Rate decline analysis is a significant method for predicting well performance. Previous studies on rate decline analysis of fractured wells are all based on homogeneous reservoirs rather than homogeneous ones considering fracture face damage. In this article, a well model intercepted by a finite conductivity vertical fracture with fracture face damage is established to investigate how face damage factor affects the productivity of fractured well. Calculative results show that in transient flow, dimensionless rate decreases with the increase of fracture face damage and in pseudo steady-state flow, all curves under different face damage factors coincide with each other. Then, a new pseudo steady-state analytic formula and its validation are presented. Finally, new Blasingame type curves are established. It is shown that the existence of fracture damage would decrease the rate when time is relatively small, so fracture damage is an essential factor that we should consider for type curves analysis. Compared with traditional type curves, new type curves could solve the problem of both variable rate and variable pressure drop for fractured wells with fracture face damage factor. A gas reservoir example is performed to demonstrate the methodology of new type curves analysis and its validation for calculating important formation parameters.

References

References
1.
Mcguire
,
W. J.
, and
Sikora
,
V. J.
, 1960, “
The Effect of Vertical Fractures on Well Productivity
,”
SPE Paper No. 1618-G
.
2.
Prats
,
M.
, 1961, “
Effect of Vertical Fracture on Reservoir Behavior-Compressible Fluid Case
,”
36th Annual Fall Meeting of SPE
, Dallas, Oct. 8-11, Paper No. SPE 98.
3.
Raghavan
,
R.
,
Cady
,
G. V.
, and
Ramey
,
H. J.
, Jr.
, 1972, “
Well-Test Analysis for Vertically Fractured Wells
,”
J. Pet. Technol.
,
24
(
8
), pp.
1014
1020
.
4.
Ramey
,
H. J.
, Jr.
, and
Gringarten
,
A. C.
, 1975, “
Effect of High Volume Vertical Fractures on Geothermal Steam Well Behavior
,”
Proceedings of Second United Nations Symposium on the Use and Development of Geothermal Energy
, San Francisco, May 20-29.
5.
Gringarten
,
A. C.
,
Ramey
,
H. J.
, Jr.
, and
Raghavan
,
R.
, 1975, “
Applied Pressure Analysis for Fractured Wells
,”
J. Pet. Technol.
,
27
(
7
), pp.
887
892
.
6.
Cinco-Ley
,
H.
,
Samaniego
V. F.
,
, and
Dominguez
A. N.
,
, 1978, “
Transient Pressure Behavior for a Well With a Finite-Conductivity Vertical Fracture
,”
SPE J.
,
18
(
4
), pp.
253
264
.
7.
Cinco-Ley
,
H.
, and
Samaniego-V.
,
F.F.
, 1981, “
Transient Pressure Analysis for Fractured Wells
,”
J. Pet. Technol.
,
33
(
9
), pp.
1749
1766
.
8.
Tinsley
,
J. M.
,
Williams
,
J. R.
, Jr.,
Tiner
,
R. L.
, and
Malone
,
W. T.
, 1969, “
Vertical Fracture Height-Its Effect on Steady-State Production Increase
,”
J. Pet. Technol.
, pp. 633–638.
9.
Raghavan
,
R.
,
Uraiet
,
A.
, and
Thomas
,
G. W.
, 1976, “
Vertical Fracture Height: Effect on Transient Flow Behavior
,”
51th Annual Fall Technical Conference and Exhibition of SPE
, New Orleans, Oct. 3-6., Paper No. SPE 6016.
10.
Evans
,
J. G.
, 1971, “
The Use of Pressure Buildup Information to Analyze Non-Respondent Vertically Fractured Oil Wells
,”
SPE-AIME Rocky Mountain Regional Meeting
, Billings, MT, Paper No. SPE 3345.
11.
Cinco-Ley
,
H.
, and
Samaniego
,
V. F.
, 1978, “
Effect of Wellbore Storage and Damage on the Transient Pressure Behavior of Vertically Fractured Wells
,”
52th Annual Fall Technical Conference and Exhibition of the Society of Petroleum Engineers of AIME
, Denver, CO, Paper No. SPE 6752.
12.
Arps
,
J. J.
, 1945, “
Analysis of Decline Curves
,”
Trans. AIME
,
160
(1), pp.
228
247
.
13.
Fetkovich
,
M. J.
, 1973, “
Decline Curve Analysis Using Type Curves
,”
J. Pet. Technol.
, pp. 1065–1077.
14.
Blasingame
,
T. A.
,
Johnston
,
J. L.
, and
Lee
,
W. J.
, 1989, “
Type-Curve Analysis Using the Pressure Integral Method
,”
SPE California Regional Meeting
, Bakersfield, Apr. 5-7, Paper No. SPE 18799.
15.
Blasingame
,
T. A.
,
McCray
,
T. L.
, and
Lee
,
W. J.
, 1991, “
Decline Curve Analysis for Variable Pressure Drop/Variable Flow Rate Systems
,”
SPE Gas Technology Symposium
, Houston, Jan. 22-24, Paper No. SPE 21513.
16.
Agarwal
,
R. G.
,
Gardner
,
D. C.
,
Kleinsteiber
,
S. W.
, and
Fussell
,
D. D.
, 1998, “
Analyzing Well Production Data Using Combined Type Curve and Decline Curve Concepts
,”
SPE Form. Eval.
, SPE Annual Technical Conference and Exhibition, New Orleans, LA, Sept. 27-30,
2
(
5
), pp.
478
486
.
17.
Pratikno
,
H.
,
Rushing
,
J. A.
, and
Blasingame
,
T. A.
, 2003, “
Decline Curve Analysis Using Type Curves-Fractured Wells
,”
SPE Annual Technical Conference and Exhibition
, Denver, Oct. 5-8, Paper No. SPE 84287.
18.
Tian
,
J.
, and
Tong
,
D. K.
, 2006, “
The Flow Analysis of Fluids in Fractal Reservoir With the Fractional Derivative
,”
J. Hydrodynam., Ser. B
,
18
(
3
), pp.
287
293
.
19.
Lei
,
Z. D.
,
Cheng
,
S. Q.
, and
Li
,
X. F.
, 2007, “
A New Method for Prediction of Productivity of Fractured Horizontal Wells Based on Non-Steady Flow
,”
J. Hydrodynam., Ser. B
,
19
(
4
), pp.
494
500
.
20.
Luo
,
W. J.
,
Zhou
,
Y. F.
, and
Wang
,
X. D.
, 2008, “
A Novel 3-D Model for the Water Cresting in Horizontal Wells
,”
J. Hydrodynam., Ser. B
,
20
(
6
), pp.
749
755
.
21.
Jacques
,
H. A.
, 2008, “
Simplified Analytical Method for Estimating the Productivity of a Horizontal Well Producing at Constant Rate or Constant Pressure
,”
J. Pet. Sci. Eng.
,
64
(
1
), pp.
77
87
.
22.
Zhang
,
H. Q.
,
Wang
,
Q.
,
Sarica
,
C.
, and
Brill
,
J. P.
, 2003, “
Unified Model for Gas-Liquid Pipe Flow via Slug Dynamics—Part 1: Model Development
,”
ASME J. Energy Resour. Technol.
,
125
, pp.
266
272
.
23.
Sarica
,
C.
,
Zhang
,
H. Q.
, and
Wilkens
,
R. J.
, 2011, “
Sensitivity of Slug Flow Mechanistic Models on Slug Length
,”
ASME J. Energy Resour. Technol.
,
133
, p.
043001
.
24.
Lu
,
J.
,
Ghedan
,
S.
,
Zhu
,
T.
, and
Tiab
,
D.
, 2011, “
Non-Darcy Binomial Deliverability Equations for Partially Penetrating Vertical Gas Wells and Horizontal Gas Wells
,”
ASME J. Energy Resour. Technol.
,
133
, p.
043101
.
25.
Barrios
,
L.
, and
Prado
,
M. G.
, 2011, “
Modeling Two-Phase Flow Inside an Electrical Submersible Pump Stage
,”
ASME J. Energy Resour. Technol.
,
133
,
p.
042902
.
26.
Tiab
,
D.
,
Lu
,
J.
,
Nguyen
,
H.
, and
Owayed
,
J.
, 2010, “
Evaluation of Fracture Asymmetry of Finite-Conductivity Fractured Wells
,”
ASME J. Energy Resour. Technol.
,
132
, p.
012901
.
27.
Abramowitz
,
M.
, and
Stegun
,
I. A.
, 1972,
Handbook of Mathematical Functions
,
Dover Publications, Inc.
,
New York
.
28.
Wang
,
X. D.
, 2006,
Mechanic Basis of Fluids Flowing in Porous Media
,
Petroleum Industry Publications
,
Beijing
.
29.
Riley
,
M. F.
, 1991, “
Analytical Solutions for Elliptical Finite-Conductivity Fractures
,”
66th Annual Technical Conference and Exhibition of SPE
, Dallas, Oct. 6-9, Paper No. SPE 22656.
You do not currently have access to this content.