Advertisement

Flow mechanism of polymer solution in porous media and in situ test data analysis

  • Liu Yue-wu  (刘曰武)Email author
Article
  • 38 Downloads

Abstract

A mathematical model of the polymer solution flow in porous media is established with the different concentration distribution. The polymer solution is treated as the power law non-Newtonian fluid with its power law index depended on the concentration of the solution. The finite element method is used to solve the problem by considering the effects of the concentration distributions and the different boundary conditions on the process of pressure conduction. The wellbore pressure and pressure distribution have been determined. For the different case, the type curve of pressure and its derivate have been analyzed. Some in situ test data are analyzed to verify the new model by using the type curve matching method. The results show that the concentration distribution of the polymer solution in the porous media is clearly reflected by the power law indexes changed along the distance. The characteristic parameters of the porous media and the polymer solution distribution can be determined by analyzing the in situ test data. The new model has been extended to more complicated boundary cases.

Key words

polymer solution numerical simulation transient flow test data power law index 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    XAVIER L, VALVATNE P H, MARTIN J B. Predictive network modeling of single-phase non-Newtonian flow in porous media[J]. Journal of Colloid and Interface Science, 2003, 264(1): 256–265.CrossRefGoogle Scholar
  2. [2]
    PEARSON J R A, TARDY P M J. Models for flow of non-Newtonian and complex fluids through porous media[J]. Journal of Non-Newtonian Fluid Mechanics, 2002, 102(2): 447–473.CrossRefGoogle Scholar
  3. [3]
    SANTOYO E, SANTOYO-GUTIÉRREZ S, GARCÍA A, et al. Rheological property measurement of drilling fluids used in geothermal wells[J]. Applied Thermal Engineering, 2001, 21(3): 283–302.CrossRefGoogle Scholar
  4. [4]
    WHITE D A. Non-newtonian flow in porous media[J]. Chemical Engineering Science, 1967, 22(4): 669–672.CrossRefGoogle Scholar
  5. [5]
    IKOKU C U, RAMEY H J. Transient flow of non-Newtonian power law fluids in porous media[J]. J Soc Pet Eng, 1979, 44(3): 164–174.CrossRefGoogle Scholar
  6. [6]
    PASCAL H. Similarity solutions to some unsteady flows of non-Newtonian fluids of power law behavior[J]. International Journal of Non-Linear Mechanics, 1992, 27(5): 759–771.MathSciNetCrossRefGoogle Scholar
  7. [7]
    LIU Yue-wu, CHEN Hui-xin, GONG Xin, et al. Numerical solution for polymer transient flows in a circle bounded composite formation[C]//Proceedings of the Fourth International Conference on Fluid Mechanics. Beijing: Tsinghua University Press, 2004; 145–148.Google Scholar
  8. [8]
    WILSON E L. Automation of the finite element method—A personal historical view [J]. Finite Elements in Analysis and Design, 1993,13(2): 91–104.MathSciNetCrossRefGoogle Scholar
  9. [9]
    ZHU J Z. A new approach to the development of automatic quadrilateral mesh generation [J]. International Journal for Numerical Methods in Engineering, 1991, 32(8): 849–866.CrossRefGoogle Scholar

Copyright information

© Central South University Press, Sole distributor outside Mainland China: Springer 2007

Authors and Affiliations

  1. 1.Division of Engineering Science, Institute of MechanicsChinese Academy of SciencesBeijingChina

Personalised recommendations