Numerical modeling of the task of support tension near cleaning
DOI:
https://doi.org/10.31643/2023/6445.11Keywords:
massif, drift, reference array, complex potential, slaughter, model, coal seam, integration nodes, half- plane, Simpson's formula.Abstract
The problem of stresses and displacements of an oblique-layered massif near a mine working, which is located entirely in one of the rock layers, is considered when the mine is tested by the effects of cleaning works in a coal seam. This effect is taken into account by specifying a system of normal and shear forces at the boundary of the lower layered half-plane with a hole. The problem is solved by imposing the complex Kolosov – Muehehelishvili potentials and Fourier integral transforms. Based on the method of Fourier integral transforms in the theory of elasticity, a system of integral with respect to normal and tangential contact forces is obtained for the case of two different layered half-surfaces. In this work, systems of integral equations are obtained in solving the problem of the reference pressure on an obliquely buried coal seam near the mine working. In this paper, the method of integral Fourier transforms in the theory of elasticity, obtained a system of integral with respect to normal and tangential contact forces for the case of two different layered half-surfaces.
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References
Petukhov IM, Linkov AM, and others. Protective layers. M: Nedra, 1972;422 (in Russ.).
Borisov A.A. Mechanics of rocks and massifs. M: Nedra.1980;360 (in Russ.).
Aitaliev Sh.M., Tuebaev M.K., Adilbekov N.A. Ob odnom metode rascheta napryazhenno-deformirovannogo sostoyaniya shtreka plasta v zone vliyaniya ochistnykh rabot [About one method for calculating the stress -strain state of a formation drift in the zone ofinfluence of treatment works]. Ed. ANKazSSR, a series of physical.-mat. 1980;1(3431-79):52-58 (in Russ.).
Shaikhova GS, Shaikhovа GN. Traveling wave solutions for the two-dimensional. Zakharov-Kuznetsov-Burgers equationIn. Math series. Bulletin of the Karaganda University. 2018;4(92):94-98
Bachtiyarkyzy Zh, Shaikhova GS, Shaikhova GN.Exact solutions of the nonlocal complex modified Korteweg-de Vries system of equtions.Bulletin of LNGumilyov EurasianNational University. 2018;4(125):34-39
Ozat N, Shaikhova GN, Shaikhova GS. Conservation Laws for the (2+1)-dimensional inhomogeneous complex modified Korteweg de-Vries and Maxwell Bloch equations.Bulletin of L.N. Gumilyov Eurasian National University. 2017;2(117):297-299
Aitaliev sh. M., Adilbekov N. A. Resheniye uprugoy zadachi dlya dvukhsvyaznoy anizotropnoy ploskosti metodom GNU i raschet vliyaniya lechebnoy raboty na dreyf polya [Solution of the elastic problem for a two-connected anisotropic plane by the GNU method and calculation of the effect of treatment work on the field drift].In the book.: Differential equations and their applications. Almaty: Ed. KazPI.1994;96-105 (in Russ.).
Adilbekov NA. Napryazhenno-deformirovannoye sostoyaniye shtreka, ulozhennogo v krupnosloistom gornom massive [Stress-strain state ofa drift laid in a large-layered mountain massif].In the book.: mechanics. Abstracts of the seventh Kazakhstan interuniversity scientific conference on mathematics and mechanics. Karaganda, Ed. KSU, 1981, 44 (in Russ.).
Shaikhova GS. Explanation Of The Cluster Structures Melting Mechanism And Their Influence On The Molten State’s Physical And Chemical Nature.Kompleksnoe Ispolzovanie Mineralnogo Syra= Complex Use of Mineral Resources. 2021;316(1):62-68, https://doi.org/10.31643/2021/6445.08
Suleimenov NV, Shapalov ShK, Khodzhaev RR, Shaikhova GS.Computerized Analytical Systemfor Assessing Fireand EnvironmentalSafety of Mines in the Karaganla Coal Basin.International Jornal of Engineering Researchand Technology.2020;13(6):1133-1136. https://up.ksu.kz/phtj/2020_17_1_33/22.pdf
Akhmetov К, Shaikhova G, Zhurov V, Khmyrova E, & Yarullina A. Mathematical model of coal self-heating in a stack.Kompleksnoe Ispolzovanie Mineralnogo Syra= Complex Use of Mineral Resources.2021;318(3):90-96. https://doi.org/10.31643/2021/6445.32
Kazhikenova SSh, Shaltakov SN, Belomestny D, Shaikhova GS. Finite difference method implementation for Numerical integration hydrodynamic equations melts .Eurasian Physical Technical Journal. 2020;17-1(33):50-56.
BayerC,BelomestnyD,RedmannM,RiedelS,Schoenmakers.Solving linear parabolic rough partial differential equations. Journal of Mathematical Analysis and Applications. 2020;490(1):124236
BelomestnyD.Multilevel Methods, John SchoenmakersPalgrave Macmillan, London.2018;55-75.
Evert Hoek. Practical rock Ingineering.University of Toronto. Canada. 2006;342.
John Read, Peter Stacey, Guldelines for Open pit slope design, Csiro publishing, Published exccluslvely in Australia, New Zealand and SouthAfrica by 150 Oxford Street (PO Box 1139), Collingwood VIC 3066, Australea. 2010;511.
N. M. D'Souza & A. J. Mawson. Membrane Cleaning in the Dairy Industry: A Review, Critical Rev. in F. Sc. and Nut.,2002;45(2):125-134, https://doi.org/10.1080/10408690490911783
Diomin VF, KhalikovaER, Diomina TV, Zhurov VV. Studying coal seam bedding tectonic breach impact on supporting parameters of mine workings with roof bolting. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu 2019;5:16-21. https://doi.org/10.29202/nvngu/2019-5/5
YeQQ, WangW, jun , WangG, and JiaZzhen.“Numerical simulation on tendency mining fracture evolution characteristics of overlying strata and coal seams above working face with large inclination angle and mining depth,”Arabian Journal of Geosciences. 2017;10(4). https://doi.org/10.1007/s12517-017-2856-9
M. Bartlett M.R. Bird J.A. Howell An experimental study for the development of a qualitative membrane cleaning model. Journal of Mem. Sc. 1995;105(1–2):147-157. https://doi.org/10.1016/0376-7388(95)00052-E
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