Usually, there exist both pores and oriented cracks in real rocks, and the existence of oriented cracks leads to the anisotropy, alters the rock stiffness property, and affects the elastic wave velocities. Besides, the local flow (squirt flow) between pores and cracks is also considered an important factor influencing the elastic wave velocities. In this paper, the frequency-dependent model is derived based on the squirt flow model to describe the elastic wave characteristics in anisotropic media induced by cracks. Through the study of the elastic wave characteristics at different crack parameters, incidence angles, and frequencies, it is found that the increase of crack density decreases the rock stiffness and enhances the effect of squirt flow resulting in the decrease of wave velocities and the increase of the degree of anisotropy, and the change of aspect ratio only influences the dispersion range. Moreover, P-wave velocity is found to be greatly affected by the squirt flow in a direction perpendicular to crack plane, and as the polarization direction is always parallel to crack plane, the fast shear wave is not influenced by squirt flow. Besides, the effect of squirt flow decreases at high frequency, which leads to the increase of the rock stiffness and wave velocities. By applying the frequency-dependent model to a real case, the experimental data can be well-interpreted.

通常，真实岩石中同时存在孔隙和定向裂缝，定向裂缝的存在导致各向异性，改变岩石刚度特性，影响弹性波速。此外，孔隙和裂缝之间的局部流动（喷射流）也被认为是影响弹性波速度的重要因素。本文在喷射流模型的基础上推导出频变模型来描述裂纹引起的各向异性介质中的弹性波特性。通过研究不同裂缝参数、入射角和频率下的弹性波特性，发现裂缝密度的增加降低了岩石刚度，增强了喷射流的作用，导致波速降低和波速增加。各向异性程度，纵横比的变化只影响色散范围。此外，发现垂直于裂缝平面方向的喷射流对纵波速度的影响很大，并且由于极化方向总是平行于裂缝平面，快横波不受喷射流的影响。此外，高频下喷射流的影响减弱，导致岩石刚度和波速增加。通过将频率相关模型应用于实际案例，可以很好地解释实验数据。此外，高频下喷射流的影响减弱，导致岩石刚度和波速增加。通过将频率相关模型应用于实际案例，可以很好地解释实验数据。此外，高频下喷射流的影响减弱，导致岩石刚度和波速增加。通过将频率相关模型应用于实际案例，可以很好地解释实验数据。