Page 91 - Petroleum Production Engineering, A Computer-Assisted Approach

Guo, Boyun / Computer Assited Petroleum Production Engg 0750682701_chap06 Final Proof page 83 3.1.2007 8:40pm Compositor Name: SJoearun

WELL DELIVERABILITY 6/83
Table 6.9 Solution Given by MultilateralGasWellDeliverability(Radial-FlowIPR).xls
Horizontal sections
Lateral no.: 1 2 3 4
Length of horizontal section (L) 500 600 700 400 ft
Bottom-hole pressure (p wf ) 2,701 2,686 2,645 2,625 psia
Horizontal permeability (k) 1 2 3 4 md
Net pay thickness (h) 20 20 20 20 ft
Reservoir pressure (p-bar) 3,700 3,500 1,800 2,800 psia
Radius of drainage (r eh ) 2,000 2,500 1,700 2,100 ft
Gas viscosity (m g ) 0.02 0.02 0.02 0.02 cp
Wellbore diameter (D i ) 8.00 8.00 8.00 8.00 in.
Bottom-hole temperature (T) 270 260 250 230 8F
Gas compressibility factor (z) 0.85 0.90 0.95 0.98
Gas-specific gravity (g g ) 0.85 0.83 0.80 0.75 air ¼ 1
Curvic sections
Lateral no.: 1 2 3 4
Radius of curve (R) 250 300 200 270 ft
Average inclination angle (u) 45 45 45 45 degrees
Tubing diameter (d i ) 3 3 3 3 in.
Pipe roughness (e) 0.0018 0.0018 0.0018 0.0018 in.
Vertical sections
Lateral no.: 1 2 3 4
Interval length () 250 300 200 8,000 ft
Tubing diameter (d i ) 3 3 3 3 in.
Pipe roughness (e) 0.0018 0.0018 0.0018 0.0018 in.
Kick-off points 1 2 3 4
Flow rate (q) 3,579 8,870 2,564 4,280 Mscf/d
Pressure (p) 2,682 2,665 2,631 2,609 psia
Temperature (T) 265 250 240 230 8F
Total
Production rate (q) ¼ 3,579 5,290 (6,305) 1,716 4,280 Mscf/d

ð
Based on the Poettmann–Carpenter method, the pres- M F ¼ 350:17 g o þ WOR g w Þ þ 0:0765GOR g g , (6:54)
may be estimated by the follow equation:
zð
ð
sure gradient r h i ¼ 5:615 B o þ WOR B w Þ þ z GOR R s Þ
V m i

2 29:4
k
r r þ k i T i , (6:55)
i
¼ , (6:52)
r h i 520
r
r
144 i p xf i þ p hf i
! 2
where P i
f 2F q o i M F
M F j¼1
r r i ¼ , (6:53) k k i ¼ : (6:56)
10 5
7:4137 10 d
V m i
i
Horizontal sections
Lateral no.: 1 2 3 4
Reservoir pressure (p-bar) 3,700 3,500 3,300 2,800 psia
Oil formation factor (B o ) 1.20 1.15 1.10 1.1 stb/rb
Water formation factor (B w ) 1.00 1.00 1.00 1.00 stb/rb
Bottom-hole temperature (T) 270 260 250 230 8F
Gas compressibility factor (z) 0.85 0.90 0.95 0.98
Gas-specific gravity (g g ) 0.85 0.83 0.80 0.75 air ¼ 1
Oil-specific gravity (g o ) 0.80 0.78 0.87 0.85 water ¼ 1
Water-specific gravity (g w ) 1.07 1.06 1.05 1.04 water ¼ 1
Water–oil ratio (WOR) 0.10 0.40 0.20 0.30 stb/stb
Gas–oil ratio (GOR) 1000 1,500 2,000 2,500 scf/stb
Solution–gas–oil ratio (R s ) 800 1,200 1,500 2,000 scf/stb
Productivity index (J) 1 0.8 0.7 0.6 stb/d/psi
Curvic sections
Lateral no.: 1 2 3 4
Radius of curve (R) 200 200 200 200 ft
Average inclination angle (u) 45 45 45 45 degrees
Tubing diameter (d i ) 5 5 5 5 in.
Pipe roughness (e) 0.0018 0.0018 0.0018 0.0018 in.
Vertical sections
Lateral no.: 1 2 3 4
Interval length (H) 500 400 300 3,000 ft
Tubing diameter (d i ) 5 5 5 5 in.
Pipe roughness (e) 0.0018 0.0018 0.0018 0.0018 in.