Deep and ultra-deep well drilling faces challenges of low rock-breaking efficiency and short bit life. This study optimizes novel convex-ribbed ridge PDC cutters to enhance drilling performance. Numerical simulations utilizing the orthogonal experiment design analyzed the effects of ridge angle ( \(\alpha\) ), ridge height ( \(h\) ), and fillet radius ( \(r\) ) on mechanical specific energy (MSE). A systematic optimization strategy combining the Steepest Descent Method and Response Surface Methodology (RSM) was employed. The influence of the ridge angle ( \(\alpha\) ) on the rock-breaking performance of the convex-ribbed ridge cutter was experimentally investigated. Results indicate the influence order on MSE is \(\alpha\) > \(h\) > \(r\) . The optimal parameters were determined as \(\alpha\) = 162°, \(h\) = 0.4 mm, and \(r\) = 3.8 mm. Comparative analysis shows the optimized cutter reduces MSE by 13.85% and significantly improves stability compared to conventional flat cutters. Field tests in heterogeneous carboniferous formations demonstrated that bits equipped with optimized cutters increased the rate of penetration (ROP) by 19%–85.7% and footage by 141.3%–237.2% compared to conventional bits. This study provides a rigorous optimization framework and effective tool solutions for hard-to-drill formations.