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

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...

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Bibliographic Details
Published in:Mechanics of solids 2023-02, Vol.58 (1), p.38-44
Main Authors: Anakhaev, K. N., Belikov, V. V.
Format: Article
Language:English
Subjects:
Classical Mechanics
Complex variables
Conformal mapping
Explosions
Flow characteristics
Flow velocity
Massifs
Physics
Physics and Astronomy
Potential flow
Seismic activity
Volcanic activity
Volcanic eruptions
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Summary: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.
ISSN:0025-6544
1934-7936
DOI:10.3103/S0025654422700030