Table 2 Range of intervals for the values of the coefficients of rate of penetration equation.

From: An analytical model for quantitative evaluation of friction drag in directional sliding drilling

Model

Formula

Parameter Settings

  

Variable

Interval

MSE

\(\frac{{13.33 \cdot \mu \cdot RPM}}{{{D_B} \cdot \left( {\frac{{CCS}}{{EF{F_M} \cdot WOB}} - \frac{1}{{{A_B}}}} \right)}}\)

\(\mu\)

(0,1)

\({D_B}\)

Bit Size(inches)

Rock Breaking Efficiency

(0.001,0.5)

  

Variable

Interval

Motahhari

\({W_f} \cdot \left( {\frac{{G \cdot RP{M^y} \cdot WO{B^\alpha }}}{{{D_B} \cdot S}}} \right)\)

G

(0.001)

\(\alpha\)

(-10,100)

 

\(\gamma\)

(-10,100)