Geophysical modelling of pulse impacts
News of the Kabardin-Balkar scientific center of RAS, no. 2 (2020), pp. 3-13.

Voir la notice de l'article provenant de la source Math-Net.Ru

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, dis-plays, pressure head function, function of current.
Mots-clés : conformal
@article{IZKAB_2020_2_a0,
     author = {K. N. Anakhaev},
     title = {Geophysical modelling of pulse impacts},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {3--13},
     publisher = {mathdoc},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2020_2_a0/}
}
TY  - JOUR
AU  - K. N. Anakhaev
TI  - Geophysical modelling of pulse impacts
JO  - News of the Kabardin-Balkar scientific center of RAS
PY  - 2020
SP  - 3
EP  - 13
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IZKAB_2020_2_a0/
LA  - ru
ID  - IZKAB_2020_2_a0
ER  - 
%0 Journal Article
%A K. N. Anakhaev
%T Geophysical modelling of pulse impacts
%J News of the Kabardin-Balkar scientific center of RAS
%D 2020
%P 3-13
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IZKAB_2020_2_a0/
%G ru
%F IZKAB_2020_2_a0
K. N. Anakhaev. Geophysical modelling of pulse impacts. News of the Kabardin-Balkar scientific center of RAS, no. 2 (2020), pp. 3-13. http://geodesic.mathdoc.fr/item/IZKAB_2020_2_a0/

[1] V. M. Kuznetsov, “On the shape of the ejection funnel during an explosion on the soil surface”, Applied Mechanics and Technical Physics, 1960, no. 3, 152–156

[2] V. M. Kuznetsov, M. A. Lavrentiev, E. N. Sher, “On directional soil throwing with explosives”, Applied Mechanics and Technical Physics, 1960, no. 4, 49–50

[3] M. A. Lavrentiev, B. V. Shabat, Problems of hydrodynamics and their mathematical models, Science., M., 1977, 407 pp. | MR

[4] K. N. Anahaev, “Development of pits (channels) by the influence of pulsed power load”, Vestnik MGSU, 12 (2017), 924–931, Moscow State Building University Herald | MR

[5] K. N. Anakhaev, P. M. Ivanov, H. M. Temukuev, M. M. Chechenov, “The hydromechanical problem of pulse piercing a plate”, Reports of the Academy of Sciences, 481:1 (2018), 33–36

[6] K. N. Anahaev, “Hydromechanical solution of the filtering problem through a jumper with reservoir drainage”, Hydroconstructions, 2011, no. 1, 27–30

[7] K. N. Anahaev, “Hydromechanical calculation of the potential flow upon plate impact on water”, Reports of the Academy of Sciences, 445:4 (2012), 407–411 | MR

[8] N. N. Pavlovsky, Groundwater movement, Collected works, v. 2, Publishing house of the Academy of Sciences of the USSR, M.; L., 1956, 771 pp.

[9] K. N. Anahaev, “On the calculation of potential flows”, Reports of the Academy of Sciences, 401:3 (2005), 337–341

[10] K. N. Anahaev, “On the filtration calculation of the bridge”, Mathematical modeling, 23:2 (2011), 148–158 | Zbl