Dynamic Model of the Zonal Disintegration of Rock Surrounding a Deep Spherical Cavity
Publication: International Journal of Geomechanics
Volume 17, Issue 6
Abstract
It is assumed that a deep spherical cavity is subjected to in situ stress at infinity, and the excavation process of the deep spherical cavity is treated like the decrease of pressure applied on its internal boundary. Trigonometric functions and hyperbolic cosine and sine functions are used in the scalar curvature. A non-Euclidean dynamic kinematic equation based on the strain incompatibility condition is derived. Laplace transformation and residue theory are used to deduce the stress fields. The strength criterion of the deep rock masses is applied to determine the number and magnitude of fractured zones and nonfractured zones of the surrounding rock masses around a deep spherical cavity.
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Acknowledgments
The work is supported by the National Natural Science Foundation of China (Grants 51325903 and 51279218), Project 973 (Grant 2014CB046903) the Natural Science Foundation Project of CQ CSTC (Grant CSTC, cstc2013kjrc-ljrccj0001), the Research Fund by the Doctoral Program of Higher Education of China (Grant 20130191110037), and the Chongqing Graduate Student Research Innovation Project (Grant CYB14017).
References
Adms, G. R., and Jager, A. J. (1980). “Petroscopic observations of rock fracturing ahead of stope faces in deep-level gold mine.” J. S. Afr. I. Min. Metall., 80(6), 204–209.
Bi, J., and Zhou, X. P. (2015). “Numerical simulation of zonal disintegration of the surrounding rock masses around a deep circular tunnel under dynamic unloading.” Int. J. Comput. Methods, 12, 1550020.
Cloete, D. R., and Jager, A. J. (1974). “The nature of the fracture zone in gold mines as revealed by diamond core drilling.” Int. J. Rock Mech. Min. Sci. Geomech. Abst. 11(5), 103.
Gu, X. B., Bi, J., and Xu, M. (2015). “Zonal disintegration mechanism of isotropic rock masses around a deep spherical tunnel.” J. Cent. South Univ., 22(10), 4074–4082.
Guzev, M. A. (2011). “Structure of kinematic and force fields in the Riemannian continuum model.” J. Appl. Mech. Tech. Phys., 52(5), 709–716.
Guzev, M. A., and Myasnikov, V. P. (1998). “Thermomechanical model of an elastoplastic material with structural defects.” Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela, 4, 156–172.
Guzev, M. A., and Paroshin, A. A. (2001). “Non-Euclidean model of the zonal disintegration of rocks around an underground working.” J. Appl. Mech. Tech. Phys., 42(1), 131–139.
Kiyoyama, S. (1990). “The present state of underground crude oil storage technology in Japan.” Tunnelling Underground Space Technol., 5(4), 343–349.
Li, S. C. (2008). “In-situ monitoring research on zonal disintegration of surrounding rock mass in deep mine roadways.” Chin. J. Rock. Mech. Eng., 27(8), 1545–1553.
Ning, Y., Yang, Z., Wei, B., and Gu, B. (2016). “Advances in two-dimensional discontinuous deformation analysis for rock-mass dynamics.” Int. J. Geomech., E6016001.
Qian, Q. H., and Zhou, X. P. (2011). “Non-Euclidean continuum model of the zonal disintegration of surrounding rocks around a deep circular tunnel in a non-hydrostatic pressure state.” J. Min. Sci., 47, 37–46.
Reva, V. N., and Tropp, E. A. (1995). “Elastoplastic model of the zonal disintegration of the neighborhood of an underground working.” Physics and mechanics of rock fracture as applied to prediction of dynamic phenomena (collected scientific papers), Mine Surveying Institute, Saint Petersburg, 125–130 (in Russian).
Shemyakin, E. I., et al. (1986a). “Zonal disintegration of rocks around under-ground workings. Part I: Data of in situ observations.” J. Min. Sci., 22(3), 157–168.
Shemyakin, E. I., et al. (1986b). “Zonal disintegration of rocks around underground workings. Part II: Rock fracture simulated in equivalent materials.” J. Min. Sci., 22(4), 223–232.
Shemyakin, E. I., et al. (1987). “Zonal disintegration of rocks around underground workings. Part III: Theoretical concepts.” J. Min. Sci., 23(1), 1–6.
Shemyakin, E. I., et al. (1989). “Zonal disintegration of rocks around underground workings. Part IV. Practical applications.” J. Min. Sci., 25(4), 297–302.
Su, Y. H., and Zheng, X. (2013). “Numerical study on mechanism of zonal disintegration in deep rock mass with joints.” J. Highwway Transp. Res. Dev., 7(4), 57–64 (in Chinese).
Tan, Y. L., Ning, J. G., and Li, H. T. (2012). “In situ explorations on zonal disintegration of roof strata in deep coalmines.” Int. J. Rock. Mech. Min. Sci., 49(1), 113–124.
Tropp, E. A., Rozenbaum, M. A., Reva, V. N., and Glushikhin, F. P. (1985). Disintegration zone of rocks around workings at large depths, Yoffe Physicotechnical Institute of the Academy of Science of the USSR, Leningrad, Russia.
Wu, H., Fang, Q., Zhang, Y. D., and Gong, Z. M. (2009). “Zonal disintegration phenomenon in enclosing rock mass surrounding deep tunnels-elasto-plastic analysis of stress field of enclosing rock mass.” Min. Sci. Technol., 19(1), 84–90.
Yu, H., and Carter, J. (2002). “Rigorous similarity solutions for cavity expansion in cohesive- frictional soils.” Int. J. Geomech., 233–258.
Zhou, X. P., Chen, G., and Qian, Q. H. (2012). “Zonal disintegration mechanism of cross-anisotropic rock masses around a deep circular tunnel.” Theor. Appl. Fract. Mech., 57(1), 49–54.
Zhou, X. P., Hou, Q. H., Qian, Q. H., and Zhang, Y. X. (2013). “The zonal disintegration mechanism of surrounding rock around deep spherical tunnels under hydrostatic pressure condition: A non-Euclidean continuum damage model.” Acta. Mech. Solida. Sin., 26(4), 373–387.
Zhou, X. P., and Qian, Q. H. (2007). “Zonal fracturing mechanism in deep tunnel.” Chin. J. Rock. Mech. Eng., 26(5), 877–885 (in Chinese).
Zhou, X. P., Qian, Q. H., and Yang, H. Q. (2008b). “Strength criterion of deep rock masses.” Chin. J. Rock. Mech. Eng., 27(1), 117–123 (in Chinese).
Zhou, X. P., and Shou, Y. D. (2013). “Excavation-induced zonal disintegration of the surrounding rock around a deep circular tunnel considering unloading effect.” Int. J. Rock. Mech. Min. Sci., 64, 246–257.
Zhou, X. P., Song, H. F., and Qian, Q. H. (2011). “Zonal disintegration of deep crack-weakened rock masses: A non-Euclidean model.” Theor. Appl. Fract. Mech., 55(3), 227–236.
Zhou, X. P., Wang, F. H., Qian, Q. H., and Zhang, B. H. (2008a). “Zonal fracturing mechanism in deep crack-weakened rock masses.” Theor. Appl. Fract. Mech., 50(1), 57–65.
Zuo, Y. J., et al. (2012). “Numerical study of zonal disintegration within a rock mass around a deep excavated tunnel.” Int. J. Geomech., 471–483.
Zuo, Y. J., Xu, T., Zhang, Y. B., Zhang, Y. P., Chen, C. C., and Li, S. C. (2011). “Numerical tests on changing behavior of zonal disintegration configuration within rockmass around deep excavated tunnel.” GeoHunan Int. Conf. 2011, Geotechnical special publication 215, ASCE, Reston, VA, 207–215.
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Published In
International Journal of Geomechanics
Volume 17 • Issue 6 • June 2017
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Nov 19, 2015
Accepted: Sep 6, 2016
Published online: Oct 24, 2016
Discussion open until: Mar 24, 2017
Published in print: Jun 1, 2017
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