Theoretical and experimental research on elastic wave velocity influenced by crack density

Summary In this research, we create set of crack samples with different crack density. The samples are constructed base on Hudson model’s assumption, homogeneous solid matrix contain aligned penny shape discs with low velocity. P- and S- wave velocity in parallel direction and perpendicular direction are measured with transmission method in ultrasonic measurement equipment. Theoretical velocities are calculated by parameters of solid matrix and cracks base on Hudson model. Theoretical and experimental results show that measured P wave velocities are basically agree with theoretical predications in parallel direction, otherwise lower than theoretical predictions in perpendicular direction. The measurement results of P wave anisotropy is lower than theoretical predication, the second order of theoretical prediction is more close to measurement results. The experiment results of fast shear wave are higher than theoretical calculation, otherwise the measurement results of slow shear wave are basically agree with the theoretical prediction. Theoretical calculated shear wave anisotropy is lower than experiment measurement results.