Literature cited
O. E. Vlasov, Principles of the Theory of Action of an Explosion [in Russian], Izd. VIA, Moscow (1957).
M. A. Lavrent'ev, Variational Methods of Boundary-Value Problems for Systems of Elliptical-Type Equations [in Russian], Izd. Akad. Nauk SSSR, Moscow (1962).
M. A. Lavrent'ev and B. V. Shabat, Problems of Hydrodynamics and Their Mathematical Models [in Russian], Nauka, Moscow (1973).
V. M. Kuznetsov, “The shape of a throwout crater by a surface explosion,” Zh. Prikl. Mekh. Tekh. Fiz., No. 3, 152–156 (1960).
V. M. Kuznetsov and É. B. Polyak, “Pulsed hydrodynamic calculations of a cratering explosion with cord charges,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 4, 32–39 (1973).
G. I. Pokrovskii, I. S. Fedorov, and M. M. Dokuchaev, Application of a Directional Explosion in Hydro-technical Construction [in Russian], Gosstroiizdat, Moscow (1963).
V. M. Kuznetsov, “Hydrodynamic calculation of a cratering explosion with extended explosive charges,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 3, 44–47 (1974).
S. A. Roza, “Settling of hydrotechnical structures on clays with low moisture content,” Gidrotekh. Stroitel'; No. 9, 25–30 (1950).
V. A. Florin, “Consolidation of the ground medium and filtration with variable porosity, taking account of the effect of cohesive water,” Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, No. 11, 1625–1649 (1951).
N. B. Il'inskii and E. G. Sheshukov, “Boundary-value problems of the nonlinear theory of filtration,” in: Computational and Applied Mathematics [in Russian], No. 19, Izd. Kievsk. Univ., Kiev (1973), pp. 22–31.
M. G. Bernadiner and V. M. Entov, Hydrodynamic Theory of the Filtration of Anomalous Liquids [in Russian], Nauka, Moscow (1975).
M. G. Alishaev, “Steady-state filtration with an initial gradient,” in: Theory and Practice of Petroleum Extraction [in Russian], Nedra, Moscow (1968).
Kh. S. Reshotka, K. N. Tkachuk, and M. A. Bondarenko, “Application of the method of conformal mappings to the solution of problems of explosive fracturing of rocks,” in: Investigations on TFCV and Its Applications [in Russian], Izd. Inst. Mat. Akad. Nauk UkrSSR, Kiev (1972).
Kh. S. Reshotka and K. N. Tkachuk, “Investigation of the distribution of the explosion energy of borehole charges by the ÉGDA method,” in: Mathematical Simulation by ÉGDA-9/60 Integrators [in Russian], Izd. Inst. Mat. Akad. Nauk UkrSSR, Kiev (1968).
S. A. Khristianovich, “Motion of groundwaters, not following Darcy's law,” Zh. Prikl. Mat. Mekh.,4, No. 1, 33–52 (1940).
N. B. Il'inskii, V. M. Fomin, and E. G. Sheshukov, “The solution of one inverse boundary-value problem of of the nonlinear theory of filtration,” in: Proceedings of a Seminar on Boundary Problems [in Russian], No. 8, Izd. Kazansk. Univ., Kazan' (1971), pp. 86–98.
T. V. Borisova, P. G. Danilaev, N. B. Il'inskii, and E. G. Sheshukov, “One numerical method of solving problems of nonlinear filtration,” in: Proceedings of a Seminar on Boundary Problems [in Russian], No. 11, Izd. Kazansk. Univ., Kazan' (1974), pp. 25–31.
E. G. Sheshukov, “Behavior of the solutions of problems of nonlinear filtration in the vicinity of the line of degeneration of the region of the velocity hodograph,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 4, 114–119 (1974).
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 2, pp. 115–120, March–April, 1977.
The author expresses thanks to T. V. Borisov for carrying out the numerical calculations.
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Il'inskii, N.B. One pulsed hydrodynamic model of a cratering explosion. J Appl Mech Tech Phys 18, 236–241 (1977). https://doi.org/10.1007/BF00859813
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DOI: https://doi.org/10.1007/BF00859813