The Hawkins formula may be used to calculate the skin due to formation damage. A well completed on a 500 mD formation with a well spacing of 40 acres (re = 745 ft). The wellbore gun where the perforation charges have a depth of penetration of 14 in. If it is decided to case the hole, the drilling mud used to drill the well controls the extent of permeability impairment and the depth of the damaged region extends beyond the wellbore. The following mud types are available:
Mud Permeability in damaged zone (mD) Depth of invasion (ft)
A 100 1.6
B 20 0.8
C 300 2.0
D 200 2.3
Procedure for the calculations:
1st Calculate the skin for each mud system using the Hawkins equation.
2nd Calculate the Productivity ratio Joriginal / Jimpaired: n / (r + s).
3rd Fill in the following table using the calculation results:
Mud type S Joriginal / Jimpaired
A 1.6
B 0.8
C 2.0
D 2.3
4th Which mud system do you recommend from a well productivity point of view for an open hole and a cased hole completion?