Continuum model of wave propagation in fragmented media: linear damping approximation
| Autor: | Elena Pasternak, Maxim Khudyakov, Arcady Dyskin |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Dispersion relationship
Physics Energy loss Continuum (measurement) Scattering Wave propagation Attenuation lcsh:QC801-809 02 engineering and technology Mechanics Dissipation lcsh:QC1-999 020501 mining & metallurgy Wavelength lcsh:Geophysics. Cosmic physics 020303 mechanical engineering & transports 0205 materials engineering 0203 mechanical engineering lcsh:Q lcsh:Science lcsh:Physics |
| Zdroj: | Nonlinear Processes in Geophysics, Vol 24, Pp 461-466 (2017) |
| ISSN: | 1607-7946 1023-5809 |
| Popis: | Energy dissipation during wave propagation in fragmented geomaterials can be caused by independent movement of fragments leading to energy loss on their impact. By considering a pair of impacting fragments at times much greater than the period of their oscillations, we show that at a large timescale, the dynamics of the pair can be described by a linear viscous model with damping coefficients expressed through the restitution coefficient representing energy loss on impact. Wave propagation in fragmented geomaterials is also considered at the large timescale assuming that the wavelengths are much larger than the fragment sizes such that the attenuation associated with wave scattering on the fragment interfaces can be neglected. These assumptions lead to the Kelvin–Voigt model of damping during wave propagation, which allows the determination of a dispersion relationship. As the attenuation and dispersion are not related to the rate dependence of rock deformation, but rather to the interaction of fragments, the increased energy dispersion at low frequencies can be seen as an indication of the fragmented nature of the geomaterial and the capacity of the fragments for independent movement. |
| Databáze: | OpenAIRE |
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