In the present paper, we analyze numerically the disproportionate permeability reduction (DPR) water-shutoff (WSO) treatments in oil production well, i.e., the ability to reduce relative permeability (RP) to water more than to oil. The technique consists of bullhead injection of polymer solutions (gelant) into the near-wellbore formation without zone isolation. By assuming the low dissolution of polymer in oil and the low mobility of the gel in porous medium, we reduced the compositional model of the process to a simple two-phase model, with RP and capillary pressure (PC) dependent on the water and gel saturation. We proposed the extension of the LET correlations used to calculate RP and PC for the case of three phases (oil–water–gel). The problem is divided into two stages: the polymer injection and the post-treatment production. Both of these processes are described by the same formal mathematical model, which results from incompressible two-phase flow equations formulated in terms of normalized saturation and global pressure. The thermal effects caused by the injection of a relatively cold aqueous solution are taken into account. The numerical solution shows favorable results for the DPR WSO treatments. Other techniques, such as the creation of impermeable barrier and downhole water sink (DWS) technology, are also tested in order to check the validity of the developed numerical model with experimental data.

References

References
1.
Wu
,
J.
,
Liu
,
Y.
, and
Yang
,
H.
,
2012
, “
New Method of Productivity Equation for Multibranch Horizontal Well in Three-Dimensional Anisotropic Oil Reservoirs
,”
ASME J. Energy Resour. Technol.
,
134
(
3
), p.
032801
.10.1115/1.4006573
2.
Driscoll
,
V. J.
,
1972
, “
Multiple Producing Intervals to Suppress Coning
,” U.S. Patent No. 3,638,731.
3.
Widmyer
,
R. H.
,
1955
, “
Producing Petroleum From Underground Formations
,” U.S. Patent No. 2,855,047.
4.
Pirson
,
S. J.
, and
Mehta
,
M. M.
,
1967
, “
A Study of Remedial Measures for Water-Coning by Means of a Two-Dimensional Simulator
,”
42nd Annual Fall Meeting of the Society of Petroleum Engineers of
AIME
,
New Orleans, LA
,
Oct. 1–4
, Paper No. 1808-MS.10.2118/1808-MS
5.
Panfilov
,
M.
, and
Buè
,
M.
,
2002
, “
Asymptotic Model of the Mobile Interface Between Two Liquids in a Thin Porous Stratum
,”
J. Fluid Mech.
,
473
, pp.
59
81
.10.1017/S0022112002002355
6.
Wojtanowicz
,
A. K.
,
Xu
,
H.
, and
Bassiouni
,
Z.
,
1991
, “
Oilwell Coning Control Using Dual Completion With Tailpipe Water Sink
,”
SPE
Production Operation Symposium
,
Oklahoma City, OK
,
Apr. 7–9
, Paper No. 21654-MS.10.2118/21654-MS
7.
Shirman
,
E.
, and
Wojtanowicz
,
A. K.
,
2009
, “
Vertical Interference Test in Wells With Downhole Water Sink Completions
,”
ASME J. Energy Resour. Technol.
,
131
(
3
), p.
033103
.10.1115/1.3194772
8.
Wang
,
J. Y.
,
2012
, “
Well Completion for Effective Deliquification of Natural Gas Wells
,”
ASME J. Energy Resour. Technol.
,
134
(
1
), p.
013102
.10.1115/1.4005284
9.
Bocharov
,
O. B.
, and
Telegin
,
I. G.
,
2005
, “
Numerical Modeling of Thermo-Capillary Countercurrent Impregnation
,”
Thermophys. Aeromech.
,
12
(
3
), pp.
433
444
.
10.
Zhumagulov
,
B. T.
, and
Monakhov
,
V. N.
,
2003
,
The Fluid Dynamics of Oil Production
, Interservice, Milan (
in English, AgipK CO., ed.
).
11.
Zhou
,
D.
, and
Wojtanowicz
,
A. K.
,
2011
, “
Annular Pressure Reduction During Primary Cementing
,”
ASME J. Energy Resour. Technol.
,
133
(
3
), p.
031003
.10.1115/1.4004809
12.
Lomeland
,
F.
,
Ebeltoft
,
E.
, and
Hammervold
,
T. W.
,
2005
, “
A New Versatile Relative Permeability Correlation
,”
Reviewed Proceedings of the 2005 International Symposium of the SCA
,
Abu Dhabi, United Arab Emirates
,
Oct. 31–Nov. 2
, SCA, p.
32
.
13.
Zaitoun
,
A.
,
Bertin
,
H.
, and
Lasseux
,
D.
,
1998
, “
Two-Phase Flow Property Modifications by Polymer Adsorption
,”
SPE
/DOE IOR Symposium
,
Tulsa, OK
,
Apr. 19–22
, Paper No. 39631-MS.10.2118/39631-MS
14.
Zaitoun
,
A.
,
Kohler
,
N.
,
Bossie-Codreanu
,
D.
, and
Denys
,
K.
,
1999
, “
Water Shutoff by Relative Permeability Modifiers: Lessons From Several Field Applications
,”
SPE
Annual Technical Conference and Exhibition, Houston
,
TX
,
Oct. 3–6
, Paper No. 56740-MS.10.2118/56740-MS
15.
Ekweribe
,
C.
, and
Civan
,
F.
,
2011
, “
Transient Wax Gel Formation Model for Shut-In Subsea Pipelines
,”
ASME J. Energy Resour. Technol.
,
133
(
3
), p.
033001
.10.1115/1.4004965
16.
Shirman
,
E. I.
, and
Wojtanowicz
,
A. K.
,
2000
, “
More Oil Using Downhole Water-Sink Technology: A Feasibility Study
,”
SPE Prod. Facil.
,
15
(
4
), pp.
234
240
.10.2118/66532-PA
17.
Bekbauov
,
B. E.
,
Kaltayev
,
A.
, and
Nagy
,
S.
,
2010
, “
Three-Dimensional Thermal Petroleum Filtration Study of Water Coning
,”
Arch. Min. Sci.
,
55
(
1
), pp.
201
215
.
18.
Bekbauov
,
B. E.
, and
Kaltayev
,
A.
,
2009
, “
Three-Dimensional Thermal Filtration Study of Water Coning Control
,”
Vestnik of KazNU (Seria Mathematics, Mechanics, Informatics
),
3
(
62
), pp.
90
97
.
19.
Siddiqi
,
S. S.
, and
Wojtanowicz
,
A. K.
,
2002
, “
A Study of Water Coning Control in Oil Wells by Injected or Natural Flow Barriers Using Scaled Physical Model and Numerical Simulator
,”
SPE
Annual Technical Conference and Exhibition, San Antonio, TX, Sept. 2-Oct. 2, Paper No. 77415-MS.10.2118/77415-MS
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