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.

Copyright © 2018 by ASME
Your Session has timed out. Please sign back in to continue.


Boukadi, F. , Yaghi, B. , Al-Hadrami, H. , Bemani, A. , Babadagli, T. , and De Mestre, P. , 2004, “ A Comparative Study of Lost Circulation Materials,” Energy Sources, 26(11), pp. 1043–1051. [CrossRef]
Pilehvari, A. A. , and Serth, R. W. , 2005, “ Generalized Hydraulic Calculation Method Using Rational Polynomial Model,” ASME J. Energy Resour. Technol., 127(1), pp. 15–25. [CrossRef]
Nie, X. , Luo, P. , Wang, P. , Zhang, X. , and Yang, L. , 2010, “ Rheology of a New Gel Used for Severe Lost Circulation Control,” International Oil and Gas Conference and Exhibition in China, Beijing, China, June 8–10, SPE Paper No. SPE-132136-MS.
Najmi, K. , McLaury, B. S. , Shirazi, S. A. , and Cremaschi, S. , 2016, “ The Effect of Viscosity on Low Concentration Particle Transport in Single-Phase (Liquid) Horizontal Pipes,” ASME J. Energy Resour. Technol., 138(3), p. 032902. [CrossRef]
Kutlu, B. , Takach, N. , Ozbayoglu, E. M. , Miska, S. Z. , Yu, M. , and Mata, C. , 2017, “ Drilling Fluid Density and Hydraulic Drag Reduction With Glass Bubble Additives,” ASME J. Energy Resour. Technol., 139(4), p. 042904. [CrossRef]
Krieger, I. M. , 1968, “ Shear Rate in the Couette Viscometer,” Trans. Soc. Rheol., 12(1), pp. 5–11. [CrossRef]
Jin, L. , and Chenevert, M. , 1994, “ A Study of Particle Settling in Non-Newtonian Fluids—Part II: Rheological Characterization of Polymer Solutions,” ASME J. Energy Resour. Technol., 116(1), pp. 16–21. [CrossRef]
Pilehvari, A. , and Clark, P. , 1985, “ Rheology of Hydraulic Fracturing Fluids: Wall Slip During Viscosity Measurement,” J. Pet. Technol., 37(10), pp. 1840–1846. [CrossRef]
Barnes, H. A. , 1995, “ A Review of the Slip (Wall Depletion) of Polymer Solutions, Emulsions and Particle Suspensions in Viscometers: Its Cause, Character, and Cure,” J. Non-Newtonian Fluid Mech., 56(3), pp. 221–251. [CrossRef]
Brunn, P. , Müller, M. , and Bschorer, S. , 1996, “ Slip of Complex Fluids in Viscometry,” Rheol. Acta, 35(3), pp. 242–251. [CrossRef]
Mooney, M. , 1931, “ Explicit Formulas for Slip and Fluidity,” J. Rheol. (1929–1932), 2(2), pp. 210–222. [CrossRef]
Yoshimura, A. , and Prud'homme, R. K. , 1988, “ Wall Slip Corrections for Couette and Parallel Disk Viscometers,” J. Rheol., 32(1), pp. 53–67. [CrossRef]
Yoshimura, A. S. , and Prud'homme, R. K. , 1988, “ Viscosity Measurements in the Presence of Wall Slip in Capillary, Couette, and Parallel-Disk Geometries,” SPE Reservoir Eng., 3(2), pp. 735–742. [CrossRef]
Kiljański, T. , 1989, “ A Method for Correction of the Wall-Slip Effect in a Couette Rheometer,” Rheol. Acta, 28(1), pp. 61–64. [CrossRef]
Yeow, Y. L. , Choon, B. , Karniawan, L. , and Santoso, L. , 2004, “ Obtaining the Shear Rate Function and the Slip Velocity Function From Couette Viscometry Data,” J. Non-Newtonian Fluid Mech., 124(1), pp. 43–49. [CrossRef]
Andreas, K. , 1996, “ An Introduction to the Mathematical Theory of Inverse Problems,” Applied Mathematical Sciences, Springer, New York, p. 120.
Yeow, Y. L. , Ko, W. C. , and Tang, P. P. , 2000, “ Solving the Inverse Problem of Couette Viscometry by Tikhonov Regularization,” J. Rheol., 44(6), pp. 1335–1351. [CrossRef]
Leong, Y. , and Yeow, Y. , 2003, “ Obtaining the Shear Stress Shear Rate Relationship and Yield Stress of Liquid Foods From Couette Viscometry Data,” Rheol. Acta, 42(4), pp. 365–371. [CrossRef]
De Hoog, F. , and Anderssen, R. , 2006, “ Regularization of First Kind Integral Equations With Application to Couette Viscometry,” J. Integr. Equations Appl., 18(2), pp. 249–265. [CrossRef]
Weese, J. , 1993, “ A Regularization Method for Nonlinear Ill-Posed Problems,” Comput. Phys. Commun., 77(3), pp. 429–440. [CrossRef]
Mourniac, P. , Agassant, J. , and Vergnes, B. , 1992, “ Determination of the Wall Slip Velocity in the Flow of a SBR Compound,” Rheol. Acta, 31(6), pp. 565–574. [CrossRef]
Wein, O. , and Tovchigrechko, V. , 1992, “ Rotational Viscometry Under Presence of Apparent Wall Slip,” J. Rheol., 36(5), pp. 821–844. [CrossRef]


Grahic Jump Location
Fig. 1

Work-flow chart of numerical procedures

Grahic Jump Location
Fig. 2

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

Grahic Jump Location
Fig. 3

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

Grahic Jump Location
Fig. 4

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

Grahic Jump Location
Fig. 5

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

Grahic Jump Location
Fig. 6

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

Grahic Jump Location
Fig. 7

Plots of wall slip velocity versus wall shear stress

Grahic Jump Location
Fig. 8

Relationship between slip-corrected viscosity and shear rate



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In