A method of solving three-dimensional problems of seam workings and geological faults

Soviet Mining - Tập 33 Số 4 - Trang 295-315 - 1997
A. M. Linkov, В. В. Зубков, M. A. Kheib

Tóm tắt

Từ khóa


Tài liệu tham khảo

S. L. Crouch, “Computer simulation of mining in faulted ground,” J. South African Inst. Mining Metallurgy,79, 159–173 (1979).

S. I. Sherman, S. A. Bornyakov, and V. Yu. Budko, Regions of Dynamic Influence of Fracture [in Russian], Nauka, Novosibirsk (1983).

I. M. Bagugina and I. M. Petukhov, Geodynamic Districting of Deposits for the Design and Operation of Mines [in Russian], Nedra, Moscow (1988).

I. M. Petukhov, A. N. Shabarov, and V. A. Egorov, “Geological indications of fractured faults prone to mine shocks and bursts,” Ugol’, No. 12, 44–46 (1988).

M. V. Kurlenya, V. I. Korotkikh, and A. P. Tansiev, “Stress-strain state of a near-stope mass with a tectonic disturbance,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 2, 3–9 (1991).

A. M. Lin’kov and S. G. Mogilevskaya, “Hypersingular integrals in plane problems of the theory of elasticity,” Prikl. Mat. Mekh.,54, No. 1, 116–122 (1990).

S. K. Kanaun, “Problem of a three-dimensional crack in an anisotropic medium,” Prikl. Mat. Mekh.,45, No. 2, 361–370 (1981).

N. I. Ioakimidis, “Application of finite-part integrals to the singular integral equations of crack problems in plane and three-dimensional elasticity,” Acta Mech.,45, Nos. 1–2, 31–47 (1982).

K. Takakuda, T. Koizumi, and T. Shibuya, “On integral equation methods for crack problems,” Bull. J. Soc. Mech. Eng.,28, (1985).

V. V. Zubkov, I. A. Zubkova, A. M. Lin’kov, and S. G. Mogilevskaya, “Calculation of the stress state of the rock mass around stopes of arbitrary three-dimensional shape,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 3, 24–30 (1986).

A. M. Lin’kov and S. G. Mogilevskaya, “Finite-part integrals in problems of three-dimensional cracks,” Prikl. Mat. Mekh.,50, No. 5, 844–850 (1986).

G. Krishnasamy, L. W. Schmerr, T. J. Rudolphi, and F. J. Rizzo, “Hypersingular boundary integral equations: some applications in acoustic and elastic wave scattering,” J. Appl. Mech. Trans. Am. Soc. Mech. Eng.,57, No. 2, 404–414 (1990).

L. J. Gray, L. F. Martha, and A. R. Ingraffea, “Hypersingular integrals in boundary element fracture analysis,” Int. J. Numerical Meth. Engin.,29, 1135–1158 (1990).

M. Tanaka, V. Sladek, and J. Sladek, “Regularization techniques applied to boundary element method,” Appl. Mech. Reviews,47, No. 10, 457–499 (1994).

M. D. G. Salamon, “Elastic analysis of displacements and stresses induced by mining of seam and reef deposits,” J. South African Inst. Mining Metallurgy, No. 64, 128–149 (1963); No. 64, 197–218, 468–500 (1964); No. 65, 319–338 (1964).

R. P. Plewman, F. H. Deist, and W. D. Ortlepp, “The development and application of a digital computer method for the solution of strata control problems,” J. South African Inst. Mining Metallurgy,70, 33–44 (1969).

K. P. Sinha, “Displacement discontinuity technique for analyzing stresses and displacements due to mining in seam deposits,” Doctoral Thesis, University of Michigan, Ann Arbor, Michigan (1979)

I. M. Petukhov, V. V. Zubkov, A. M. Lin’kov, I. A. Zubkova, and V. S. Sidorov, “Stress state of the rock mass around stopes of arbitrary planform,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 5, 3–8 (1982).

R. P. Plewman, F. H. Deist, and W. D. Ortlepp, “The development and application of a digital computer method for solution of strata control problem,” J. South African Inst. Min. Metallurgy, No. 70, 33–44 (1969).

J. A. L. Napier and S. J. Stephansen, “Analysis of deep-level mine design problems using the MINSIM-D boundary element program.” in: Proceedings of the International Symposium on the Application of Computational Mathematics in Mineral Industries, Institute of Mining and Metallurgy, Johannesburg, South Africa (1988), pp. 3–19.

R. K. Zipf, MULSIM/NL Theoretical and Programmers Manual, United States Department of Interior, Bureau of Mines, Information Circular No. 9321 (1992).

R. K. Zipf, Jr., MULSIM/NL Application and Practitioners Manual, United States Department of Interior, Bureau of Mines, Information Circular No. 9322, (1992).

V. V. Zubkov, “Assessment of the stress state of a rock mass and construction of high-risk zones using the method of displacement discontinuities,” in: Collection of Papers Presented at the International Conference “Effective and Safe Underground Coal Mining on the Basis of Modern Achievements in Geomechanics” [in Russian], Vsesoyuznyi Nauchno-issledovatel’skii Marksheiderskii Institut, Saint Petersburg (1966), pp. 355–362.

S. G. Mogilevskaya, “Problem of the numerical realization of the method of boundary integral equations as applies to the problem of the stress state of a rock mass around stopes,” in: Improvements in the Technology of Mine-Working Construction [in Russian], Kuznetskii Politekhnicheskii Institut, Kemerovo (1984), pp. 112–116.

I. A. Zubkova, “Development of a method of calculating zones of elevated mine pressure on the basis of solution of the three-dimensional problem of the stress distribution around stopes,” Dissertation for Candidate of Technical Sciences, Vsesoyuznyi Nauchno-issledovatel’skii Marksheiderskii Institut, Leningrad (1983).

S. G. Mogilevskaya, “Development of a method for calculating the stress state of a rock mass around stopes in unexposed beds,” Dissertation for Candidate of Technical Sciences, Institut Gornogo Dela imeni A. A. Skochinskogo, Moscow (1987).

G. Beer and B. A. Poulsen, “Efficient numeric modeling of faulted rock using the boundary element method,” Int. J. Rock Mech. Mining Sci. Geomech. Abstracts,31, 485–506 (1994).

S. L. Crouch and A. M. Starfield, Boundary Element Methods in Solid Mechanics, George Allen and Unwin, London (1983); Mir, Moscow (1987).

G. I. Gritsko and B. V. Vlasenko, Experimental-Analytical Method of Determining Stresses in a Rock Mass [in Russian], Nauka, Novosibirsk (1976).

M. V. Kurlenya and V. E. Mirenkov, Computational Methods for Underground Structures [in Russian], Nauka, Novosibirsk (1986).

N. A. Zhdankin and A. A. Zhdankin, Geomechanics of Mine Workings. Mating of Drift Faces [in Russian], Nauka, Novosibirsk (1990).

A. M. Lin’kov, Stability and Stress State of Elastic Blocks, Mine-Shock Control [in Russian], Vsesoyuznyi Nauchnoissledovatel’skii Marksheiderskii Institut, Leningrad (1981), pp. 8–11.

G. N. Pande, G. Beer and J. K. Williams, Numerical Methods in Rock Mechanics, John Wiley and Sons Limited, New York (1990).

G. S. Kit and M. V. Khaki, “Integral equations of three-dimensional thermoelasticity problems for bodies with cracks,” Dokl. Akad. UkrSSR, Ser. A, 1108–1112 (1975).

S. Crouch, A. Lin’kov, S. Mogilevskaya, and Z. Selchak, “Hypersingular equations in problems of the theory of elasticity for bodies with displacement discontinuities,” Vsesoyuznyi Institut Nauchnoi i Tekhnicheskoi Informatsii, deposition manuscript No. 2507-92, 10 August 1992.

R. D. Mindlin, “Force at a point in the interior of a semi-infinite solid,” Phys.,7, 195–202 (1936).

J. T. Frasier and L. Rongved, “Force in the plane of two joined semi-infinite plates,” J. Appl. Mech.,24, 582–584 (1957).

A. M. Linkov, A. A. Linkova, and A. A. Savitski, “An efficient method for multilayered media with cracks and cavities,” Int. J. Damage Mech.,3, 338–356 (1994).

Z. Q. Yue, “On generalized Kelvin solution in a multilayered elastic media,” J. Elast.,40, 1–43 (1995).

A program for calculating the stress state around stopes in a rock mass with geological faults (FAULT3D), Russian Autonomous Production Union, Certificate of official registration for computer programs No. 960511 on 26 November 1996.