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基于修正的Biot理论,通过数值计算分别研究了3种体波(P1、P2、S波)的波速和衰减与固体颗粒压缩性、频率、孔隙率、流体黏滞系数、动力渗透系数等参数之间的关系。分析结果表明:(1)P1、P2波的波速和衰减与固体颗粒压缩性之间近似呈线性变化关系,而S波则几乎保持不变,并通过定量比较发现,能否忽略固体颗粒压缩性的影响取决于固体骨架体变模量(bK)与固体颗粒体变模量(sK)的比值;(2)孔隙率对P1、S波波速的影响较为显著,并且预测当孔隙率接近于1.0时,P1、P2波之间发生相互转换;(3)3种体波的波速和衰减均随流体黏滞系数和动力渗透系数而变化,且在这两个参数下的变化规律基本相反;(4)3种体波的波速和衰减均随频率的增大而增大,其中,频率对P2波的影响较大。
Based on the modified Biot theory, the wave velocity and attenuation of three kinds of body waves (P1, P2, S waves) and the compressibility of solid particles, frequency, porosity, fluid viscosity and dynamic permeability coefficient Relationship between. The results show that: (1) The wave velocities and decays of P1 and P2 waves have a linear relationship with the compressibility of solid particles, while the S wave almost remains unchanged. The quantitative comparisons show that the compressibility of solid particles can be ignored Depends on the ratio of the moduli (bK) of the solid framework to the sK of the solid particles; (2) the influence of porosity on the velocities of P1 and S waves is significant, and it is predicted that when the porosity is close to 1.0 (3) The wave velocity and attenuation of the three kinds of body waves both change with the fluid viscosity coefficient and the dynamic permeability coefficient, and the law of change under these two parameters is basically the opposite. ( 4) The wave velocity and attenuation of 3 kinds of body waves both increase with the increase of frequency, of which the frequency has a great influence on P2 wave.