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Guo, Boyun / Petroleum Production Engineering, A Computer-Assisted Approach 0750682701_chap04 Final Proof page 57 22.12.2006 6:07pm

WELLBORE PERFORMANCE 4/57
Table 4.5. Spreadsheet Cullender-Smith.xls: the Input guo, b. and ghalambor, a. Natural Gas Enginee-
Data and Result Sections ring Handbook. Houston: Gulf Publishing Company,
Cullender-SmithBHP.xls 2005, pp. 59–61.
Description: This spreadsheet calculates bottom-hole pres- hagedorn, a.r. and brown, k.e. Experimental study of
sure with the Cullender–Smith method. pressure gradients occurring during continuous two-
Instructions: phase flow in small-diameter conduits. J. Petroleum
Step 1: Input your data in the Input data section. Technol. 1965;475.
Step 2: Click Solution button to get results.
hasan, a.r. and kabir, c.s. Fluid Flow and Heat Transfer
in Wellbores. Richardson, TX: Society of Petroleum
Input data
Engineers, 2002, pp. 10–15.
¼0.71
g g katz, d.l., cornell, d., kobayashi, r., poettmann, f.h.,
d ¼2.259 in. vary, j.a., elenbaas, j.r., and weinaug, c.f. Handbook
«=d ¼0.0006 of Natural Gas Engineering. New York: McGraw-Hill
L ¼10,000 ft Publishing Company, 1959.
u ¼0 degrees katz, d.l. and lee, r.l. Natural Gas Engineering—Produc-
p hf ¼800 psia tion and Storage. New York: McGraw-Hill Publishing
T hf ¼150 8F
T wf ¼200 8F Company, 1990.
q msc ¼2 MMscf/d lockhart, r.w. and martinelli, r.c. Proposed cor-
Solution relation of data for isothermal two-phase, two-
component flow in pipes. Chem. Eng. Prog. 1949;39.
f M ¼0.017397 poettmann, f.h. and carpenter, p.g. The multiphase flow
Depth (ft) T (8R) p (psia) Z p/ZT I
of gas, oil, and water through vertical strings. API Dril.
0 610 800 0.9028 1.45263 501.137
5,000 635 937 0.9032 1.63324 472.581 Prod. Prac. 1952:257–263.
10,000 660 1,082 0.9057 1.80971 445.349
Problems
flowing pressures along the tubing string. The FG data are 4.1 Suppose that 1,000 bbl/day of 16 8API, 5-cp oil is
7
then employed to validate one of the models and tune the being produced through 2 ⁄ 8 -in., 8:6-lb m =ft tubing in
model if necessary before the model is used on a large a well that is 3 degrees from vertical. If the tubing
scale. wall relative roughness is 0.001, assuming no free gas
in tubing string, calculate the pressure drop over
1,000 ft of tubing.
4.2 For the following given data, calculate bottom-hole
References
pressure using the Poettmann–Carpenter method:
ansari, a.m., sylvester, n.d., sarica, c., shoham, o.,
Tubing head pressure: 300 psia
and brill, j.p. A comprehensive mechanistic model Tubing head temperature: 100 8F
forupwardtwo-phaseflowinwellbores.SPEProduction Tubing inner diameter: 1.66 in.
and Facilities (May 1994) 143, Trans. AIME 1994; Tubing shoe depth (near bottom hole): 8,000 ft
May:297. Bottom-hole temperature: 170 8F
brown, k.e. The Technology of Artificial Lift Methods, Liquid production rate: 2,000 stb/day
Vol. 1. Tulsa, OK: PennWell Books, 1977, pp. 104– Water cut: 30%
158. Producing GLR: 800 scf/stb
chen, n.h. An explicit equation for friction factor in pipe. Oil gravity: 40 8API
Ind. Eng. Chem. Fund. 1979;18:296. Water-specific gravity: 1.05 1 for freshwater
cicchitti, a. Two-phase cooling experiments—pressure Gas-specific gravity: 0.70 1 for air
drop, heat transfer and burnout measurements. Ener- 4.3 For the data given below, estimate bottom-hole pres-
gia Nucleare 1960;7(6):407. sure with the Guo–Ghalambor method.
dukler, a.e., wicks, m., and cleveland, r.g. Frictional
pressure drop in two-phase flow: a comparison of
existing correlations for pressure loss and hold-up.
AIChE J. 1964:38–42. Total measured depth: 8,000 ft
duns, h. and ros, n.c.j. Vertical flow of gas and liquid The average inclination angle: 5 degrees
mixtures in wells. Proceedings of the 6th World Petrol- Tubing inner diameter: 1.995 in.
0.5 MMscfd
Gas production rate:
eum Congress, Tokyo, 1963. Gas specific gravity: 0.75 air ¼ 1
goier, g.w. and aziz, k. The Flow of Complex Mixtures in Oil production rate: 2,000 stb/d
Pipes. Huntington, NY: Robert E. Drieger Publishing Oil-specific gravity: 0.85 H 2 O ¼ 1
Co., 1977. Water production rate: 500 bbl/d
gregory, g.a. and fogarasi, m. Alternate to standard friction Water-specific gravity: 1.05 H 2 O ¼ 1
3
factor equation. Oil Gas J. 1985;April 1:120–127. Solid production rate: 4 ft =d
griffith, p. and wallis, g.b. Two-phase slug flow. Trans. Solid-specific gravity: 2.65 H 2 O ¼ 1
Tubing head temperature: 100 8F
ASME 1961;83(Ser. C):307–320.
Bottom-hole temperature: 170 8F
guo, b. and ghalambor, a. Gas Volume Requirements
Tubing head pressure: 500 psia
for Underbalanced Drilling Deviated Holes. Tulsa,
OK: PennWell Corporation, 2002, pp. 132–133. (continued)