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含缺陷岩体具有尺度效应,此类岩体中传播的弹性波也有尺度效应。对现场测点EC37-201-06,在3.0×3.2 m2的范围内采用动态有限元方法进行了15种尺度的弹性波传播规律的分析研究。对现场测点EC37-101-06,在1.2×1.2 m2的范围内采用准静态有限元方法进行了60种尺度的弹性波波速与围压及计算尺度的关系的计算分析。前者采用了射线理论分析思想,而后者采用等效介质分析思想,得到了相应的弹性波的尺度效应,但二者规律有差异。为建立二者间的联系,也为了工程应用,基于量纲理论分析方法,给出了一个半理论的波速与入射波频率的计算公式。与现场声波和地震波测试结果,以及考虑随机分布单节理散射模型的计算结果进行比较,初步分析结果表明,此公式基本可行。
Defective rock mass has scale effect, and the elastic wave propagating in such rock mass also has scale effect. The field test point EC37-201-06, in the range of 3.0 × 3.2 m2 using dynamic finite element method for 15 kinds of scales of elastic wave propagation analysis. For the on-the-spot measuring point EC37-101-06, the quasi-static finite element method is used in the range of 1.2 × 1.2 m2 to calculate and analyze the relationship between the wave velocity and the confining pressure of 60 scales. The former adopted the theory of ray theory, while the latter adopted the equivalent medium analysis idea, and obtained the corresponding scale effect of elastic wave, but the laws of the two are different. In order to establish the relationship between the two, and also for engineering applications, based on the dimensional theory analysis method, a semi-theoretical formula for calculating the wave velocity and incident wave frequency is given. Compared with the results of the acoustic and seismic tests in the field and the calculation results of the stochastic distributed single-joint scattering model, the preliminary analysis shows that this formula is feasible.