Abstract
Based on the characteristics of real stress distribution in coal mining, the evolution law of plastic zone shape and spatial position were investigated. The stress model of roadway with non-orthogonal state of in-situ stress and mining-induced stress was constructed. The boundary equation of the roadway plastic zone under in-situ stress deflection was deduced. Additionally, the evolution mechanism of the roadway plastic zone was analysed. We found that the shape and spatial position of the roadway plastic zone are jointly determined by in-situ stress deflection angle \(\alpha\), mining-induced stress concentration coefficient K, and equivalent lateral pressure coefficient \(\eta^{\prime}\) when the mechanical parameters (rock cohesion c; internal friction angle \(\varphi\)) were fixed. Specifically, the plastic zone experiences the cyclic evolution phenomenon, where the plastic zone shape varies from petal–ellipse–circle–ellipse–petal shapes in morphology. In this study, we expound the general evolution law of roadway plastic zone under different geological, working conditions and mechanical parameters. The main controlling factors and mechanism of the shape and spatial position evolution of the plastic zone are revealed. A numerical model was established to study the evolution law of plastic zone during the change of corresponding parameters. The results show that the traditional method of predicting the shape of plastic zone by lateral pressure coefficient is inaccurate. The plastic zone distribution calculated using this method was compared with the roadway deformation measured in 1305 bottom drainage roadway of Hudi mine, and the comparison results were in good accordance. The results of this study have certain universality, and enrich the understanding of the roadway plastic zone. It can provide theoretical reference for roadway excavation and support design under different geological and in-situ stress conditions.
Highlights
-
The non-orthogonal failure behavior of the roadway with the change of complicated stress state is revealed.
-
Plastic zone experiences the cyclic evolution phenomenon, where the plastic zone shape varies from petal-ellipse-circle-ellipse-petal shapes in morphology.
-
Main controlling factors and mechanism of the shape and spatial position evolution of the plastic zone are summarized.
-
The unsymmetrical failure mechanism of roadway under non-orthogonal stress state is revealed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Data availability statement
The data used to support the findings of this study are available from the corresponding author upon request.
References
Aydin G (2015) The application of trend analysis for coal demand modeling. Energ Source Part B 10(2):183–191. https://doi.org/10.1080/15567249.2013.813611
Aydin G, Kaya S, Karakurt I (2015) Modeling of coal consumption in Turkey: an application of trend analysis. In: 24th International Mining Congress and Exhibition of Turkey, Antalya, Turkey. 2015:83-87
British Petroleum (2022) BP statistical review of world energy. London
Brown L, Hudyma M (2017) Identifying local stress increase using a relative apparent stress ratio for populations of mining-induced seismic events. Can Geotech J 54(1):128–137. https://doi.org/10.1139/cgj-2016-0050
Brown ET, Bray JW, Ladanyi B et al (1983) Ground response curves for rock tunnels. J Geotech Eng 109(1):15–39. https://doi.org/10.1061/(ASCE)0733-9410(1983)109:1(15)
Caquot A (1940) Le recordement parfait. Revue Genérale des-Chemins de Fer
Fan L, Wang WJ, Yuan C et al (2020) Research on large deformation mechanism of deep roadway with dynamic pressure. Energy Sci Eng 8(9):3348–3364. https://doi.org/10.1002/ese3.672
Feng G, Wang XC, Wang M et al (2020) Experimental investigation of thermal cycling effect on fracture characteristics of granite in a geothermal-energy reservoir. Eng Fract Mech 235:107180. https://doi.org/10.1016/j.engfracmech.2020.107180
Fenner R (1938) Untersuchungenzurerkenntnis des gebirgsdrucks. Glückauf
Fujii Y, Ishijima Y, Ichihara Y et al (2011) Mechanical properties of abandoned and closed roadways in the Kushiro Coal Mine, Japan. Int J Rock Mech Min 48(4):585–596. https://doi.org/10.1016/j.ijrmms.2011.04.012
Guo XF, Zhao ZQ, Gao X et al (2019) Analytical solutions for characteristic radii of circular roadway surrounding rock plastic zone and their application. Int J Min Sci Techno 29(2):263–272. https://doi.org/10.1016/j.ijmst.2018.10.002
Guo XF, Li C, Huo TL (2021) A quantitative evaluation method on the stability of roadway surrounding rock in partial confining stress based on plastic zone shapes. Geomech Eng 25(5):405–415. https://doi.org/10.12989/gae.2021.25.5.405
Herrera C, Cassidy JF, Dosso SE et al (2021) The crustal stress field inferred from focal mechanisms in northern Chile. Geophys Res Lett 48(8):e2021GL092889. https://doi.org/10.1029/2021GL092889
Kang H, Zhang X, Si L et al (2010) In-situ stress measurements and stress distribution characteristics in underground coal mines in China. Eng Geol 116(3–4):333–345. https://doi.org/10.1016/j.enggeo.2010.09.015
Kastner H (1962) Statik des tunnel- und stollenbaues. Springer, Berlin
Kodama J, Miyamoto T, Kawasaki S et al (2013) Estimation of regional stress state and Young’s modulus by back analysis of mining-induced deformation. Int J Rock Mech Min 63:1–11. https://doi.org/10.1016/j.ijrmms.2013.05.007
Jiang LS, Zhang PP, Chen LJ et al (2017) Numerical approach for goaf-side entry layout and yield pillar design in fractured ground conditions. Rock Mech Rock Eng 50(11):3049–3071. https://doi.org/10.1007/s00603-017-1277-0
Li SW, Gao MZ, Yang XJ et al (2018) Numerical simulation of spatial distributions of mining-induced stress and fracture fields for three coal mining layouts. J Rock Mech Geotech 10(5):907–913. https://doi.org/10.1016/j.jrmge.2018.02.008
Li G, Ma FS, Guo J et al (2020) Study on deformation failure mechanism and support technology of deep soft rock roadway. Eng Geol 264:105262. https://doi.org/10.1016/j.enggeo.2019.105262
Lin C, Zou DHS (2021) Formulation and verification of 3D in-situ stress estimation based on differential-direction drilling. Int J Rock Mech Min 145:104833. https://doi.org/10.1016/j.ijrmms.2021.104833
Lucianetti G, Cianfarra P, Mazza R (2017) Lineament domain analysis to infer groundwater flow paths: clues from the Pale di San Martino fractured aquifer, Eastern Italian Alps. Geosphere 13(5):1729–1746. https://doi.org/10.1130/GES01500.1
Mo S, Sheffield P, Corbett P et al (2020) A numerical investigation into floor buckling mechanisms in underground coal mine roadways. Tunn Undergr Sp Tech 103:103497. https://doi.org/10.1016/j.tust.2020.103497
Mousavipour F, Riahi MA, Moghanloo GH (2020) Prediction of in situ stresses, mud window and overpressure zone using well logs in South Pars field. J Pet Explor Prod Te 10(5):1869–1879. https://doi.org/10.1007/s13202-020-00890-9
Papanastasiou P, Durban D (1997) Elastoplastic analysis of cylindrical cavity problems in geomaterials. Int J Numer Anal Met 21(2):133–149. https://doi.org/10.1002/(SICI)1096-9853(199702)21:2%3c133::AID-NAG866%3e3.0.CO;2-A
Paul S, Chatterjee R (2011) Determination of in-situ stress direction from cleat orientation mapping for coal bed methane exploration in south-eastern part of Jharia coalfield, India. Int J Coal Geol 87(2):87–96. https://doi.org/10.1016/j.coal.2011.05.003
Piotr M, Łukasz O, Piotr B (2017) Modelling the small throw fault effect on the stability of a mining roadway and its verification by in situ investigation. Energies 10(12):2082. https://doi.org/10.3390/en10122082
Rajabi M, Sherkati S, Bohloli B et al (2010) Subsurface fracture analysis and determination of in-situ stress direction using FMI logs: an example from the Santonian carbonates (Ilam formation) in the Abadan Plain, Iran. Tectonophysics 492(1–4):192–200. https://doi.org/10.1016/j.tecto.2010.06.014
Rezaei M, Hossaini MF, Majdi A (2015) Determination of longwall mining-induced stress using the strain energy method. Rock Mech Rock Eng 48(6):2421–2433. https://doi.org/10.1007/s00603-014-0704-8
Roussev P (1998) Calculation of the displacements and Pacher’s rock pressure curve by the associative law for the fluidity-plastic flow. Tunn Undergr Sp Tech 13(4):441–451. https://doi.org/10.1016/S0886-7798(98)00087-X
Singh AK, Singh R, Maiti J et al (2011) Assessment of mining induced stress development over coal pillars during depillaring. Int J Rock Mech Min 48(5):805–818. https://doi.org/10.1016/j.ijrmms.2011.04.004
Song HQ, Zuo JP, Liu HY et al (2021) The strength characteristics and progressive failure mechanism of soft rock-coal combination samples with consideration given to interface effects. Int J Rock Mech Min 138:104593. https://doi.org/10.1016/j.ijrmms.2020.104593
Sun YJ, Zuo JP, Karakus M et al (2021) A new theoretical method to predict strata movement and surface subsidence due to inclined coal seam mining. Rock Mech Rock Eng 54(6):2723–2740. https://doi.org/10.1007/s00603-021-02424-z
Talobre J (1960) Rock mechanics. Paris: Dunod
Wang GF, Gong SY, Dou LM et al (2019) Behaviour and bursting failure of roadways based on a pendulum impact test facility. Tunn Undergr Sp Tech 92:103042. https://doi.org/10.1016/j.tust.2019.103042
Xu SQ, Yu MH (2006) The effect of the intermediate principal stress on the ground response of circular openings in rock mass. Rock Mech Rock Eng 39(2):169–181. https://doi.org/10.1007/s00603-005-0064-5
Yamamoto K (2009) A theory of rock core-based methods for in-situ stress measurement. Earth Planets Space 61(10):1143–1161. https://doi.org/10.1186/BF03352966
Yang SQ, Chen M, Jing HW et al (2017) A case study on large deformation failure mechanism of deep soft rock roadway in Xin’An coal mine. China Eng Geol 217:89–101. https://doi.org/10.1016/j.enggeo.2016.12.012
Yu H, Niu ZY, Kong LG et al (2015a) Mechanism and technology study of collaborative support with long and short bolts in large-deformation roadways. Int J Min Sci Techno 25(4):587–593. https://doi.org/10.1016/j.ijmst.2015.05.011
Yu WJ, Wang WJ, Chen XY et al (2015b) Field investigations of high stress soft surrounding rocks and deformation control. J Rock Mech Geotech 7(4):421–433. https://doi.org/10.1016/j.jrmge.2015.03.014
Yu ML, Zuo JP, Sun YJ et al (2022) Investigation on fracture models and ground pressure distribution of thick hard rock strata including weak interlayer. Int J Min Sci Techno 32(1):137–153. https://doi.org/10.1016/j.ijmst.2021.10.009
Zhang AL, Xie HP, Zhang R et al (2023) Mechanical properties and energy characteristics of coal at different depths under cyclic triaxial loading and unloading. Int J Rock Mech Min 161:105271. https://doi.org/10.1016/j.ijrmms.2022.105271
Zhou QL, Cao P, Huang LQ (2020) A 2-D differential-stress-based analysis on the tendency of mining-induced fault reactivation. Environ Earth Sci 79:1–11. https://doi.org/10.1007/s12665-020-09033-z
Zuo JP, Peng SP, Li YJ et al (2009) Investigation of karst collapse based on 3-D seismic technique and DDA method at Xieqiao coal mine, China. Int J Coal Geol 78(4):276–287. https://doi.org/10.1016/j.coal.2009.02.003
Zuo JP, Wen JH, Li YD et al (2019) Investigation on the interaction mechanism and failure behavior between bolt and rock-like mass. Tunn Undergr Sp Tech 93:103070. https://doi.org/10.1016/j.tust.2019.103070
Zuo JP, Liu HY, Liu DJ et al (2021) Study on large deformation mechanism and concrete-filled steel tubular support technology for ventilation shaft roadway. B Eng Geol Environ 80:6245–6262. https://doi.org/10.1007/s10064-021-02331-1
Acknowledgements
This work was financially supported by the projects (Grants No: 52225404) supported by NSFC, Beijing Outstanding Young Scientist Program (BJJWZYJH01201911413037) and the Fundamental Research Fund of the Central Universities of China (2022YJSLJ02).
Funding
NSFC, 52225404, Jianping Zuo; Beijing Outstanding Young Scientist Program, BJJWZYJH01201911413037, Jianping Zuo; Fundamental Research Fund of the Central Universities of China, 2022YJSLJ02, Jianping Zuo.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of Interest
The authors declare that there are no conflicts of interest regarding the publication of this paper.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Ma, Z., Zuo, J., Zhu, F. et al. Non-orthogonal Failure Behavior of Roadway Surrounding Rock Subjected to Deep Complicated Stress. Rock Mech Rock Eng 56, 6261–6283 (2023). https://doi.org/10.1007/s00603-023-03397-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00603-023-03397-x