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STANDARD HANDBOOK OF PETROLEUM & NATURAL GAS ...

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970 Drilling and Well Completions<br />

Equations<br />

1. Hydrostatic pressure is<br />

P, = 0.052 y* z<br />

(4-205)<br />

where P, = hydrostatic pressure in psi<br />

y = mud specific weight in lb/gal<br />

z = depth in ft<br />

2. Turbulent flow pressure loss in pipe (Equation 4-187) is<br />

where AP = pressure loss in psi<br />

AL = pipe length in ft<br />

y = fluid specific weight in Ib/gal<br />

v = average fluid velocity in ft/s<br />

m = fluid viscosity in cp<br />

d = pipe ID in in.<br />

with<br />

v = w(2.448 x d2)<br />

where Q = flowrate in gal/min<br />

d = pipe ID in in.<br />

3. Turbulent flow pressure loss in annulus (Equation 4-188) is<br />

where (notations same as above) d, = borehole or casing diameter in in.<br />

d, = pipe OD in in.<br />

4. Flowrate through a choke, or nozzle, or leak (Equation 4-186) is<br />

Solution<br />

where Q = flowrate in ft3/s<br />

C = coefficient (0.95 to 1.0)<br />

g, = acceleration of gravity (32.17 ft/s2)<br />

AP = pressure loss in psi<br />

y = fluid specific weight in Ib/ftJ<br />

A = area in ft2<br />

1. AP drillpipes: 1,590 psi<br />

AP bit nozzles: 718 psi<br />

AP annulus: 74 psi

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