本文简述了国外研究钻速方程的概况;分析了影响钻井的各种因素;介绍了钻压、转速、排量、钻头牙齿磨损四个因素、对机械钻速的单因素影响及它们之间交互作用试验;阐明了应用线性回归、正交设计、多元正交回归等数理统计学,设计试验方案,处理、计算试验数据的方法;建立了单因子试验及多因子试验的数学模型;最后就试验结论作了扼要总结。 In this paper, we briefly introduce the general situation of the research on the penetration rate of drilling abroad, analyze the various factors that affect drilling, introduce the four factors of weight on bit, rotation speed, displacement and bit wear on the single factor of ROP, Interaction test; clarify the use of linear regression, orthogonal design, multiple orthogonal regression and other mathematical statistics, design test program, processing, calculation of experimental data; established single factor test and mathematical model of multi-factorial test; finally The conclusion of the experiment made a concise summary.