Abstract
The concept of improving oil recovery through polymer flooding is analysed. It is shown that while the injection of a polymer solution improves reservoir conformance, this beneficial effect ceases as soon as one attempts to push the polymer solution with water. Once water injection begins, the water quickly passes through the polymer creating a path along which all future injected water flows. Thus, the volume of the polymer slug is important to the process and an efficient recovery would require that the vast majority of the reservoir be flooded by polymer. It is also shown that the concept of grading a polymer slug to match the mobilities of the fluids at the leading and trailing edges of a polymer slug does not work in a petroleum reservoir. While this process can supply some additional stability to the slug, it is shown that for the purposes of enhanced oil recovery this additional stability is not great enough to be of any practical use. It is found that in this case the instability has simply been hidden in the interior of the slug and causes the same sort of instability to occur as was the case for the uniform slug.
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Abbreviations
- A :
-
Defined by Equation (35) for Section 4 Defined by Equation (119) for Section 6
- A 12 :
-
The surface between fluids
- A αs :
-
The surface between fluidsα (ga = 1, 2) and the solid medium
- a (α) :
-
Defined by Equation (129) (α = 1, 2)
- a 1,a 2 :
-
Defined by Equations (36) and (37)
- B :
-
Defined by Equation (38) for Section 4 Defined by Equation (120) for Section 6
- B 1,B 2 :
-
Defined by Equations (115) and (116)
- b :
-
Defined by Equation (39)
- b (α) :
-
Defined by Equation (130) (α = 1, 2)
- C :
-
Curvature of fluid interface Defined by Equation (40) for Section 4 Defined by Equation (121) for Section 6
- C 1,C 2 :
-
Defined by Equations (160) and (161)
- c 1,c 2 :
-
Defined by Equations (41) and (42)
- c (α) :
-
Defined by Equation (131) (α = 1, 2)
- dĀ n dA :
-
wheren is the unit normal and dA is a surface element
- dA i :
-
Components of dA
- d (α) :
-
Defined by Equation (132) (α = 1, 2)
- E(x, y) :
-
exp[i(k x + k y )]
- f 1,f 2 :
-
Functions of saturation defined by Equation (27)
- f (1) :
-
Defined by Equation (15)
- g,g :
-
Gravitational acceleration
- g (2) :
-
Defined by Equation (23)
- h (2) :
-
Defined by Equation (22)
- K ij :
-
Permeabilities defined in Equations (123) to (128) (i, j = 1, 2)
- K :
-
Permeability
- K (i) :
-
Permeability for fluid 2 (i = 1, 2, 3)
- k :
-
Wave number
- k :
-
Wave number (k x ,k y)
- n :
-
Unit normal vector
- n :
-
Stability index
- n +,- :
-
Defined in Equation (46)
- p :
-
Averaged fluid pressure
- P (i) :
-
Average fluid pressure for phasei(i - 1, 2, 3)
- q :
-
Darcy velocity
- q (i) :
-
Darcy velocity of phasei (i = 1, 2, 3)
- q n :
-
Normal component of Darcy velocity at a front
- S (i) :
-
Saturation of phasei (i = 1, 2, 3)
- t :
-
Time
- U :
-
Darcy velocity of unperturbed configuration
- V :
-
Actual velocity of unperturbed front Volume element over which the pore scale equations have been averaged Greek
- α :
-
Interfacial tension
- γ 12 :
-
Defined by Equation (26)
- γ 23 :
-
Defined by Equation (28)
- ε, ε′,ε,ε′ :
-
Specify the magnitude of the initial perturbation
- ζ,ζ :
-
Perturbation of a front
- η :
-
Porosity
- η (i) :
-
Fraction of space occupied by fluidi (i = 1, 2, 3)
- μ :
-
Viscosity
- ξ(t),\(\bar \xi\)(t):
-
Time dependence of perturbation
- g9 (i) :
-
Density of phasei (i = 1, 2, 3)
- σ ij :
-
Stress tensor
- χ :
-
Velocity potential
- ω 1,ω 2 :
-
The roots of the equation
$$\omega ^2 + C_O \omega - k^2 \left( {1 - \frac{{C_0 U}}{{\eta n}}} \right) = 0$$
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Cyr, T.J., De La Cruz, V. & Spanos, T.J.T. An analysis of the viability of polymer flooding as an enhanced oil recovery technology. Transp Porous Med 3, 591–618 (1988). https://doi.org/10.1007/BF00959104
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DOI: https://doi.org/10.1007/BF00959104