基于岩屑形貌分形特征的<strong>PDC</strong>齿破岩比功评估模型

基于岩屑形貌分形特征的PDC齿破岩比功评估模型

赫文豪,李欣龙,张润青,刘利,史怀忠,黄中伟,熊超,陈振良,吴洪志

Evaluation model of rock-breaking specific energy for PDC cutter based on fractal characteristics of rock cutting morphology

Wenhao HE,Xinlong LI,Runqing ZHANG,Li LIU,Huaizhong SHI,Zhongwei HUANG,Chao XIONG,Zhenliang CHEN,Hongzhi WU

表2 PDC齿破岩比功评估模型关键参数的拟合结果

Table 2 Fitting results of key parameters of PDC cutter rock-breaking specific energy evaluation model

齿形	参数	关键参数拟合公式	确定系数 $r^{2}$
常规PDC齿	F_h	$- 628.632 9 + 1 594.251 x_{1} + 13.293 915 x_{2} + 370.999 04 {(x_{1} - 0.9)}^{2} + 0.859 677 (x_{2} {- 20)}^{2}$	0.999 9
	D_l	$2.561 879 1 - 0.139 8 x_{1} + 0.007 85 x_{2} - 0.006 665 x_{3}$	0.790 4
	l_max	$- 0.407 394 + 2.984 364 9 x_{1}$	0.700 8
	C	$9.732 238 9 + 397.108 84 x_{1} - 110.530 8 (x_{1} {- 0.9)}^{2}$	0.994 5
锥形PDC齿	F_h	$- 623.423 4 + 934.350 06 x_{1} + 43.282 1 x_{2} + 152.242 34 {(x_{1} - 1.833 33)}^{2} - 0.314 206 (x_{1} {- 1.833 33)}^{2}$	1.000 0
	D_l	$2.796 095 2 - 0.085 729 x_{1} - 0.063 343 (x_{1} {- 1.833 33)}^{2}$	0.908 5
	l_max	$- 15.035 46 + 12.197 243 x_{1} + 0.225 426 3 x_{2}$	0.983 6
	C	$242.590 57 + 54.885 017 x_{1} + 2.261 666 7 x_{2} - 0.708 972 (x_{2} {- 20)}^{2}$	0.986 7