Experimental Investigation into the One-Dimensional Calculated Model of Wave Propagation in Block Medium

Aleksandrova, N. I.; Черников, А. Г.; Sher, Eran

doi:10.1007/s10913-005-0088-y

Cited by 36 publications

(14 citation statements)

References 2 publications

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“…we rewrite equations (5) (7) and (8) describe the motion of the three-dimensional lattice of masses in Lamb's problem.…”

Section: Derivation Of Equations Of the Motion Of The Three-dimensionmentioning

confidence: 99%

“…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.In [4][5][6][7][8][9], we studied one-dimensional mathematical models of viscoelastic deformation of block media and have shown that the presentation of the blocks as massive rigid bodies allows us to distinguish from a complex dynamic state of the block medium that part of it, which is determined by the deformation of the interlayers between the blocks. The presentation of the blocks as massive rigid bodies made it possible to accurately describe the low-frequency pendulum waves arising under the impact load.…”

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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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“…we rewrite equations (5) (7) and (8) describe the motion of the three-dimensional lattice of masses in Lamb's problem.…”

Section: Derivation Of Equations Of the Motion Of The Three-dimensionmentioning

confidence: 99%

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confidence: 99%

Seismic waves in a three-dimensional block medium

Aleksandrova¹

2016

Proc. R. Soc. A.

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“…A model with partings and parallel arranged elastic and damping elements is proposed in [2] (see Fig. 1).…”

Section: Statement Of the Problem And The Resonance Analysis Of Blockmentioning

confidence: 99%

Steady-State Response of the Block Rock Mass to External Periodic Excitation and Resonance Condition

2014

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The theory of deep rock mass is proposed as the complex hierarchy of block structures on the basis of the discontinuous and self-stressed rock mass structure in depth. We study the block structure of the rock mass steady-state response to the external periodic excitation. We get the resonance equation and the resonance condition for the block rock mass structure under external periodic excitations. The effects of the local mass and stress state between the adjacent rock blocks in block rock mass structure on the steady-state displacement of rock blocks are analyzed.

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“…Currently, elastic wave propagation in a blocky rock mass is theoretically and experimentally analyzed [3][4][5][6][7][8][9]. Impulse excitation of a blocky rock mass generates pendulum waves in it.…”

Section: Introductionmentioning

confidence: 99%

Dynamic microplasticity phenomenon in rocks during P-wave propagation

Машинский

2014

J Min Sci

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The article describes local microplastic inelasticity in loam during propagation of P-wave with a frequency of 240-1000 Hz between two shallow wells, one holding piezoelectric radiator and the other containing piezoelectric receiver. The seismic record displays microplasticity phenomenon as the step-wise changes of the signal amplitude with time and the flat sections in the curve from microsecond to dozens microseconds long. These plateaus create short-terms breaks of the process-the time lags that depend on the signal amplitude. As a result, the first arrival time of the wave is changed, and the wave is transformed. It is presumable that microplasticity is conditioned by stress concentration at different defects. The research findings can be used in solving applied problems in mining engineering and seismology.Keywords: Local inelasticity, dynamic microplasticity, time lag and deformations, inelastic seismic parameters, amplitude dependence of wave velocities and attenuation.

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Experimental Investigation into the One-Dimensional Calculated Model of Wave Propagation in Block Medium

Cited by 36 publications

References 2 publications

Seismic waves in a three-dimensional block medium

Seismic waves in a three-dimensional block medium

Steady-State Response of the Block Rock Mass to External Periodic Excitation and Resonance Condition

Dynamic microplasticity phenomenon in rocks during P-wave propagation

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