Data Set S1 provides plotted data of the measured Vp and Vs against the group angles to the bedding plane on the natural shale #LH, as well as measured Vp and Vsh on the varied angles to the bedding plane on the horizontal cored AORS #H. Data Set S2 provides plotted data P-wave velocities and S-wave velocities as function of confining pressures for the loading and unloading procedure on the AORS #H and natural shale #LH. Data Set S3 provides plotted data of the Basic properties (Density, porosity, permeability) and Vp, Vsh, Vsv, Vp/Vsh, Vp/Vsv, PI, SI, λρ and μρ of the AORS with different kerogen content during the pressure loading process