"INVESTIGATION OF THE STRESS STATE OF MINE WORKINGS USING METHODS OF DEFORMABLE SOLID MECHANICS "
DOI:
https://doi.org/10.31489/2022No4/68-72Keywords:
massif, stresses, model, coal seam, integration nodes, method of boundary integral equations, pressureAbstract
The assessment of the reliability of a mining and technological scheme, taking into account the stress state of mine workings, depends on a combination of mining and geological, technical and technological factors. The article demonstrates the creation of a model of a rock mass and a scheme for calculating the stress state based on modern methods of mechanics of a deformable solid body.The object of study is a single mine working of great length, passed through the rock parallel to the strike of the coal seam (field drift) and located in the zone of influence of the support pressure. Due to the fact that the field drift is laid in the soil of the formation, which is a layered stratum in the zone of influence of clearing operations, the predominant load is the bearing pressure on the formation. The areas of application of the methods of complex potentials of integral equations and their combinations in solving applied problems are determined. The data of mine (field) measurements and observations, laboratory experiments and their generalizations are taken into account both when setting tasks and assigning boundary conditions, and when checking the results obtained. The mixed problem of the theory of elasticity about the contact stress on half-strips with varying along the longitudinal axis was solved; moving away from the ends, deformative properties, when these half-strips are clamped with friction between the layered half-planes.
References
"1 Aitaliev Sh.M., Kayupov M.A. The method of boundary elements in plane problems of the concentration of elastic stresses in an anisotropic body. In mechanics of tectonic processes, 1983, p. 133-143. [in Russian]
Aitaliev Sh.M., Adilbekov N.A., Kayupov M.A. The investigation by the GIU method of the stressed state of a field drift during an underwork. Izv. KazSSR, a series of physical. Math., 1983, No. 5, p. 78. [in Russian]
Aitaliev Sh.M., Adilbekov N.A. The solution of the elastic problem for a doubly connected anisotropic plane by the GNU method and calculation of the influence of the mine working on the field drift. Differential equation and their applications, 1994, pp. 96 – 105. [in Russian]
Adilbekov N.A., Shaikhova G.S., Zhurov V.V., Shegebayeva G.E. The numerical solution of one system of Fredgolm integral equations of the third kind in the problem of support pressure near the mine. Science News of Kazakhstan, 2019, No. 3, pp. 98 – 105.
Issagulov А.Z , Belomestny D., Shaiкhova G.S., et al. Functions of atoms radial distribution and pair potential of some semiconductors melts. The Bulletin of the National Academy of Sciences of the Republic of Kazakhstan, 2019, Vol. 4, No.380, pp.6-14. doi:10.32014/2019.2518-1467.86
Kavlakan M.V., Mikhailov A. M. On the distribution of pressure on the formation when the horizontal development. Physical and technical problems of mineral development, Kazakhstan, 1977, No. 5, pp. 48-53.
Kavlakan M.V. About one method of solving spatial problems about the reference pressure. Physical and technical problems of mining, 1981, No. 6, p. 17-27.
Shaikhova G.S. Explanation of the Cluster Structures Melting Mechanism And their influence on the molten state’s physical and chemical nature. Complex Use of Mineral Resources, 2021, No.1(313), pp. 62 – 68. doi:10.31643/2021/6445.08
Suleimenov N.V, Shapalov Sh.K, Khodzhaev R.R, Shaikhova G.S. Computerized Analytical System for Assessing Fire and Environmental Safety of Mines in the Karaganda Coal Basin. Intern. Journal of Engineering Research and Technology, 2020, Vol.13, No. 6, pp. 1133-1136.
Akhmetov K.M., Shaikhova G.S, Zhurov V.V., et al Mathematical model of coal self-heating in a stack. Complex Use of Mineral Resources, 2021, No.3 (313), pp. 90 - 96. https://doi.org/10.31643 /2021/6445.32
Kazhikenova S.Sh., Shaltakov S.N., Belomestny D., Shaikhova G.S. Finite difference method implementation for Numerical integration hydrodynamic equations melts. Eurasian Physical Technical Journal, 2020, Vol. 17, No.1(33), pp. 50 – 56. doi: 10.31489/2020No1/145-150
Bayer C., Belomestny D., Redmann M., Riedel S., Schoenmakers J. Solving linear parabolic rough partial differential equations. Journal of Mathematical Analysis and Applications, 2020, No. 490(1), pp. 124236. doi:10.48550/arXiv.1803.09488
Belomestny D., Schoenmakers J. Multilevel Methods. Palgrave Macmillan, London, 2018, Vol. 19, No.1(31), pp. 55-75.
"
