Formulas and Calculations for Drilling, Production and Workover: All the Formulas You Need to Solve Drilling and Production Problems, Second Edition

Drill string volume, barrels
Annular volume, barrels
Strokes to displace: drill string, annulus, and total circulation from kelly to shale shaker
Example: Determine volumes and strokes for the following:
| Drill pipe 5.0 in. 19.5 lb/ft | ||
| Inside diameter | = 4.276 in. | |
| Length | = 9400 ft | |
| Drill collars 8.0 in. OD | ||
| Inside diameter | = 3.0 in. | |
| Length | = 600 ft | |
| Casing 13-3/8 in. 54.5 lb/ft | ||
| Inside diameter | = 12.615 in. | |
| Setting depth | = 4500 ft | |
| Pump data 7 in. by 12 in. triplex | ||
| Efficiency | = 95% | |
| Pump output | = 0.136 @ 95% | |
| Hole size | = 12-1/4 in. |
Drill string volume
Drill pipe volume, bbl:
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Barrels = 0.01776 9400 ft
Barrels = 166.94
Drill collar volume, bbl:
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Barrels = 0.0087 600 ft
Barrels = 5.24
Total drill string volume:
Total drill string vol, bbl = 166.94 bbl + 5.24 bbl
Total drill string vol = 172.18 bbl
Annular volume
Drill collar/open hole:
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Barrels = 0.0836 600 ft
Barrels = 50.16
Drill pipe/open hole:
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Barrels = 0.12149 4900 ft
Barrels = 595.3
Drill pipe/cased hole:
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Barrels = 0.130307 4500 ft
Barrels = 586.38
Total annular volume:
Total annular vol = 50.16 + 595.3 + 586.38
Total annular vol = 1231.84 barrels
Strokes
Surface-to-bit strokes:
Surface-to-bit strokes = 172.16 bbl 0.136 bbl/stk
Surface-to-bit strokes = 1266
Bit-to-surface (or bottoms-up) strokes:
Bit-to-surface strokes...