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Unformatted text preview: on Teale’s original equation. The third
term on the right side is the bit hydraulic-related term. The number 1,980,000 is a unit conversion factor. Lambda (λ) is a
dimensionless bit-hydraulic factor depending on the bit diameter (Fig. 1). The ratio of bit hydraulic power and bit area (HPB /
AB) is the bit HSI (hp/in2). ROP is the rate of penetration (ft/hr).
DSE with Lab Data
Tibbitts et al. presented several experiments investigating the effect of bit hydraulics on ROP using a full-scale simulator. 11
The experiments were run with a Smith F-3, 7-7/8 in.-diameter bit using samples from Mancos shale.
Four shale samples were drilled with the same bit and with nozzles of different sizes for each sample. Downhole conditions
simulated were: (1) 4,400 psi overburden stress, (2) 2,970 psi confining strength, (3) 2,000 psi borehole pressure, and (4) no
formation pressure. After a jacketed shale sample was placed in the wellbore simulator, the confining pressure, overburden
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This note was uploaded on 01/31/2014 for the course MOGE 9114 taught by Professor Thomod during the Spring '13 term at Memorial University.
- Spring '13