You may sometimes find the table for Free Point Constant for your stuck pipe calculation so you use the formula from the previous post to determine Free Point Constant and apply it into free pipe formula to determine where the depth of stuck pipe is.
*** This calculation is based on vertical well assumption.***
The steps of calculation are as follows:
1 ) Determine the free point constant (FPC) by this following formula:
FPC = As x 2500
where: As = pipe wall cross sectional area, sq in.
As = (OD2-ID2) x 0.7854
OD and ID are inch unit
2) Determine depth of stuck pipe by this following formula:
Depth of stuck pipe = (Pipe stretch in inch x free point constant (FPC)) ÷ Pull force in thousands of pounds
Please see the example below to demonstrate you how to apply those 2 formulas above into real drilling operation.
Example#2: Determine the free point constant (FPC) and the depth the pipe is stuck using the following information:
3-1/2” tubing # 9.5 lb/ft
3-1/2” tubing ID = 2.992 inch
20 inch of stretch with 25 Klb of pulling force
a) Determine free point constant (FPC):
FPC = (3.52 – 2.9922) x 0.7854 x 2500
FPC = 6475.5
b) Determine the depth of stuck pipe:
Feet of free pipe (ft) = (20 inch x 6475.5) ÷ 25
** 25 is the kilo-force to pull to 20 inch **
Feet of free pipe (ft) = 5,180 ft
Please find the Excel sheet used for calculating depth of stuck pipe.
Ref book: 
Formulas and Calculations for Drilling, Production and Workover, Second Edition
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October 28th, 2009 at 12:55 am
In the calculations above in “Determine how many feet of free pipe without free pipe constant table” b) determine length of free pipe….pipe stretch(20 inches) x free pipe constant(6475.5) divided by 25 feet..where does the 25feet come from?
November 2nd, 2009 at 2:05 am
In my blog, it may lead confusion to you because I put feet after 25. It means that after all calculation is done, the unit that you will get is feet. 25 is Kilo lb force pull in order to get 20 inch stress.