Propagation characteristics of plane shear horizontal wave in saturated frozen soil strata
MA Qiang1，2，ZHOU Fengxi3，JIANG Ye1
(1. School of Civil Engineering and Water Resources，Qinghai University，Xining，Qinghai 810016，China；2. Qinghai Provincial Key Laboratory of Energy-saving Building Materials and Engineering Safety，Xining，Qinghai 810016，China；
3. School of Civil Engineering，Lanzhou University of Technology，Lanzhou，Gansu 730050，China)
Abstract：The frozen porous media recently attract a great deal of attention in the field of the geophysical exploration as follows. Most of the studies on wave propagation in frozen soil have focused on the interface between one or two media. In order to reflect the propagation law of SH wave in frozen soil more intuitively，based on the wave theory of frozen saturated porous media，this paper establishes a free-field model of a saturated frozen soil overlying bedrock under the incidence of plane SH wave. Combined with the Helmholtz theorem，an analytical expression for the propagation velocity of SH wave in saturated frozen soil is obtained by establishing the dynamic stiffness matrix. The influence patterns of incidence angle，incidence frequency，cementation parameters，porosity，temperature and contact parameters on the propagation velocity of SH wave were analyzed. The results show that the propagation velocity of SH wave increases significantly with the increase of cementation parameters and contact parameters. The propagation velocity of SH wave gradually increasing with increasing porosity and temperature overall. The incidence angle of the SH wave has a significant effect on its propagation velocity，which varies nonlinearly with the increase of the incidence angle. There are corresponding peak velocity frequencies for different incidence angles with varying parameters. Most of the acceleration of the dynamic response is concentrated in the high incidence frequency band.
LAI Y，XU X，DONG Y，et al. Present situation and prospect of mechanical research on frozen soils in China[J]. Cold Regions Science and Technology，2013，87：6-18.
[2]
BIOT M A. Theory of propagation of elastic waves in a fluid‐saturated porous solid. II. Higher frequency range[J]. The Journal of the Acoustical Society of America，1956，28(2)：179-191.
[3]
STOLL R D，KAN T K. Reflection of acoustic waves at a water-sediment interface[J]. The Journal of the Acoustical Society of America，1981，70(1)：149-156.
[4]
LO W C，SPOSITO G，MAJER E. Wave propagation through elastic porous media containing two immiscible fluids[J]. Water Resources Research，2005，41(2)：1-20.
[5]
CHEN W，XIA T，SUN M，et al. Transverse wave at a plane interface between isotropic elastic and unsaturated porous elastic solid half-spaces[J]. Transport in Porous Media，2012，94(1)：417-436.
[6]
SANTOS J E，RAVAZZOLI C L，CARCIONE J M. A model for wave propagation in a composite solid matrix saturated by a single-phase fluid[J]. The Journal of the Acoustical Society of America，2004，115(6)：2 749-2 760.
[7]
LECLAIRE P，COHEN TÉNOUDJI F，AGUIRRE PUENTE J. Extension of Biot?s theory of wave propagation to frozen porous media[J]. The Journal of the Acoustical Society of America，1994，96(6)：3 753-3 768.
[8]
CARCIONE J M，SERIANI G. Wave simulation in frozen porous media[J]. Journal of Computational Physics，2001，170(2)：676-695.
[9]
CARCIONE J M，SANTOS 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)：7 839- 7 847.
[10]
YANG R，LEMARCHAND E，T F C，et al. A micromechanics model for partial freezing in porous media[J]. International Journal of Solids and Structures，2015，75：109-121.
[11]
LECLAIRE P，COHEN TÉNOUDJI F，AGUIRRE PUENTE J. Observation of two longitudinal and two transverse waves in a frozen porous medium[J]. The Journal of the Acoustical Society of America，1995，97(4)：2 052-2 055.
[12]
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.
[13]
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)：2 669-2 674.(ZHOU Fengxi，LAI Yuanming. Propagation characteristics of elastic wave in saturated frozen soil[J]. Rock and Soil Mechanics，2011，32(9)：2 669-2 674.(in Chinese))
[14]
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)：4 053-4 062.(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)：4 053-4 062.(in Chinese))
[15]
周 斌. 冻土地区地基表面地震动及瑞利波传播特性研究[硕士学位论文][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[M. S. Thesis][D]. Zhoushan：Zhejiang Ocean University，2020.(in Chinese))
[16]
蒋汇鹏，马 强，邵生俊，等. 平面S波在弹性介质与饱和冻土介质分界面上的能量传输特性[J]. 岩石力学与工程学报，2023，42(4)：976-992.(JIANG Huipeng，MA Qiang，SHAO Shengjun，et al. Characteristic of energy transmission of plane-S-wave at interface between elastic medium and saturated frozen soil medium[J]. Chinese Journal of Rock Mechanics and Engineering，2023，42(4)：976- 992.(in Chinese))
[17]
蒋汇鹏，马 强，曹亚鹏. P波在弹性介质与饱和冻土介质分界面上的透反射问题研究[J]. 岩土力学，2023，44(3)：916-929.(JIANG Huipeng，MA Qiang，CAO Yapeng. Study on the reflection and transmission of P wave on the interface between elastic medium and saturated frozen soil medium[J]. Rock and Soil Mechanics，2023，44(3)：916-929.(in Chinese))
[18]
DVORKIN J，HELGERUD M B，WAITE W F，et al. Introduction to physical properties and elasticity models[C]// Natural gas hydrate in Oceanic and Permafrost Environments. [S. l.]：[s. n.]，2003：45-260.
[19]
LUO J，STEVENS R. Porosity-dependence of elastic moduli and hardness of 3Y-TZP ceramics[J]. Ceramics International，1999，25(3)：281-286.
[20]
刘志军. 双相多孔介质中波传播特性及相关问题研究[博士学位论文][D]. 杭州：浙江大学，2015.(LIU Zhijun. Research on wave propagation characteristics and relevant problems in two-phase porous media[Ph D Thesis][D]. Hangzhou：Zhejiang University，2015.(in Chinese))
2024, Vol. 43 
