<p>This study conducted model calibration based on a downhole glutenite core sample and established heterogeneous glutenite models using the representative volume element method. Cutting analysis of single cutters was performed to investigate the cutting behavior of conventional plane cutter at varying cutting depths and back rake angles, while comparing the rock-breaking effectiveness of plane cutters with specially-shaped cutters. The cutting performance of axe-shaped cutters and tri-plane cutters at different edge angles was assessed, revealing that reducing the edge angle can mitigate cutter vibrations, with respective reductions of 47% and 36% in impact for the two cutters at an edge angle of 140°. PDC bit drilling models were established, which showed bit with tri-plane cutters exhibited the most stability but the lowest rate of penetration (ROP), being 10.7% less than plane cutter bit. However, the axe-shaped cutter bit displayed greater aggressiveness and the highest ROP value, but its torque and resultant force are higher than the plane cutter bit. According to the comprehensive simulation results, specially-shaped cutters are more suitable for glutenite formations, the rock-breaking efficiency of axe-shaped cutter is better than that of plane cutter, while the impact degree of tri-plane cutter is less than that of plane cutter.</p>