Movement of the ground in Rayleigh waves produced by underground explosions

Симоненко, В. А.; Shishkin, N. I.; Шишкина, Г. А.

doi:10.1007/s10808-006-0078-0

Cited by 3 publications

(4 citation statements)

References 17 publications

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“…As the explosion source depth decreases, the parameter B increases. The estimate of B obtained in [2] for small camouflet depths shows that for strong rock, B ≈ 0.3. Confining ourselves to strong effects of explosions and impact in the Earth's crust or in the crust of a different planet, we assume that the planet's crust is rock close in properties to granite.…”

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confidence: 89%

Seismic efficiency of a contact explosion and a high-velocity impact

Shishkin

2007

J Appl Mech Tech Phys

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UDC 550. 348.425.4 N. I. ShishkinThe seismic energy transferred to an elastic half-space as a result of a contact explosion and a meteorite impact on a planet's surface is estimated. The seismic efficiency of the explosion and impact are evaluated as the ratio of the energy of the generated seismic waves to the energy of explosion or the kinetic energy of the meteorite. In the case of contact explosions, this ratio is in the range of 10 −4 -10 −3 . In the case of wide-scale impact effects, where the crater in the planet's crust is produced in the gravitational regime, a formula is derived that relates the seismic efficiency of an impact to its determining parameters.Introduction. Estimating the seismic energy transferred to the medium as a result of underground explosions and impacts of space bodies on the Earth is important for predictions of the seismic effect on engineering facilities, biota, the Earth's crust, and the planet as a whole.The energy of seismic motion for underground atomic explosions is determined in [1], where it is shown that the seismic efficiency (SE) k s ≡ E s /E 0 (E s is the energy of seismic waves and E 0 is the energy of explosion) has the following values: 0.1% in alluvium, 1.2% in tuff, 4.9% in rock salt, and 3.7% in granite. These data were obtained for fairly great charge depths. As the charge depth decreases, the value k s increases. As shown in [2], a decrease in the charge depth results in an increase in the SE to a value close to 10%.The seismic efficiency of a high-velocity impact was evaluated in [3][4][5][6][7][8]. From the papers cited, it follows that the value of k s was estimated with a large error (k s = E s /E 0 = 10 −6 -10 −2 , where E 0 is the kinetic energy). Its dependence on the parameters determining the seismic effect of impacts is also unclear. The value k s for contact explosions is not known.The object of the present study is to obtain the functional dependence of the seismic efficiency on the determining parameters in the cases of contact explosions and high-velocity impacts.1. Confined Explosion. The seismic effect of a confined underground explosion in rock is described using the Haskell model [1]. The longitudinal P -wave generated by an explosion is characterized by the potential ϕ(t, r) of the displacement field u(t, r) of the form Here t is the time reckoned from the time of explosion, r is the distance from the point of explosion, c P is the propagation velocity of the longitudinal waves, and f (τ ) is a function of the source equivalent in the generated P -wave to the explosion. Relation (1.1) contains three free parameters: t 0 , Φ(∞), and B, which are chosen from experiments. The physical meaning of these parameters is as follows. The parameter t 0 determines the time scale

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Seismic efficiency of a contact explosion and a high-velocity impact

Shishkin

2007

J Appl Mech Tech Phys

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“…In [32], Ogurtsov studied Lamb's problem for both vertical and horizontal impact onto the surface of an elastic half-space. In [33][34][35], the authors studied the propagation of seismic waves in an elastic half-space caused by a transient spherically symmetric source embedded into the half-space. In [33], the emphasis is on the theoretical calculations of the displacements on the surface of the half-space.…”

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“…In [33], the emphasis is on the theoretical calculations of the displacements on the surface of the half-space. In [35], analytical representations are obtained for the displacements and stresses in the Rayleigh wave on the surface of the homogeneous elastic half-space and P-wave inside it. In [36], the influence of inhomogeneity of the elastic half-space was studied.…”

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confidence: 99%

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Seismic waves in a three-dimensional block medium

Aleksandrova¹

2016

Proc. R. Soc. A.

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Abstract. We study numerically the propagation of seismic waves in a three-dimensional block medium. The medium is modeled by a spatial lattice of masses connected by elastic springs and viscous dampers. We study Lamb's problem under a surface point vertical load. The cases of both step and pulse load are considered. The displacements and velocities are calculated for surface masses. The influence of the viscosity of the dampers on the attenuation of perturbations is studied. We compare our numerical results for the block medium with known analytical solutions for the elastic medium.

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Analysis on propagation law of shallow underground chemical explosion seismic waves

Wang,

Kong

2023

Front. Phys.

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Introduction: Seismic waves generated by shallow underground explosions propagate differently from those generated by surface explosions. Thus, an accurate understanding of the propagation laws of seismic waves generated by explosions at various burial depths and TNT equivalent amounts is significant in assessing the destructive power of munitions and establishing guidelines for their application.Methods: In this study, we conducted several ground vibration velocity tests of shallow underground chemical explosion seismic waves for various TNT equivalent amounts and burial depths in a shooting range and analyzed the propagation of the seismic waves. Using the explosion similarity theory and dimensional analysis, we derived an equation for the estimation of the particle vibration velocity of shallow underground chemical explosion seismic waves. This equation calculation results have a very high degree of agreement with the measured data, measured data verify that the accuracy of the calculation model is better than 90.2%.Results and discussion: This equation calculation results have a very high degree of agreement with the measured data, measured data verify that the accuracy of the calculation model is better than 90.2%, which greatly improves the calculation accuracy of the shallow underground chemical explosion seismic wave particle vibration velocity, and thus provide effective theoretical support for analyzing explosion seismic waves in engineering tests.

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Movement of the ground in Rayleigh waves produced by underground explosions

Cited by 3 publications

References 17 publications

Seismic efficiency of a contact explosion and a high-velocity impact

Seismic efficiency of a contact explosion and a high-velocity impact

Seismic waves in a three-dimensional block medium

Analysis on propagation law of shallow underground chemical explosion seismic waves

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