Abstract
From the macroscopic point of view, expressions involving reservoir and operational parameters are established for investigating the stability of moving interface in piston- and non-piston-like displacements. In the case of axi-symmetrical piston-like displacement, the stability is related to the moving interface position and water to oil mobility ratio. The capillary effect on the stability of moving interface depends on whether or not the moving interface is already stable and correlates with the wettability of the reservoir rock. In the case of non-piston-like displacement, the stability of the front is governed by both the relative permeability and the mobility ratio.
Similar content being viewed by others
References
Bai Y.H., Li J.C., Zhou J.F. (2006) Effects of physical parameter range on dimensionless variable sensitivity in water flooding reservoirs. Acta Mech. Sin. 22(5): 385–391
Tan C.T., Homsy M. (1988) Simulation of nonlinear viscous fingering in miscible displacement. Phys. Fluids 31(6): 1330–1338
Guo S.P. (1990) Physical–chemical Percolation. Science Press, Beijing (in Chinese)
Jiang T.Q., Hou J.W. (1994) Viscous fingering in porous media and its fractal nature. Adv. Mech. 25(4): 476–482 (in Chinese)
Tanveer S. (2000) Surprise in viscous fingering. J. Fluid Mech. 409: 273–308
Bonn D., Kellay H., Braunlich M., Amar M.B., Meunier J. (1995) Viscous fingering in complex fluids. Phys. A Stat. Theor. Phys. 220(1–2): 60–73
Masami K. (1997) Comparison of viscous fingering patterns in polymer and Newtonian solutions. Phys. D Nonlinear Phenom. 105(1–3): 121–129
Masami K. (1997) Viscous fingering patterns in polymer solutions. Phys. D Nonlinear Phenom. 109(3–4): 325–332
Masami K. (2001) Viscous fingering in polymeric systems. Nonlinear Anal. 47(2): 907–918
Tanuja S., Muralidhar K. (2003) Isothermal and non-isothermal oil–water flow and viscous fingering in a porous medium. Int. J. Therm. Sci. 42(7): 665–676
Riaz A., Meiburg E. (2003) Radial source flows in porous media: linear stability analysis of axial and helical perturbations in miscible displacements. Phys. Fluids 15: 938–946
Riaz A., Pankiewitz C., Meiburg E. (2004) Linear stability of radial displacements in porous media: influence of velocity-induced dispersion and concentration-dependent diffusion. Phys. Fluids 16(10): 3592–3598
Riaz A., Meiburg E. (2003) Three-dimensional miscible displacement simulations in homogeneous porous media with gravity override. J. Fluid Mech. 494: 95–117
Kong X.Y. (1999) Advanced Mechanics of Fluids in Porous Media. China Science & Technology University Press, Hefei (in Chinese)
Zhang J.G., Lei G.L., Zhang Y.Y. (1998) Percolation Mechanics in Oil and Gas Reservoirs. China University of Petroleum Press, Dongying (in Chinese)
Author information
Authors and Affiliations
Corresponding author
Additional information
The project supported by the National Basic Research Program of China (2005CB221300), and the Innovative Project of Chinese Academy of Sciences (KJCX-SW-L08).
The English text was polished by Yunming Chen.
Rights and permissions
About this article
Cite this article
Bai, Y., Zhou, J. & Li, Q. Stability analysis of the moving interface in piston- and non-piston-like displacements. Acta Mech Sin 24, 381–385 (2008). https://doi.org/10.1007/s10409-008-0161-2
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10409-008-0161-2