上海交通大学学报(自然版) ›› 2014, Vol. 48 ›› Issue (12): 1777-1783.

• 数理科学和化学 • 上一篇    下一篇

Love波在预应力流体饱和双重孔隙介质层中传播的特性

吴佳平,赵社戌   

  1. (上海交通大学 船舶海洋与建筑工程学院, 上海 200240)
  • 收稿日期:2014-04-03
  • 基金资助:

    国家自然科学基金资助项目(50978162)

Love Waves in a FluidSaturated Double-Porosity Layer with Initial Stress

WU Jiaping,ZHAO Shexu   

  1. (School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University,
    Shanghai 200240, China)
  • Received:2014-04-03

摘要:

摘要:  基于扩展的Biot理论,研究了覆盖于各向异性不均匀弹性半空间上的受预应力流体饱和双重孔隙介质中Love波的传播.推导了速度的频散方程以及Love波速的上下界限,讨论了孔隙率、不均匀性、各向异性和预应力等参数对波速的影响.通过数值计算,结果发现孔隙介质层基质孔隙的孔隙率、裂隙孔隙率及基质孔隙的孔隙率占总孔隙率的比重越大,Love波的波速越大;随着不均匀程度的提高及各向异性系数的增大,Love波的波速增大.无论是在双重孔隙介质层中还是弹性半空间中,预拉应力会使Love波的波速提高,而预压应力会降低Love波的波速.

关键词:  , 流体饱和双重孔隙介质, 不均匀弹性介质, 预应力, Love波

Abstract:

Abstract: Based on the extended Biot theory for doubleporosity media, the propagation behavior of Love waves in a doubleporosity fluidsaturated layer with initial stress lying over a prestressed, anisotropic, inhomogeneous elastic halfspace was studied. The dispersion equation for the Love waves and the upper and lower bounds of the Love wave speed were derived. The effect of the medium characteristics such as porosity, inhomogeneity, anisotropy, initial stress was discussed. Numerical calculation shows that as the storage porosity, the fracture porosity or the percentage of the storage porosity in the total porosity of the layer increases, the phase velocity of Love wave increases. As the anisotropy or heterogeneity of the half space increases, the phase velocity of Love wave increases. No matter in the layer or the half space, tensile initial stresses increase the velocity of Love waves while compressive initial stresses in the layer decrease the velocity of Love waves.
Key words:

Key words: fluid-saturated double-porosity medium, inhomogeneity, initial stress, Love waves

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