Air Emissions From Fossil Fuel Combustion

Numerical Modeling of the Effects of Disproportionate Permeability Reduction Water-Shutoff Treatments on Water Coning

[+] Author and Article Information
Bakhbergen E. Bekbauov

e-mail: bakhbergen.bekbauov@kaznu.kz

Aidarkhan Kaltayev

e-mail: aidarkhan.kaltayev@kaznu.kz
Al-Farabi Kazakh National University,
Almaty 050040, Kazakhstan

Andrew K. Wojtanowicz

Louisiana State University,
Baton Rouge, LA 70803
e-mail: awojtan@lsu.edu

Mikhail Panfilov

Nancy Université,
Nancy 54504, France
e-mail: mikhail.panfilov@ensem.inpl-nancy.fr

Contributed by the Petroleum Division of ASME for publication in the Journal of Energy Resources Technology. Manuscript received June 15, 2012; final manuscript received October 2, 2012; published online December 12, 2012. Assoc. Editor: Desheng Zhou.

J. Energy Resour. Technol 135(1), 011101 (Dec 12, 2012) (10 pages) Paper No: JERT-12-1134; doi: 10.1115/1.4007913 History: Received June 15, 2012; Revised October 02, 2012

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.

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Fig. 1

Water coning under the producing oil well

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Fig. 3

Oil–water relative permeabilites before and after polymer adsorption in water-wet sandstone: experimental data (the left-hand plot), and analytical approximation (the right-hand plot)

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Fig. 4

Capillary pressure before and after polymer adsorption in water-wet sandstone: experimental data (the left-hand plot), and analytical approximation (the right-hand plot)

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Fig. 5

A single wedge-shaped block of the computational grid

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Fig. 6

The effect of viscosity ratio on gelant penetration and distribution (t = 8 h)

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Fig. 7

Polymer saturation in the reservoir during stage I (a) and water saturation during stage II (b)

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Fig. 8

Water cut for the cases: without gel treatment (the solid curve) and with gel treatment (the dashed curve)

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Fig. 9

Polymer barrier in horizontal plane

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Fig. 10

Water saturation and velocity field for the four scenarios at t = 91 hours

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Fig. 11

Water cut for the four scenarios



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