NUMERICAL SIMULATION OF GAS ATOM COORDINATE DISPERSION IN A MATHEMATICAL MODEL OF DEEP BLAST COMPACTION FOR SUBSIDENCE SOILS
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Abstract
Within the framework of mathematical modeling of geological systems, applied inverse problems arise that require solutions. This paper presents approaches to constructing solutions (approximate and explicitly analytical) of boundary value problems describing the compaction of subsidence soils by the method of deep explosions. Numerical simulation of the dispersion of the coordinates of the gas atoms formed in the subsidence soil as a result of a deep explosion of a concentrated charge is carried out. Approximate solutions of the problem are constructed for soils with characteristic properties of isotropy and anisotropy for cases of complete absorption of gas atoms by the surrounding soil and complete reflection from it
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References
Loess rocks of the USSR. V. 1. Engineering-geological features and problems of rational use / Ed. Sergeeva E.M., Larionova A.K., Komissarova N.N. Moscow. Nauka, 1986. 273 p.
Loess rocks of the USSR. T. 2. Regional features / Ed. Sergeeva E.M., Bykova V.S., Komissarova N.N. Moscow. Nauka, 1986. 276 p.
Pantyushina E. V. Loess soils and engineering methods for eliminating their subsidence properties // Polzunovsky vestnik. 2011. № 1. P. 127-130.
Galay B. F. Manual on compaction of subsident loess soils by deep explosions in the conditions of the North Caucasus (research, design, production of works) / B. F. Galay. Ed. 3rd, add. Stavropol, Serviceshkola, NCFU. 2016. 142 p.
Tarasenko E. O., Tarasenko V. S., Gladkov A.V. Mathematical modeling of compaction of subsident loess soils of the North Caucasus by deep explosions // Bulletin of the Tomsk Polytechnic University. Geo Аssets Engineering. 2019. vol. 330, №. 11, P. 94-101. DOI: 10.18799/24131830/2019/11/2352. DOI: https://doi.org/10.18799/24131830/2019/11/2352
Tarasenko E.O., Gladkov A.V. Numerical solution of inverse problems in mathematical modeling of geological systems // Bulletin of the Tomsk Polytechnic University. Engineering of georesources. 2022. V. 333. №. 1. P. 105-112. DOI: 10.18799/24131830/2022/1/3208 DOI: https://doi.org/10.18799/24131830/2022/1/3208
Tarasenko Е.О., Gladkov A.V., Gladkova N.A. Solution for Inverse Boundary Value Problems on the Power of a Concentrated Charge in a Mathematical Model of Subsidence Soils Compaction // Mathematics and its Applications in New Computer Systems. MANCS 2021. Lecture Notes in Networks and Systems, Springer. 2022. Vol 424. P. 537–545. DOI: 10.1007/978-3-030-97020-8_49 DOI: https://doi.org/10.1007/978-3-030-97020-8_49
Semenchin E.A. Analytical solutions of boundary value problems in the mathematical model of atmospheric diffusion / E.A. Semenchin. Stavropol. Publishing house SKIUU. 1993. 141 p. ISBN 5-900429-45-8
Bakhvalov N.S. Numerical methods / N.S. Bakhvalov. Moscow. Nauka. 1973. 614 p.
Verzhbitsky V. M. Numerical methods: (mathematical analysis and ordinary differential equations) / V.M. Verzhbitsky. Moscow. Direct-Media. 2013. 400 p. ISBN 978-5-4458-3876-0.