Numerical Calculation of the Horizontal Stress Difference of Viscous-Elastic Fluid Acting on the Residual Oil in Micro Pore

Affiliation(s)

Petroleum Engineering Department, Northeast Petroleum University, Daqing, China.

Daqing Petroleum Equipment Group, Daqing, China.

Daqing Oilfield Tianyu Engineering Design Co., Ltd., Daqing, China.

Petroleum Engineering Department, Northeast Petroleum University, Daqing, China.

Daqing Petroleum Equipment Group, Daqing, China.

Daqing Oilfield Tianyu Engineering Design Co., Ltd., Daqing, China.

ABSTRACT

In order to analyze the microscopic theory of viscous-elastic fluid flooding residual oil, the flow equation of polymer solution in the micro pore can be derived by selecting upper-convected Maxwell constitutive equation, continuity equation and motion equation. Then, the flow velocity field and stress field can be calculated under the boundary condition, and with the theory of stress tensor, the horizontal stress difference of polymer solution acting on the residual oil can be calculated. The results show that the greater the elasticity of viscous-elastic fluid is, the wider the flow channel is, the greater the horizontal stress difference is. The force acting on residual oil by viscous-elastic fluid can be increased by increasing the concentration of the polymer solution.

In order to analyze the microscopic theory of viscous-elastic fluid flooding residual oil, the flow equation of polymer solution in the micro pore can be derived by selecting upper-convected Maxwell constitutive equation, continuity equation and motion equation. Then, the flow velocity field and stress field can be calculated under the boundary condition, and with the theory of stress tensor, the horizontal stress difference of polymer solution acting on the residual oil can be calculated. The results show that the greater the elasticity of viscous-elastic fluid is, the wider the flow channel is, the greater the horizontal stress difference is. The force acting on residual oil by viscous-elastic fluid can be increased by increasing the concentration of the polymer solution.

KEYWORDS

Viscous-Elastic Fluid, Upper-Convected Maxwell Constitutive Equation, Horizontal Stress Difference, We

Viscous-Elastic Fluid, Upper-Convected Maxwell Constitutive Equation, Horizontal Stress Difference, We

Cite this paper

Liu, L. , Yang, S. , Wang, L. , Xu, D. , Zhao, L. and Cui, Y. (2014) Numerical Calculation of the Horizontal Stress Difference of Viscous-Elastic Fluid Acting on the Residual Oil in Micro Pore.*Open Journal of Fluid Dynamics*, **4**, 120-124. doi: 10.4236/ojfd.2014.42010.

Liu, L. , Yang, S. , Wang, L. , Xu, D. , Zhao, L. and Cui, Y. (2014) Numerical Calculation of the Horizontal Stress Difference of Viscous-Elastic Fluid Acting on the Residual Oil in Micro Pore.

References

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[6] Xia, H.F., Ye, J. and Kong, F.S. (2004) Effect of Elastic Behavior of HPAM Solutions on Displacement Efficiency on Mixed Wettability Conditions. SPE Asia Pacific Oil and Gas Conference and Exhibition, Perth, 18-20 October 2004.

[7] Xia, H.F., Wang, D.M., Wang, G., et al. (2009) Effect of Micro Forces Caused by Driving Fluid with Viscous-Elasticity on Residual Oil in Chemical Flooding. Journal of China University of Petroleum (Natural Science Edition), 33, 151-155.

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[1] Yin, H.J., Wang, D.M., Zhong, H.Y., et al. (2012) Flow Characteristics of Viscous-Elastic Polymer. Solution in Micro-Pores, 1-9.

[2] Yin, H.J., Wang, D.M. and Zhong, H.Y., et al. (2006) Study on Flow Behaviors of Viscous-Elastic Polymer Solution in Micro Pore with Dead End. SPE 101950.

[3] Zhang, L.J., Yue, X.G., Liu, Z.C. and Hou, J.R. (2002) Flow Field of Viscous-Elastic Fluid in Pores with Dead Ends. Journal of Hydrodynamics, Ser A, 17, 748-755.

[4] Wang, D.M., Cheng, J.C., Yang, Q.Y., Gong, W.C., Li, Q. and Chen, F.M. (2000) Viscous-Elastic Polymer Can Increase Displacement Efficiency in Cores. SPE Annual Technical Conference and Exhibition, Dallas, 1-4 October 2000.

[5] Wang, D.M., Wang, G., Wu, W.X., et al. (2008) Influence of the Micro-Force Produced by Viscous-Elastic Displacement Liquid on Displacement Efficiency. Journal of Xi’an Shiyou University (Natural Science Edition), 23, 43-55.

[6] Xia, H.F., Ye, J. and Kong, F.S. (2004) Effect of Elastic Behavior of HPAM Solutions on Displacement Efficiency on Mixed Wettability Conditions. SPE Asia Pacific Oil and Gas Conference and Exhibition, Perth, 18-20 October 2004.

[7] Xia, H.F., Wang, D.M., Wang, G., et al. (2009) Effect of Micro Forces Caused by Driving Fluid with Viscous-Elasticity on Residual Oil in Chemical Flooding. Journal of China University of Petroleum (Natural Science Edition), 33, 151-155.

[8] Han, S.F. (2000) Non-Newtonian Fluid Constitutive Equation and Calculative Analytic Theory. Science Press, Beijing, 102.