快压缩P1波在饱和冻土与弹性基岩分界面上的能量传输特性

Abstract
Figure/Table
References (42)
Related Citation (0)

Download: PDF (1761 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract Based on the propagation theory of elastic waves in frozen saturated porous media and single-phase elastic media, the energy transmission problem of the fast compressional P1-wave with the maximum propagation velocity in saturated frozen soil was selected at the interface between saturated frozen soil and elastic bedrock. According to the boundary conditions at the interface, the analytical expressions of transmitted and reflected amplitude ratio and energy ratio of the fast compressional P1-wave from saturated frozen soil to elastic bedrock are derived. The incident energy relationship of fast compressional P1-wave at the interface between saturated frozen soil and elastic bedrock with incident angle, frequency, temperature (ice content), porosity, cementation parameter and contact parameter is studied. The results show that there is only a compression wave when the incident angle is 0, and the transmitted P wave disappears after reaching the critical angle. Various waves have different degrees of pulses when reaching the critical angle, among which the reflected P1 wave is the most significant. As the cementation parameters, porosity and contact parameters increase, the critical angle appears earlier. The incident frequency only greatly influences the energy-reflected ratio of reflected P2, P3 and S2 waves. When the temperature and ice content are low or high, it is not conducive to the energy generation of reflected S2 waves.

Key words： saturated frozen soil elastic bedrock fast compressional P1-wave transmitted and reflected amplitude ratios transmitted and reflected energy ratios

Received: 01 June 2023 Published: 15 April 2024

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	MA Qiang1
	2
	JIANG Huipeng1
	ZHOU Fengxi3
	JIANG Ningshan1
	2

Cite this article:

MA Qiang1,2,JIANG Huipeng1, et al. Energy transfer characteristics of fast compressed P1 waves on interface between saturated frozen soil and elastic bedrock[J]. JOURNAL OF VIBRATION AND SHOCK, 2024, 43(7): 223-238.

URL:

http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2024/V43/I7/223

[1] YANG R，LEMARCHAND E，FENCHONG T，et al. A micromechanics model for partial freezing in porous media [J]. International Journal of Solids and Structures，2015，75：109―121. [2] 李发达，苏雷，万华平，等. 多年冻土场地桩基桥梁地震响应不确定性量化分析[J]. 振动与冲击，2023，42(4)：204-211. LI Fada，SU Lei，WAN Huaping，et al. Uncertainty quantification of seismic response of a pile-supported bridge in the permafrost region [J]. Journal of Vibration and Shock，2023，42(4)：204―211. [3] LI N，CHEN F，SU B，et al. Theoretical frame of the saturated freezing soil [J]. Cold Regions Science and Technology，2002，35(2)：73―80. [4] NEAUPANE K M，YAMABE T. A fully coupled thermo-hydro-mechanical nonlinear model for a frozen medium [J]. Computers and Geotechnics，2001，28(8)：613―637. [5] LU J F，TAN Y P，WANG J H. A phase field model for the freezing saturated porous medium [J]. International Journal of Engineering Science，2011，49(8)：768―780. [6] LECLAIRE P，COHEN-TÉNOUDJI F，AGUIRRE-PUENTE J，et al. Extension of Biot’s theory of wave propagation to frozen porous media [J]. The Journal of the Acoustical Society of America，1994，96(6)：3753―3768. [7] LECLAIRE P，COHEN-TÉNOUDJI F，AGUIRRE-PUENTE J，et al. Observation of two longitudinal and two transverse waves in a frozen porous medium [J]. The Journal of the Acoustical Society of America，1998，97(4)：2052―2055. [8] CARCIONE J M，GUREVICH B，CAVALLINI F. A generalized Biot-Gassmann model for the acoustic properties of shaley sandstones1 [J]. Geophysical Prospecting，2000，48(3)：539―557. [9] CARCIONE J M，SERIANI G. Wave simulation in frozen porous media [J]. Journal of Computational Physics，2001，170(2)：676―695. [10] CARCIONE J M，SANTO J E，RAVAZZOLI C L，et al. Wave simulation in partially frozen porous media with fractal freezing conditions [J]. Journal of Applied Physics，2003，94(12)：7839―7847. [11] 周凤玺，赖远明. 饱和冻土中弹性波的传播特性[J]. 岩土力学，2011，32(9)：2669―2674. ZHOU Fengxi，LAI Yuanming. Propagation characteri-stics of elastic waves in saturated frozen soil [J]. Rock and Soil Mechanics，2011，32(9)：2669―2674. [12] 仇浩淼，夏唐代，郑晴晴，等. 饱和冻土中弹性体波传播特性影响参数研究[J]. 岩土力学，2018，39(11)：4053―4062. QIU Haomiao，XIA Tangdai，ZHENG Qingqing，et al. Parametric studies of body waves propagation in saturated frozen soil [J]. Rock and Soil Mechanics，2018，39(11)：4053―4062. [13] CAO L，ZHOU B，LI Q，et al. Vertically dynamic response of an end-bearing pile embedded in a frozen saturated porous medium under impact loading [J]. Shock and Vibration，2019，1―18. [14] LI Q，SHU W L，CAO L，et al. Vertical vibration of a single pile embedded in a frozen saturated soil layer [J]. Soil Dynamics and Earthquake Engineering，2019，122：185―195. [15] 周斌. 冻土地区地基表面地震动及瑞利波传播特性研究[D]. 舟山：浙江海洋大学，2020. ZHOU Bin. Study on ground motion and Rayleigh wave propagation characteristics in frozen soil area [D]. Zhoushan：Zhejiang Ocean University，2020. [16] KUMARI M，KUMAR M，BARAK M S. Wave propagation characteristics at the welded interface of double-porosity solid and double-porosity dual-permeability materials [J]. Waves in Random and Complex Media，2021，31(6)：1682―1707. [17] 陈炜昀，夏唐代，黄睿，等. P1波在非饱和土地基表面的反射特性[J]. 工程力学，2013，30(09)：56―62. CHEN Weiyun，XIA Tangdai，HUANG Rui，et al. Reflection characteristics of P1 waves at the free boundary of unsaturated soil [J]. Engineering Mechanics，2013，30(9)：56―62. [18] KUMAR M，SINGH A，KUMARI M. Reflection and refraction of elastic waves at the interface of an elastic solid and partially saturated soils [J]. Acta Mechanica，2021，232：33―55. [19] SHEKHAR S. Effect of local fluid flow and loose boundary on wave propagation through interface between double porosity solid and cracked elastic solid [J]. Waves in Random and Complex Media，2021，1―23. [20] 谭仪忠，刘元雪，张裕，等. 高寒高海拔多年冻土地区抗侵彻深度的研究[J]. 振动与冲击，2015，34(22)：9―12. TAN Yizhong，LIU Yuanxue，ZHANG Yu，et al. Discussing of the penetration depth in high-cold and high-altitude permafrost area [J]. Journal of Vibration and Shock，2015，34(22)：9―12. [21] CHEN W Y，WANG D，MOU Y M，et al. Effect of flow-independent viscosity on the propagation of Rayleigh wave in porous media [J]. Soil Dynamics and Earthquake Engineering，2021，142(2)：106―564. [22] 张懂懂，刘洋，熊峰，等. P波与SV波斜入射下岩体隧道洞口段地震响应分析[J]. 振动与冲击，2022，41(24)：278―286. ZHANG Dongdong，LIU Yang，XIONG Feng，et al. Seismic response analysis of rock tunnel near-portal under oblique incidence of P wave and SV wave [J]. Journal of Vibration and Shock，2022，41(24)：278―286. [23] 巴振宁，彭琳，梁建文，等. 任意多个凸起地形对平面P波的散射[J]. 工程力学，2018，35(07)：7―17. BA Zhenning，PENG Lin，LIANG Jianwen，et al. Scatter and diffraction of arbitrary number of hills for incident plane P-waves [J]. Engineering Mechanics，2018，35(7)：7―17. [24] 叶陈江，史焱永，蔡袁强. S波由饱和土入射于弹性土时在界面上的反射与透射[J]. 振动与冲击，2005，24(2)：41―45. YE Chenjiang，SHI Yanyong，CAI Yuanqiang. Reflection and Transmission of S-waves at the Interface When Incident from Saturated Soil to Elastic Soil [J]. Vibration and Shock，2005，24(2)：41―45. [25] 徐平，夏唐代. 弹性波在准饱和土和弹性土界面的反射与透射[J]. 力学与实践，2006，28(6)：58―63. XU Ping，XIA Tangdai. Reflection and transmission of elastic wave at the interface of nearly saturated soil and elastic soil [J]. Mechanics and Practice，28(6)，58―63. [26] TOMAR S K，ASHISH A. Reflection and transmission of elastic waves at an elastic/porous solid saturated by two immiscible fluids [J]. International Journal of Solids and Structures，2006，43(7)：1991―2013. [27] 陈炜昀，夏唐代，陈伟，等. 平面P波在弹性介质和非饱和多孔弹性介质分界面上的传播[J]. 应用数学和力学，2012，33(7)：781―795. CHEN Weiyun，XIA Tangdai，CHEN Wei，et al. Propagation of plane P waves at the interface between an elastic solid and an unsaturated poroelastic medium [J]. Applied Mathematics and Mechanics，2012，33(7)：781―795. [28] KUMAR R，MIGLANI A，KUMAR S. Reflection and transmission of plane waves between two different fluid saturated porous half spaces [J]. Bulletin of the Polish Academy of Sciences-Technical Sciences，2011，59(2)：227―234. [29] KUMARI M，BARAK M. Seismic reflection and transmission coefficients of a single layer sandwiched between two dissimilar poroelastic solids [J]. Petroleum Science，2017，14：676―693. [30] PENG H，SRIPANICH Y，VASCONCELOS I，TRAMPERT J. A comparison of reflection coefficients in porous media from 2D plane-wave analysis and spectral-element forward modeling [J]. SEG Technical Program Expanded Abstracts，2018，3974―3978. [31] LIU H B，DAI G L，ZHOU F X. Propagation behavior of homogeneous plane-P1-wave at the interface between a thermoelastic solid medium and an unsaturated porothermoelastic medium. European Physical Journal Plus，2021，136(11)：1―27. [32] LIU H B，DAI G L，ZHOU F X，et al. A mixture theory analysis for reflection phenomenon of homogeneous plane-P1-wave at the boundary of unsaturated porothermoelastic media [J]. Geophysical Journal International，2022，228(2)：1237―1259. [33] CHEN W Y，CHEN G X，XIA T D，et al. Energy Flux Characteristics of seismic waves at the interface between soil layers with different saturations [J]. China Science Technological Sciences，2014，57(10)：2062―2069. [34] 仇浩淼. 含孔隙固体多孔介质中弹性波的传播特性研究[D]. 杭州：浙江大学，2019. QIU Haomiao. Research on Propagation Characteristics of Elastic Waves in Biot-type Three-phase Medium [D]. Hangzhou：Zhejiang University，2019. [35] TAJUDDIN M. Rayleigh waves in a poroelastic half-space [J]. Journal of the Acoustical Society of America，1984，75(3)：682―684. [36] TAJUDDIN M，HUSSAINI S J. Reflection of plane waves at boundaries of a liquid filled poroelastic half-space [J]. Journal of Applied Physics，2005，58(1)：59―86. [37] QIU H M，XIA T D，YU B Q. Modeling of wave reflection in gas hydrate-bearing sediments [J]. Wave Motion，2019，85：67―83. [38] KUMAR M，SAINI R. Reflection and refraction of attenuated waves at boundary of elastic solid and porous solid saturated with two immiscible viscous fluids [J]. Applied Mathematics and Mechanics，2012，33(6)：797―816. [39] SHEKHAR S，PARVEZ I A. Reflection and Refraction of Attenuated Waves at the Interface Between Cracked Poroelastic Medium and Porous Solid Saturated with Two Immiscible Fluids [J]. Transport in Porous Media，2016，113(2)：405―430. [40] WANG E，CARCIONE J M，BA J，et al. Reflection and transmission of plane elastic waves at an interface between two double-porosity media: effect of local fluid flow [J]. Surveys in Geophysics，2020，41(2)：283―322. [41] LUO J，STEVENS R. Porosity-dependence of elastic moduli and hardness of 3Y-TZP ceramics[J]. Ceramics International，1999，25(3)：281-286. [42] 刘志军. 双相多孔介质中波传播特性及相关问题研究[D]. 杭州：浙江大学，2015. LIU Zhijun. Research on wave propagation characteri-stics and related problems in two-phase porous medium [D]. Hangzhou：Zhejiang University，2015.