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Lesson 6

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**1. **Lesson 6 Drilling System - Pressure Loss Calculations

**2. **Harold Vance Department of Petroleum Engineering Drilling System - Pressure Loss Calculations Read: MI Chapter 5
Multimedia Program # 3 & 4

**3. **Harold Vance Department of Petroleum Engineering Drilling System - Pressure Loss Calculations Hydrostatics
Buoyancy
Flow through pipes and annuli
Flow path
Pressure loss calculations

**4. **Harold Vance Department of Petroleum Engineering Hydrostatics Liquid columns
Gas columns
Complex Columns

**5. **Harold Vance Department of Petroleum Engineering Hydrostatics in Liquid Columns 1 cu.ft. of water
62.4 lb/cuft
Area = 12”x12”
=144 sq.in
62.4 / 144 = .433 psi/ft
.433psi/ft/8.333 ppg
0.051962
~0.052 psi/ft/ppg
HSP = 0.052 x MW x TVD

**6. **Harold Vance Department of Petroleum Engineering Hydrostatics in Liquid Columns

**7. **Harold Vance Department of Petroleum Engineering Hydrostatics in Gas columns

**8. **Harold Vance Department of Petroleum Engineering Hydrostatics in Complex Columns

**9. **Harold Vance Department of Petroleum Engineering Hydrostatics in Complex Columns

**10. **Harold Vance Department of Petroleum Engineering Equivalent Density Concept EMW = Pressure/ (0.052 x TVD)
Equivalent mud weight is the total pressure imposed at a given depth expressed in ppg equivalent
e.g. 5946/ (0.052 x 10000) = 11.43 ppg

**11. **Harold Vance Department of Petroleum Engineering Buoyancy The net effect of hydraulic pressure acting on a foreign material immersed in the well fluid.

**12. **Harold Vance Department of Petroleum Engineering Buoyancy F1 = p1A = 0.052 x MW x D x A = Downward force
F2 = p2A = 0.052 x MW (D + h)A = Upward Force
The resultant buoyant force:
Fbo = F2 - F1 = 0.052 x MW x A (D+h-D)
= 0.052 x MW x A x h

**13. **Harold Vance Department of Petroleum Engineering Buoyancy Fbo = Weight of a the fluid displaced.
The effective weight of the submerged object is:
We = W - Fbo = W[1-(rm/rs)]

**14. **Harold Vance Department of Petroleum Engineering Flow through pipes and annuli

**15. **Harold Vance Department of Petroleum Engineering Flow through pipes and annuli

**16. **Harold Vance Department of Petroleum Engineering Flow path

**17. **Harold Vance Department of Petroleum Engineering Pressure loss calculations

**18. **Harold Vance Department of Petroleum Engineering Turbulence - Newtonian Onset of turbulence occurs at a Reynold’s number of 2100
Table 4.6 gives equations for Reynold’s number

**19. **Harold Vance Department of Petroleum Engineering Friction Factor - Newtonian

**20. **Harold Vance Department of Petroleum Engineering Turbulence -Bingham Plastic

**21. **Harold Vance Department of Petroleum Engineering Turbulence - Power Law

**22. **Harold Vance Department of Petroleum Engineering Velocity & Flow Behavior Parameters

**23. **Harold Vance Department of Petroleum Engineering Turbulence Criteria

**24. **Harold Vance Department of Petroleum Engineering Laminar Flow Frictional Pressure

**25. **Harold Vance Department of Petroleum Engineering Turbulent Flow Frictional Pressure

**26. **Harold Vance Department of Petroleum Engineering

**27. **Harold Vance Department of Petroleum Engineering Example 4.21 Given:
MW = 9.0 ppg Newtonian fluid
Viscosity = 15 cp
Depth = 10,000’
Hole size = 7”
DP size = 5”
q = 80 gpm
Required:
Static and circulating BHP (assume Laminar)

**28. **Harold Vance Department of Petroleum Engineering Solution Static BHP
0.052 x 9 x 10,000 = 4680 psig

**29. **Harold Vance Department of Petroleum Engineering Solution Frictional pressure

**30. **Harold Vance Department of Petroleum Engineering Solution Circulating BHP = HSP + Friction
= 4680 + 51 = 4731 psig.

**31. **Harold Vance Department of Petroleum Engineering Turbulence? Critical Reynolds number = 2100
What is the critical velocity

**32. **Harold Vance Department of Petroleum Engineering Critical Velocity?