Mathematical Modeling Applied to Drilling Engineering: An Application of Bourgoyne and Young ROP Model to a Presalt Case Study

Table 6

BYM applied parameters from different academic sources.

Parameter	Normalization factor	Lower boundary	Upper boundary
Bourgoyne Jr. and Young Jr., 1974 and 1986 [4, 7]
	100 [rpm]	—	—
	10,000 [ft]	—	—
	9.00 [ppg]	—	—
	4.00 [k-lbf/in]	—	—
	1,000 [lbf]	—	—
	—	0.5	1.9
	—	0.000001	0.0005
	—	0.000001	0.0009
	—	0.000001	0.0001
	—	0.5	2.0
	—	0.4	1.0
	—	0.3	1.5
	—	0.3	0.6
-squared value	—	N/A
Eren, - 2015 [11]
	60 [rpm]	—	—
	8,000 [ft]	—	—
	9.00 [ppg]	—	—
	4.00 [k-lbf/in]	—	—
	1,000 [lbf]	—	—
		1.0005588	3.29142857
		0.000191	0.004791
		0.00035	0.658851
		0.000057	0.000347
		0.102882	0.852857
		0.48	1.684292
		0.284286	2.587306
		−0.63243	1.080511
-squared value		0.379	0.5395
Irwan et al., - 2012 [12]
	100 [rpm]	—	—
	10,000 [ft]	—	—
	9.00 [ppg]	—	—
	4.00 [k-lbf/in]	—	—
	1,000 [lbf]	—	—
		3.91
		0.0000945
		0.0000686
		0.000864
		0.37
		2.23
		0.025
		0.67
-squared value		N/A