| THEORY & FORMULAE |
This term is generally used to refer to the difference between the average fluid velocity and the average cuttings velocity, measured in the axial direction of the pipe/wellbore, irrespective of whether it is vertical, deviated or horizontal.
The particle slip velocity of a cutting of a specific size in a given fluid is estimated here according to Moore's correlation , a correlation which has achieved widespread acceptance in the oil industry. It provides insight for the selection of appropriate pump operating conditions and drilling fluid properties that will optimize the transportation of drill cuttings to the surface. The associated annular velocity and net cuttings rise velocity are also calculated, and the sensitivity of slip velocity to pump rate is plotted.
The relevant equations are:
Where:
Vs = slip velocity, ft/min.
v = annular velocity, ft/min
ρm = mud weight, ppg
ρp = particle density, ppg
φp = particle diameter, in.
n = derived parameter of mud, dimensionless
K = derived parameter of mud, dimensionless
θ300 = 300 viscometer dial reading
θ600 = 600 viscometer dial reading
θ300 = PV + YP
θ600 = θ300 + PV
PV = plastic viscosity of mud, cps
YP = yield point of mud, lb/100ft2
Dh = hole diameter, inches
Dp = drill pipe OD, inches