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PHYSICAL-MATHEMATICAL SCIENCES
Geophysical modelling of pulse impacts
on the surface of soil
K. N. Anakhaev Institute of Applied Mathematics and Automation –
branch of the FSBSE "Federal Scientific Center
"Kabardin-Balkar Scientific Center of the Russian Academy of Sciences", 360000, KBR, Nalchik, Shortanov street, 89 A
Abstract:
The expanded results of geophysical modeling of a flat problem of pulse impact on the surface of soil received by method of consecutive conformal displays of physical area of a current in the form of area of a complex of Kirchhoff on area of complex potential - a rectangle are presented in this work. At the same time assumption of the academician Lavrentyev M.A. about giving to the soil massif of properties of ideal incompressible liquid in the conditions of pulse (explosive) influence was accepted. The received analytical dependences allow to define both a soil emission funnel outline, and all necessary hydromechanical characteristics of a potential stream (pressure head function, function of current, current speed, etc.). The example of calculation of a test task in which, in particular, the received soil emission funnel outline completely coincides with results of the known strict decision of Lavrentyev-Kuznetsova is presented.
Keywords:
pulse influence, emission funnel, Kirchhoff's complex, complex potential, conformal, dis-plays, pressure head function, function of current.
Received: 03.04.2020
Citation:
K. N. Anakhaev, “Geophysical modelling of pulse impacts
on the surface of soil”, News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences, 2020, no. 2, 3–13
Linking options:
https://www.mathnet.ru/eng/izkab122 https://www.mathnet.ru/eng/izkab/y2020/i2/p3
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Abstract page: | 56 | Full-text PDF : | 27 | References: | 11 |
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