Citation: | Tan Xiaoping, Pei Juemin, Chen Junkai. Three Dimensional Simulation of Unstable Immiscible Displacement in the Porous Medium[J]. Applied Mathematics and Mechanics, 1997, 18(1): 77-84. |
[1] |
A. E. Scheidegger, On the stability of displacement fronts in porous media f A discussionof the Muskat-Aranofsky Model, Call. J. Phys., 38 (1961), 153-162.
|
[2] |
P. G. Saffman and F. R. S. Taylor, The penetration of a fluid into a porous medium or Hele-Shaw cell containing more viscous liquid, Proc. R. Soc., London Ser A245 (1958),312-329.
|
[3] |
R. L. Chuoke. The instability of s1ow immiscibleviscous liquid-liquid displacement inpermeable media, Pet. Trans. AIME., 216 (1959), 188.
|
[4] |
H. D. outmans. Nonlinear theory for frontal stability and viscous fingering in porousmedia, Pey Trans. AIME., 225 (1962), 165.
|
[5] |
E. D. Chikhliwala and Y. C. Yortsos, Investigations on viscous fingering by linearweakly nonlinear stability analysis, SPE Reser. Eng., (1988), 1268-1277.
|
[6] |
D. S. Hughes and P. Marphy, Use of monte carlo method to simulate unstable miscibleand immiscible flow through porous media, SPE Reser. Eng. (1988), 1129-1136.
|
[7] |
D. G. Kirakidis and E. G. Mitsoulis, et al., Linear displacement of a wetting fluid by animmiscible non-wetting fluid in a porous medium: A Predictive Algorithm, The CanadianJ. Chem. Eng., 69 (1991), 557-563.
|
[8] |
A. J. Degregoria and L. W. Schwartz, A boundary integral method for two phase displacement in Hele-shaw cells, J. Fluid Mech., 164 (1986), 383-400.
|