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Title: Solution for inverse boundary value problems on the power of a concentrated charge in a mathematical model of subsidence soils compaction
Authors: Tarasenko, E. O.
Тарасенко, Е. О.
Gladkov, A. V.
Гладков, А. В.
Gladkova, N. A.
Гладкова, Н. А.
Keywords: Boundary value problems with initial and boundary conditions;Loess;Mathematical modeling;Subsidence soils compaction
Issue Date: 2022
Publisher: Springer Science and Business Media Deutschland GmbH
Citation: Tarasenko, E. O., 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 // Lecture Notes in Networks and Systems. - 2022. - Том 424. - Стр.: 537 - 545. - DOI10.1007/978-3-030-97020-8_49
Series/Report no.: Lecture Notes in Networks and Systems
Abstract: The soils of the North Caucasus contain a large share of subsidence loess, which accounts for about 80% of the entire area. Compaction of subsidence soils through deep explosions appears a relevant issue when designing and constructing buildings and other structures. The analysis of the experimental data obtained through explosions shows that it can be a reasonable idea to employ methods of differential calculus to carry out mathematical modeling of this process. Diffusion equations featuring a high degree of reliability can describe a mathematical model of subsidence loess compaction by deep explosions. While describing changes in the compacted soil density, in the case involving a concentrated explosive charge, a function was used, which is a Gaussian function of the compacted soil density distribution. This article offers a look at the equations presented by the boundary value problem with a system of initial and boundary conditions, aiming to solve the inverse applied problem of restoring the power of a concentrated explosive charge. There have been analytical and numerical solutions of the problem obtained. A computational experiment has been held to calculate the power of a concentrated charge relying on a developed program. An analysis of the literature focusing on this issue reveals lack of elaboration of the issue as well as lack of a mathematical description for loess soil compaction problems.
Appears in Collections:Статьи, проиндексированные в SCOPUS, WOS

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