D.C. DC - up.oil-yasuj.irup.oil-yasuj.ir/up/oil-yasuj/maghale/pishbini_Arps Fetkovich. 5 Fetkovich...
Transcript of D.C. DC - up.oil-yasuj.irup.oil-yasuj.ir/up/oil-yasuj/maghale/pishbini_Arps Fetkovich. 5 Fetkovich...
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(Decline Curve Analysis)
KEYWORD: Decline Curve Analysis, Exponential Decline, Hyperbolic Decline,
Harmonic Decline, History Matching, Decline Rate, Nominal Decline Rate, Cumulative
Production, Flow Rate
(Decline Curve Analysis, DC)
D.C.
DC
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(Exponential Decline)
(WOR)
(WOR+1)
D.C.
WORWGR
DC
D.C
DC
DCTubingChoke Setting
Workovers
Artificial liftAcidizing
Work overWork over
Work over
DC
DC
1 BCF
Well head0.7BCF0.9
BCF
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Exponential,HyperbolicHarmonic
DC
D
D
D
(Hyperbolic)
Time
F
low
Rat
e
Slope
D=Slope/ Rate
Flo
w R
ate
Time
Harmonic
Exponential
Hyperbolic
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Arps
HyperbolicExponentiacl
Arps
Arps
Arps(b)(Di)
Arps
HyperbolicExponentialSemi-logArp
Harmonic
Arps
(Hyperbolic)
SliderHyperbolic(Curve-
Maching)Semi-log
SliderCurve-Fitting
Arps
Gently
ArpsGently
Arps
FetkovichArps
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Fetkovich
Arps
GentlyFetkovich
Gently
Carter
(µCg)
Cg
FraimWattenbarger
Cg
Aminian
SchmidtCaudle
MillerAminian
(Non-Darcy)Schmidt
(Turbulent)
Schmidt
(Exponential Decline)
(D)(Exponential)
D
D
D.C
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D
Exponential
HyperbolicHarmonic
Decline CurveD
t1t2
Exponentialq2t2q1t1
q2
Cumulative Production
Flo
w R
ate
Slope
D= Slope=Const.
D
Time
LO
G. F
low
R
ate
Slope
Rate
D=Slope×2.302
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Ddd
dD
D d
DdD
d
dD
(Exponential)(Nominal)
DD
(DRt)D
(DRc)
(qEc)
Workover
Time
Flo
w R
ate
Slope
Rate
D=Slope/ Rate
Time
Rate
d=Slope/ Rate
Flo
w R
ate
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Workover
Workover
Skin
AB
Hyperbolic
Hyperbolic
0<b<1hyperbolic(D)
Diqi
Dbb
b=0b=1harmonic
Cumulative Production
A B
Workover
Economic Limit
Flo
w R
ate
M
Economic Limit
Cumulative Production
Workover
B A M2 M1
Flo
w R
ate
Workover
Workover
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hyperbolicqiDi
t=0bDiqi
t
hyperbolic
Robertson
hyperbolicExponential
hyperbolic
(Harmonic)
(harmonic)hyperbolicb=1D
qqD
(Gravity Drainage)
Water Cut
harmonic
Time
Log
. Flo
w R
ate
Slope
Rate
D=Not Constant
Time
L
og. F
low
Rat
e
Exponential Decline
Hyperbolic Decline
hyperbolic
Exponential
Hyperbolic
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D
harmonicD
kqi
Diharmonic
hyperbolicb=1
t1t2q1q2
harmonic
GORWORWGR
Diqi
GORo
g
WORo
wq
q
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GORWOR
GORWOR
CGR
(CGR)
CGR
(lifting)WOR
LGRlifting
LGR
(Operated-Day Rate)
(Calendar-day Rate)
Operated-day Rate
Down time
Down timeLoud factor
Loud factor(LF)LF
Calendar-day RateOperated-day Rata
ExponentialHyperbolicHarmonic
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hyperbolic
hyperbolic
Exponential
(Gravity Drainage)
harmonic
GORWORGIR
WGR
Pool
References 1. Manual for the oil and gas industry (Revised August, 1921). Government
printing office, Washington, DC(1921).
2. Arps, J .J .: Ana lysis of decline curves, Trans. AIME (1945) 160,228-247.
3. Slider , H.C.: A simplified method of hyperbolic decline curve ana lysis,
JPT (March 1968) 235-236.
4. Gentry, R.W.: decline curve ana lysis. J PT (J an .1972) 38-41.
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5. Fetkovich, M.J .: Decline curve analysis usin type curves JPT (June 1980)
1065-1077.
6. Car ter R.D.: Type curves for fin it e radial and linear gas flow systems:
Constan t t ermina l pressure case, SPEJ (Oct . 1985) 719-728.
7. Fra im, M.L. and Wat tenbarger , R.A.: Gas reservoir decline curve ana lysis
using type curves with rea l gas pseudo pressure and normalized t ime,
APEFE (Dec. 1987) 671-682; Trans. AIME,290.
8. Amin ian , K., Amer i, S., and Hyman, M.: Product ion decline type curves
for gas well producing under pseudo-steady sta te condit ions, paper SPE
15933 presented at the 1986 SPE eastern regional meeting, Columbus,
OH, Nov. 12-14.
9. Schmidt , S.H., Caudle, B.H., and Miller , M.A.: Gas well decline ana lysis
incorporating real gas behavior and Non-Darcy flow, paper SPE 15521
presented at the 1986 SPE annual technical conference and exhibition,
New Orleans, LA, Oct. 5-8
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