含双理想流体夹杂的双重孔隙介质中弹性波的散射

摘要/Abstract

摘要：

摘要：运用Helmholtz分解的方法，对双重孔隙介质波动方程中的固体骨架、基质孔隙和裂缝孔隙的位移耦合作用项进行解耦.进而利用波函数展开法、球坐标转换和叠加原理，将双夹杂散射问题的解析解在同一个坐标系下进行表达.通过实例计算及分析，得到不同参数下波幅随频率的变化规律.计算结果表明：不同夹杂间距和夹杂半径对P1～P3波和S波波幅有着明显的影响，其中P1～P3波和S波的一阶振幅随着夹杂间距的增大而减小，且随着频率的增大该影响更为显著；P1～P3波和S波的一阶振幅随着夹杂半径的增大而增大，夹杂半径对P1波和P3波的影响较为显著，而对P2波、S波的影响相对较弱.

关键词: 双重孔隙介质, 双球型夹杂, 弹性波, 散射

Abstract:

Abstract： Using the Helmholtz resolution method, the solidmatrix, matrix pore and fracture pore coupling equations were decoupled. A series of elastic waves equations were obtained by using the wave function expansion method. Then, with the help of the transformation theory for spherical coordinates and the superposition principle, the scattering problem of double spherical inclusions were expressed in the same coordinate system. Finally, examples of calculation and analysis of different parameters were concerned to determine their impacts on first order wave amplitude with variation to frequency. The results show that different inclusions distance and inclusion radius have significant impact on P1 to P3 wave and Swave amplitude. The value of P1 to P3 wave and Swave amplitude decrease as the distance between the inclusions increases. This impact is more significant at higher frequency. Besides, the value of P1 to P3 wave and Swave amplitude increase as the radius of the other inclusion increases. The radius has more impact on P1 and P3 wave but has a rather small influence on P2 wave and S wave amplitude.

Key words: double porosity, double spherical inclusions; , elastic wave, scattering

中图分类号:

O 347

董东霞，苏军，赵社戌. 含双理想流体夹杂的双重孔隙介质中弹性波的散射[J]. 上海交通大学学报（自然版）, 2015, 49(07): 1062-1066.

DONG Dongxia,SU Jun,ZHAO Shexu. Scattering of Elastic Wave by Two Ideal Fluid-Saturated Inclusions in Double-Porosity Medium[J]. Journal of Shanghai Jiaotong University, 2015, 49(07): 1062-1066.

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