao, C.J. Tang, X.H. Li, Z.H. Chong, Study of the mechanical properties and fracture evolution of sandstone with different moisture contents under true triaxial stress, Arab, J. Sci. Eng. 46 ( 2021) 11497-11518.

[22]

W.N. Wang, Q.L. Yao, C.J. Tang, X.H. Li, Q. Xu, Experimental study on the shear characteristics and weakening mechanism of water-bearing rock joints, Bull. Eng. Geol. Environ. 80 (5) ( 2021) 7653-7668.

[23]

H.X. Xie, X.H. Li, C.H. Shan, Z. Xia, L.Q. Yu, Study on the damage mechanism and energy evolution characteristics of water-bearing coal samples under cyclic loading, Rock Mech. Rock Eng. 56 (2) ( 2023) 1367-1385.

[24]

X. Li, W.G. Cao, Y.H. Su, A statistical damage constitutive model for softening behavior of rocks, Eng. Geol. 143 ( 2012) 1-17.

[25]

H.B. Jiang, K.N. Li, X.B. Hou, Statistical damage model of rocks reflecting strain softening considering the influences of both damage threshold and residual strength, Arabian J. Geosci. 13 (2867) ( 2020) 1-8.

[26]

Y.L. Chen, P. Xiao, X. Du, S.R. Wang, Z.L. Wang, R. Azzam, Study on damage statistical constitutive model of triaxial compression of acid-etched rock under coupling effect of temperature and confining pressure, Materials 14 (23) ( 2021).

[27]

Z.N. Zhu, H. Tian, R. Wang, G.S. Jiang, B. Dou, G. Mei, Statistical thermal damage constitutive model of rocks based on Weibull distribution, Arabian J. Geosci. 14 (6) ( 2021).

[28]

M. Ji, K. Chen, H.J. Guo, Constitutive model of rock uniaxial damage based on rock strength statistics, Adv. Civ. Eng. 2018 ( 2018).

[29]

W.G. Cao, X. Li, H. Zhao,Damage constitutive model for strain-softening rock based on normal distribution and its parameter determination, J. Cent. South Univ. T. 14 (5) ( 2007) 719-724.

[30]

W.N. Wang, Q.L. Yao, C.J. Tang, H.T. Li, H.Y. Liu, C.H. Shan, Mechanical properties damage, fracture evolution, and constitutive model of siltstone under the effect of moisture content, Geofluids 2022 (8599808) ( 2022) 1-18.

[31]

J. Lemaitre, A continuous damage mechanics model for ductile fracture, J. Eng.Mater-T Asmey. 107 (1) ( 1985) 83-89.

[32]

B. Bahmani, R. Abedi, P.L. Clarke, A stochastic bulk damage model based on mohr- coulomb failure criterion for dynamic rock fracture, Appl. Sci. 9 (5) ( 2019).

[33]

S. Zuo, L.H. Zhao, D.P. Deng, Z.B. Wang, Z.G. Zhao, Reliability back analysis of landslide shear strength parameters based on a general nonlinear failure criterion, Int. J. Rock Mech. Min. 126 (104189) ( 2020) 1-9.

[34]

M. Mahetaji, J. Brahma, R.K. Vij, A new extended Mohr-Coulomb criterion in the space of three-dimensional stresses on the in-situ rock, Geomech. Eng. 32 (1) ( 2023) 49-68.

[35]

Y. Zhao, B. Mishra, Q.W. Shi, G.B. Zhao, Size-dependent Mohr-coulomb failure criterion, Bull. Eng. Geol. Environ. 82 (6) ( 2023) 1-15.

[36]

S.J. Xie, Z.U. Han, Y.F. Chen, Y.X. Wang, Y.L. Zhao, H. Lin, Constitutive modeling of rock materials considering the void compaction characteristics, Arch. Civ. Mech. Eng. 22 (2) ( 2022).

[37]

W.G. Cao, C. Zhang, M. He, T. Liu, Statistical damage simulation method of strain softening deformation process for rocks considering characteristics of void compaction stage, Chin. J. Geotech. Eng. 38 (10) ( 2016) 1754-1761.

[38]

Z.L. Wang, Y.C. Li, J.G. Wang, A damage-softening statistical constitutive model considering rock residual strength-ScienceDirect, Comput. Geosci. 33 (1) ( 2007)1-9.

[39]

H.F. Deng, Y.C. Zhang, Y.Y. Zhi, L.L. Duan, J.L. Li, X.S. Sun, et al., Sandstone dynamical characteristics influenced by water-rock interaction of bank slope, Adv. Civ. Eng. 2019 (3279586) ( 2019).

[40]

K.W. Cao, L.Q. Ma, Y. Wu, A.J.S. Spearing, N.M. Khan, Y. Xie, The determination of a damage model for mudstone under uniaxial loading in acidic conditions, Geofluids 2020 (4) ( 2020) 1-12.

AI Summary AI Mindmap
PDF (2340KB)

44

Accesses

0

Citation

Detail

Sections
Recommended

AI思维导图

/