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Study of the energetic properties of P1 wave reflected on the free boundary of unsaturated soil
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Feng-xi ZHOU1, 2, Tao-qi YAO1, Hong-bo LIU3
Journal of Vibration Engineering | 2024, 37(12) : 2066 - 2077
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Journal of Vibration Engineering | 2024, 37(12): 2066-2077
Study of the energetic properties of P1 wave reflected on the free boundary of unsaturated soil
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Feng-xi ZHOU1, 2, Tao-qi YAO1, Hong-bo LIU3
Affiliations
  • 1School of Civil Engineering,Lanzhou University of Technology,Lanzhou 730050,China
  • 2Engineering Research Center of Disaster Mitigation in Civil Engineering of Ministry of Education,Lanzhou University of Technology,Lanzhou 730050,China
  • 3School of Civil Engineering,Southeast University,Nanjing 211189,China
Published: 2024-12-28 doi: 10.16385/j.cnki.issn.1004-4523.2024.12.008
Outline
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Based on the porous medium theory and the continuum medium fluctuation theory,this paper studies the amplitude reflection and energy reflection properties of the plane P1 wave reflection on the unsaturated semi-space free boundary. Using Helmholtz decomposition theorem and specific free boundary conditions,the analytical expressions of the amplitude reflection coefficient and energy reflection coefficient of four types of reflected waves (reflection P1 wave,reflection P2 wave,reflection P3 wave,and reflection S wave) generated by the plane P1 wave are obtained,and the effects of incidence and saturation,frequency and porosity on energetic properties is analyzed. The results show that the amplitude reflection coefficient and energy reflection coefficient not only are affected by the angle of incidence,but also have significantly changed with the change of saturation,and the reflected P1 wave and reflected S wave carry the vast majority of the incident wave energy.

unsaturated soil  /  plane P1-wave  /  wave reflection  /  reflection coefficient  /  energy distribution
Feng-xi ZHOU, Tao-qi YAO, Hong-bo LIU. Study of the energetic properties of P1 wave reflected on the free boundary of unsaturated soil[J]. Journal of Vibration Engineering, 2024 , 37 (12) : 2066 -2077 . DOI: 10.16385/j.cnki.issn.1004-4523.2024.12.008
Year 2024 volume 37 Issue 12
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Article Info
doi: 10.16385/j.cnki.issn.1004-4523.2024.12.008
  • Receive Date:2022-11-01
  • Online Date:2026-02-12
  • Published:2024-12-28
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History
  • Received:2022-11-01
  • Revised:2023-02-11
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Affiliations
    1School of Civil Engineering,Lanzhou University of Technology,Lanzhou 730050,China
    2Engineering Research Center of Disaster Mitigation in Civil Engineering of Ministry of Education,Lanzhou University of Technology,Lanzhou 730050,China
    3School of Civil Engineering,Southeast University,Nanjing 211189,China
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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