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Hydromechanical Modeling of the Deep Initial Impulsive Action on the Hydrogeophysical Massif

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Abstract

The article considers the potential problem of a deep impulsive impact at the initial moment of time on a hydrogeophysical massif, which can occur during underground (underwater) explosions, volcanic eruptions, seismic events, etc. The impact of the pulse focus was modeled by a rounded source with a unit pressure, and the sink area was modeled by a line of zero potential. A rigorous hydromechanical solution of the problem is obtained with the establishment of an analytical relationship between the physical region of the flow and the complex potential based on the theory of the function of a complex variable, that is, the use of the method of successive conformal mappings with the determination of all necessary flow characteristics. Calculation examples are given for special cases with the construction of curvilinear orthogonal hydrodynamic grids, outlines of families of lines of equal heads and stream lines, profiles of impulse sources, as well as diagrams of velocities, heads and potential flow rates.

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Funding

Part of the work related to the hydrodynamics of water bodies was carried out within the framework of the topic No. FMWZ-2022-0001 of the State Assignment of the IVP RAS.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Automation of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences, 360000, Nalchik, Russia

    K. N. Anakhaev

  2. Water Problems Institute of RAS, 119333, Moscow, Russia

    K. N. Anakhaev & V. V. Belikov

Authors
  1. K. N. Anakhaev
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  2. V. V. Belikov
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Corresponding authors

Correspondence to K. N. Anakhaev or V. V. Belikov.

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Translated by I. K. Katuev

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Anakhaev, K.N., Belikov, V.V. Hydromechanical Modeling of the Deep Initial Impulsive Action on the Hydrogeophysical Massif. Mech. Solids 58, 38–44 (2023). https://doi.org/10.3103/S0025654422700030

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