Abstract
Nonuniformity of a medium shows itself in many characteristics, including Young’s modulus, Poisson’s ratio, shear modulus, as well as limit elasticity and limit plasticity. The article shows that introduction of the nonuniformity of properties allows studying hierarchical block structure of a medium in different geomechanical problems and estimating effect of the blocky structure on the stress state of rock mass.
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Sadovsky, M.AA., Natural Lumpiness of Rocks, Dokl. AN SSSR, 1979, vol. 247, no. 4, pp. 829–831.
Sadovsky, M.A., Denshchikov, V.A., Kondrat’ev, V.N., Romashov, A.N., and Chubarov, V.M., Modeling the Upper Layers of the Earth;s Crust, Fiz. Zemli, 1982, no. 9, pp. 3–9.
Sadovsky, M.A., Size Distribution of Solid Joints, Dokl. AN SSSR, 1983, vol. 269, no. 1, pp. 69–72.
Sadovsky, M.A., Hierarchy from Dust Particle to Planets, Zemlya Vselennayay, 1984, no. 6, pp. 5–9.
Sadovsky, M.A., Kocharyan, G.G., and Rodionov, V.N., Blocky Rock Mass Mechanics, Dokl. AN SSSR, 1988, vol. 302, no. 2, pp. 306–307.
Sadovsky, M.A., Adushkin, V.V., and Spivak, A.A., Sizes of Irreversible Deformation Zones under Explosion in a Blocky Medium, Fiz. Zemli, 1989, no. 9, pp. 9–15.
Sadovsky, M.A., Bolkhovitinov, L.G., and Pisarenko, V.F., Deformirovanie geofizicheskoi sredy i seismicheskii protsess (Deformation of Geophysical Medium and a Seismic Process), Moscow: Nauka, 1987.
Shemyakin, E.I., Fisenko, G.L., Kurlenya, M.V., Oparin, V.N., Reva, V.N., Glushikhin, F.P., Rozenbaum, M.A., and Trop, E.A., Phenomenon of Zonal Disintegration in Rock Mass Surrounding an Underground Opening, Dokl. AN SSSR, 1986, vol. 289, no. 5, pp. 41–53.
Kocharyan, G.G. and Spivak, A.A., Hierarchy of Structural and Geodynamic Characteristics of the Earth’s Crust, Geolog., Inzh. Geolog., Gidrogeolog., Geokriolog., 2002, no. 6, pp. 537–550.
Oparin, V.N., Scale Factor of the Phenomenon of Zonal Disintegration of Rocks and Stratification of the Lunar Interior from Seismic Data, J. Min. Sci., 1997, vol. 33, no. 6, pp. 497–507.
Kurlenya, M.V. and Oparin, V.N., Scale Factor of the Phenomenon of Zonal Disintegration of Rocks, and Canonical Series of Atomic and Ionic Radii, J. Min. Sci., 1996, vol. 32, no. 2, pp. 81–90.
Makarov, P.V., Physical Mesomechanics Approach in Simulation of Deformation and Fracture Processes, Phys. Mesomech., 1998, vol. 1, no. 1, pp. 57–75.
Makarov, P.V., Loaded Material as a Nonlinear Dynamical System. Simulation Problems, Phys. Mesomech., 2006, vol. 9, no. 1-2, pp. 37–52.
Saraikin, V.A., Elastic Properties of Blocks in the Low-Frequency Component of Waves in a 2D Medium, J. Min. Sci., 2009, vol. 45, no. 3, pp. 207–221.
Saraikin, V.A., Chernikov, A.G., and Sher, E.N., Wave Propagation in Two-Dimensional Block Media with Viscoelastic Layers, J. Appl. Mech. Tech. Sci., 2015, vol. 56, no. 4, pp. 688–697.
Krasnovsky, A.A. and Mirenkov, V.E., Deformation of Piecewise-Homogenous Rock Blocks with Fractures under Wedging, GIAB, 2010, no. 8, pp. 286–289.
Mirenkov, V.E., Rock Destruction by Tension, J. Min. Sci., 2013, vol. 49, no. 3, pp. 376–381.
Sher, E.N., Aleksandrova, N.I., Ayzenberg-Stepanenko, M.V., and Chernikov, A.G., Influence of the Block-Hierarchical Structure of Rocks on the Peculiarities of the Seismic Wave Propagation, J. Min. Sci., 2007, vol. 43, no. 6, pp. 585–591.
Aleksandrova, N.I., Lamb’s Problem for 3D Problem of Block Medium, J. Fundament. Appl. Min.Sci., 2015, vol. 2, pp. 194–198.
Zuev, L.B., Danilov, V.I., and Barannikova, S.A., Fizika makrolokalizatsii plasticheskogo techeniya (Plastic Flow Macrolocalization Physics), Novosibirsk: Nauka, 2008.
Zuev, L.B. and Barannikova, S.A., Fizika prochnosti i eksperimental’naya mekhanika (Physics of Strength and Experimental Mechanics), Novosibirsk: Nauka, 2011.
Litvinsky, G.G., Analiticheskaya teoriya prochnosti gornykh porod i massivov (Analytical Theory of Strength of Rocks and Rock Masses), Donetsk: Nord-Press, 2008.
Korn, G.A. and Korn, T.M., Spravochnik po matematike dlya nauchnykh rabotnikov i inzhenerov (Gandbook on Mathematics for Scientists and Engineers), Moscow: Nauka, 1978.
Alimzhanov, A.M., Stress–Strain State and Stability around Undeground Spherical Cavity in Rock Mass with the Technological Radial Inhomogeneities of Rock Mechanical Properties, Oil and Gas Business E-Journal: http://www. /ogbus.com/years/62012/.
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Original Russian Text © A.I. Chanyshev, O.E. Belousova, 2017, published in Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh, 2017, No. 3, pp. 29–36.
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Chanyshev, A.I., Belousova, O.E. A Method to Describe Hierarchical Block Structure of Rock Mass, Considering Nonuniformity of Mechanical Properties. J Min Sci 53, 441–448 (2017). https://doi.org/10.1134/S1062739117032332
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DOI: https://doi.org/10.1134/S1062739117032332