100
1000
0.1 1 10 100 1000
(Pi
-
Pwf),psi
flowing time ,hrs
DDT,log-log data plot
WBS
By Eng. MAbbas
From log-log plot data:
Time at the beginning of transient period=12 hrs
Time at the end of transient period=150 hrs
From semi-log plot data:
P
1hr=3652psi
The slop of the middle time m =-70 psi/cycle
1-Formation permeability =
2-Skin Factor
By Eng. MAbbas
3-Pressure drop due to skin factor:
4-
Damage ratio is estimated as
2.3
= 1-
386.9
891
=0.43=43%
By Eng.MAbbas
3
5)
By Eng. MAbbas
=5.456(−70
−0.222
)+????????????2.303(3652−3530)
−70
EXP
=31.08
From Table 2.1 CA=31.08 corresponds to a well in the center of circle ,square or hexagon
The Drainage area can be calculated as the following
=(3,315,367∗(5.615
43460(0.39)(69)
)
=15.9 acres
A
6)
By Eng. MAbbas
Wellbore Storage-Unloading
Bottomhole
Rate
Surface Rate
Rate
Time
0
By Eng. MAbbas
Wellbore Storage DefinitionwbwbcVC
Fluid
Expansionwb
wb
c
wb
wb
A
.
g
g
.
A
C
6525
6155
144
Changing
liquid level
By Eng. MAbbas
Example-2(Wellbore Storage)
The following data is given for an oil well that is scheduled for a drawdown
test:
•volume of fluid in the wellbore = 180 bbl
•tubing outside diameter = 2 inches
•Wellbore diameter = 7.675 inches
•average oil density in the wellbore = 45 lb/ft3
•h = 50 ft, φ= 15 %, rw= 0. 25 ft, μo = 2 cpk = 30 md, s = 0 ,ct= 20 ×10−6
psi−1, co = 10 ×10−6 psi−1
If this well is placed under a constant production rate,
Calculate:
•the wellbore storage coefficient C.
•How long will it take for wellbore storage effects to end?
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Solution:
1-Calculate the wellbore storage factor caused by fluid expansion:
2-Calculate the wellbore storage factor caused by falling fluid level:
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3-Calculate the total wellbore storage coefficient:
4-Time required for wellbore storage influence to end:
Solution:
By Eng. MAbbas