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Research Papers: Petroleum Engineering

Determination of Viscosity and Wall Slip Behavior of a Polymer-Gel Used for Leakage Control From Couette Viscometry Data

[+] Author and Article Information
Gui Wang

State Key Laboratory of Oil and Gas
Reservoir Geology and Exploitation,
Southwest Petroleum University,
Chengdu 610500, Sichuan, China
e-mail: wanggui@126.com

Hui Du

State Key Laboratory of Oil and Gas
Reservoir Geology and Exploitation,
Southwest Petroleum University,
Chengdu 610500, Sichuan, China
e-mail: DUHUI_SWPU@163.com

Boyun Guo

Department of Petroleum Engineering,
University of Louisiana at Lafayette,
Lafayette, LA 70504
e-mail: guo.boyun@gmail.com

Contributed by the Petroleum Division of ASME for publication in the JOURNAL OF ENERGY RESOURCES TECHNOLOGY. Manuscript received July 17, 2017; final manuscript received October 24, 2017; published online November 30, 2017. Assoc. Editor: Reza Sheikhi.

J. Energy Resour. Technol 140(3), 032910 (Nov 30, 2017) (6 pages) Paper No: JERT-17-1369; doi: 10.1115/1.4038384 History: Received July 17, 2017; Revised October 24, 2017

Polymer-gel, as a rheological complex fluid, is vulnerable to slip at solid walls. If wall slip occurs, the accuracy of viscosity measurements that are based on the no-slip boundary condition assumption is affected. This paper presents a general numerical procedure based on Tikhonov regularization for correcting Couette viscometry data in the presence of wall slip. This procedure needs only two-measurement viscosity data from two different annular gap sizes. Using the presented procedure, we determined the viscosity and wall slip behavior of a special polymer-gel used for leakage control. The results show that, the polymer-gel ZND-2 does not always exhibit significant wall slip, until the polymer content reaches a critical level of 0.3–0.5% by mass. An empirical correlation was proposed in power law form to describe the relationship between wall slip velocity and wall shear stress. It indicates that there is a minimum wall shear stress that needs to be overcome for a given polymer-gel sample manifesting wall slip phenomenon. The critical minimum wall shear stress and the gel structure strength increase drastically when the polymer content increases beyond a certain value, which is 1.0% by mass for ZND-2. When wall slip occurs, the difference is remarkable between the slip-corrected and apparent rheological parameters for different annular gap sizes. The slip-corrected rheological properties indicate that the polymer-gel ZND-2 used for leakage control behaves as a yield plastic fluid and has good shear thinning capability.

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References

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Figures

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Fig. 1

Work-flow chart of numerical procedures

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Fig. 2

Rheology curves for polymer-gel at content of 0.3% by mass

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Fig. 3

Rheology curves for polymer-gel at content of 0.5% by mass

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Fig. 4

Rheology curves for polymer-gel at content of 0.7% by mass

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Fig. 5

Rheology curves for polymer-gel at content of 1.0% by mass

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Fig. 6

Rheology curves for polymer-gel at content of 1.2% by mass

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Fig. 8

Relationship between slip-corrected viscosity and shear rate

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Fig. 7

Plots of wall slip velocity versus wall shear stress

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