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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2024-4pp.2254-2268

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Xiu'e Zhang and Yonggang Kang, "Propagation and Attenuation of Elastic Wave in a Fluid-Saturated Triple-Porosity Medium," Mech. Solids. 59 (4), 2254-2268 (2024)
Year 2024 Volume 59 Number 4 Pages 2254-2268
DOI 10.1134/S0025654424604312
Title Propagation and Attenuation of Elastic Wave in a Fluid-Saturated Triple-Porosity Medium
Author(s) Xiu'e Zhang (Institute of Disaster Prevention, Sanhe 065201, Hebei, China, zhangxiue2005@163.com)
Yonggang Kang (Institute of Disaster Prevention, Sanhe 065201, Hebei, China, 81624304@163.com)
Abstract Triple-porosity models provide a possibility to investigate the significant problem in some natural sciences and engineering fields. These media often consist of different scale fractures/cracks with different permeability embedded in a matrix with low-permeability pores. In this paper, the phenomenological equation for the elastic wave propagating in a fluid-saturated triple-porosity medium is developed based on the Lagrangian method. The mass coefficients in kinetic energy and drag coefficients in dissipation energy are obtained by reducing them to single- and double-porosity cases. The plane wave analysis shows that there are four compressional waves and one shear wave, namely, one more compressional wave is generated comparing with the double-porosity model. The dispersion and attenuation of the compressional and shear waves at multiple frequencies are analyzed based on the numerical results. It is observed that the first compressional wave has two attenuation peaks, namely, one more attenuation peak is observed comparing with the double-porosity case.
Keywords triple-porosity model, elastic wave, porous medium, dispersion and attenuation
Received 16 June 2024Revised 29 July 2024Accepted 04 August 2024
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