Abstract
Development of percolating clusters when loading samples of a geomaterial that is hierarchically and stochastically heterogeneous is modeled. The conditions are analyzed for propagation of crack under pressure of methane in the transition phase from a bound state into a free one on the faces of the growing crack in coal.
Similar content being viewed by others
REFERENCES
Yu. N. Malyshev, K. N. Trubetskoi, and A. T. Airuni, Fundamental and Applied Methods to Solve Problems of Methane in Coal Seams [in Russian], Acad. Gorn. Nauk, Moscow (2000).
N. F. Batrakov, Physical Model of Coal—Gas System [in Russian], SKTsNVSh, Rostov-on-Don (1992).
A. V. Astakhov, A. A. Bely, and D. L. Shirochin, “Metamorphic row of carbofossils and fractal parameters of their structure,” Khim. Tv. Topl., No. 4 (2000).
L. S. Lyubchenko and M. L. Lyubchenko, “Physicochemical model and ESR-spectroscopic prediction of outburst-hazardous coals,” Khim. Tv. Topl., No. 4 (1998).
I. N. Moshchenko, N. F. Losev, and Yu. M. Gufan, Theoretical Analysis of Metastable States of Coal—Gas System [in Russian], SKTsNVSh, Rostov-on-Don (1996).
V. V. Kolesnikov, Physical Aspects of Outburst-Hazardous State of Coals [in Russian], SKTsNVSh, Rostov-on-Don (1992).
V. A. Bobin, A. N. Lanyuk, V. N. Trufanov, and M. I. Gamov, “Laboratory study of vibrowavy effect on gas-saturated coals,” Gorn. Inform.-Analit. Byul., No. 8 (2004).
P. M. Goryainov and G. Yu. Ivanyuk, Self-organization of Mineral Systems [in Russian], Geos, Moscow (2001).
M. A. Sadovsky, L. G. Bolkhovitinov, and V. F. Pisarenko, Geophysical Medium Deformation and Seismic Process [in Russian], Nauka, Moscow (1987).
M. V. Kurlenya and V. N. Oparin, “Problems of nonlinear geomechanics. Part I,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 3 (1999).
G. G. Kocharyan and A. A. Spivak, “Hierarchy of structural and geodynamic characteristics of the Earth's crust,” Geoecol., No. 6 (2002).
D. L. Turcotte, “Fractals in geology and geophysics,” Pure and Applied Geophysics (PAGEOPH), 131, Nos.1, 2. (1989).
H. Xie,. Fractals in Rock Mechanics, A. A. Balkema Publishers, Rotterdam (1993).
B. Mandelbrot, “Multifractal measures, especially for the geophysicists,” Pure and Applied Geophysics (PAGEOPH), 131, Nos.1, 2 (1989).
V. V. Silberschmidt and V. G. Silberschmidt, “Multi-scale model of damage evolution in stochastic rocks, ” in: Fractals and Dynamic Systems in Geosciences, J. H. Kruhl (Ed.), Springer-verlag, Berlin-Heilderberg-NY (1994).
V. N. Odintsev and I. Zh. Bunin, “Fractal model of hierarchical rock mass structure,” Nelin. Mir, 2, No.3 (2004).
D. L. Shirochin, “Mathematical modeling of scale-invariant features of carbofossils,” in: Ph.D. Thesis [in Russian], Moscow State Mining University, Moscow (2004).
P. B. Gol'dshtein and A. B. Mosolov, “Multifractal geometry of failure and scale effect,” Dokl. AN SSSR, 329, No.4 (1993).
Yu. Yu. Tarasevich, Percolation: Theory, Application, Algorithms [in Russian] Editorial URSS, Moscow (2002).
P. B. Gol'dshtein and A. B. Mosolov, “Cracks with fractal surface,” Dokl. AN SSSR, 319, No.4 (1991).
F. M. Borodich, “Failure energy of a fractal crack propagating in concrete or rocks,” Dokl. AN SSSR, 325, No.6 (1992).
V. V. Pokropivny and V. V. Skorokhod, “Fractal correction to strength and viscosity of failure of fragile, hard bodies with allowance for atomic roughness of failure surface, Fiz. Tverd. Tela, 37, No.4 (1995).
G. P. Cherepanov, A. S Balankin, and V. S. Ivanova, “Fractal crack mechanics — a review,” Engineering Crack Mechanics, 51, No.6 (1995).
V. N. Odintsov, “Sudden outburst of coal and gas — failure of natural coal as a solution of methane in a solid substance,” Fiz.-Tekh. Probl. Razrab. Polezn. Mop., No. 6 (1997).
F. Mathews and R. Rollings, Composite Materials. Mechanics and Technology [Russian translation], Tekhnosfera, Moscow (2004).
F. H. Urakaev, “Intensity of fractoemission of minerals,” in: Sciences of the Earth. Physics and Mechanics of Geomaterials [in Russian], A. V. Lavrov (Ed.), Vuzovskaya Kniga, Moscow (2002).
Yu. F. Kovalenko, “Elementary action of outburst event. Outburst into a borehole,” Dokl. AN SSSR, Preprint, No. 145, Moscow (1980).
L. V. Nikitin and V. N. Odintsev, “Mechanics of tensile failure of compressed gas-bearing rocks,” Izv. AN SSSR, Mekh. Tverd. Tela, No. 6 (1988).
D. R. Hanson and R. F. Holub, “Methane release from actively yielding coal and its implications for yield zone determination,” Int. J. of Rock Mech. and Min. Sci. & Geomech. Abst., 27, No.3 (1990).
Author information
Authors and Affiliations
Additional information
__________
Translated from Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh, No. 5, pp. 18–27, September–October, 2005.
Rights and permissions
About this article
Cite this article
Odintsev, V.N. Modeling of Methane Release from Intact Coal. J Min Sci 41, 407–415 (2005). https://doi.org/10.1007/s10913-006-0003-1
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10913-006-0003-1