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利用平面波分析方法,推导了Santos三相孔隙弹性理论的纵横波频散关系方程.考虑参考压力、高频影响校正以及孔隙中两种流体之间的牵引耦合,详细分析了含气饱和度和频率对Santos理论所预计的四类体波的相速度和衰减的影响.将理论结果与公开文献中的低频和高频实验数据分别进行了对比分析.结果显示,对于低频情况,纵横波速度的理论和实验结果的吻合令人满意.对于高频情况,Santos理论预计的纵波速度不理想.高频实验对比中,还比较了几种流行的孔隙介质模型,其中White模型与实验数据的匹配较好,但该模型中的参数b影响较大.利用线性黏弹性理论,对Santos模型进行了衰减机制的扩展,并与实验结果进行了对比.结果显示,含水饱和度低于90%,扩展模型给出了较好的横波衰减预计.纵波的理论衰减结果与实验数据之间存在一定的差别,但该差别可用已有的实验观测结果给予解释.
The plane-wave analysis method is used to derive the vertical and horizontal dispersion equations of the Santos three-phase pore-elastic theory. Considering the reference pressure, the correction of the high-frequency influence and the traction coupling between the two fluids in the pore, the gas saturation and frequency The effects of Santos theory on the phase velocities and decay of four types of body waves are analyzed.The theoretical results are compared with the experimental data of low frequency and high frequency in open literature respectively.The results show that for the low frequency case, The experimental results are in good agreement with the experimental results.For the high frequency case, the predicted P-wave velocity is not ideal.With the comparison of high-frequency experiments, several popular porous media models are also compared, and the White model matches well with the experimental data , But the parameter b in this model is more influential.A linear viscoelastic theory is used to expand the damping mechanism of Santos model and to compare with the experimental results.The results show that the water saturation is less than 90% A better prediction of shear-wave attenuation is obtained.The theoretical attenuation of longitudinal wave has some differences with the experimental data, but the difference can be observed by the existing experimental observations Fruit to give an explanation.