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Fluid properties affecting the fluid dynamics (fluid motion in pipes and porous reservoir):

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oil

...

gas

...

water

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Density

LaTeX Math Inline
body\rho_

w^{\LARGE \circ}

o = \rho_

w(P^{\LARGE \circ}, T^{\LARGE \circ})density of water phase at standard pressure

o(P, T)

LaTeX Math Inline
body

P^{\LARGE \circ} and temperature

\rho_g = \rho_g(P, T)

LaTeX Math Inline
body

T^{\LARGE \circ}

\rho_w = \rho_w(P, T)

FVF

LaTeX Math Inline
bodyB_o = B_o(P,T) = \frac{\rho_o^{\LARGE \circ}}

=

{\rho_o

(P^{\LARGE \circ}, T^

} = \frac{V_o}{V_o^{\LARGE \circ}}

)

density of oil phase at standardpressure

LaTeX Math Inline
body

P^

B_g = B_g(P,T) = \frac{\rho_g^{\LARGE \circ

} and temperature LaTeX Math InlinebodyT^

}}{\rho_g} = \frac{V_g}{V_g^{\LARGE \circ}}

LaTeX Math Inline
bodyB_w = B_w(P,T) = \frac{\rho_

g^

w^{\LARGE \circ}}

=

{\rho_

g(P^{\LARGE \circ}, T^

w} = \frac{V_w}{V_w^{\LARGE \circ}

)density of gas phase at standard pressure

}

Compressibility


LaTeX Math Inline
body
P^{\LARGE \circ} and temperature
c_o = c_o(P, T)


LaTeX Math Inline
body
T^{\LARGE \circ}
c_g = c_g(P, T)

LaTeX Math Inline
body

\rho

c_w =

\rho

c_w(P, T)

density of water phase at arbitrary pressure
Viscosity

LaTeX Math Inline
body

P and temperature

\mu_g = \mu_g(P, T)

LaTeX Math Inline
body\mu_o = \mu_o (P, T)

LaTeX Math Inline
body\

rho

mu_

o

w = \

rho

mu_

o

w(P, T)

density of oil phase at arbitrary pressure
shc

LaTeX Math Inline
bodyc_{po} = c_{po}(P

, T)

LaTeX Math Inline
bodyc_{pg} = c_{pg}(P, T)

and temperature

LaTeX Math Inline
bodyc_{pw} = c_{pw}(P, T)

Thermal conductivty

LaTeX Math Inline
body\

rho

lambda_

g

o = \

rho

lambda_

g

o(P, T)

density of gas phase at arbitrary pressure and temperature

LaTeX Math Inline
body

P

\lambda_g = \lambda_g(P, T)

LaTeX Math Inline
body\lambda_w = \lambda_w(P, T)

Cross-phase exchange coefficients

LaTeX Math Inline
body

B

R_

w

s =

B

R_

w

s (P,T) = \frac{

\rho

V_

w^

g^{\LARGE \circ}}{

\rho

V_

w} =

o}

LaTeX Math Inline
bodyR_v = R_v (P,T) = \frac{V_o^{\LARGE \circ}}{V_g}


Transition points

LaTeX Math Inline
bodyP_b = P_b (T)

LaTeX Math Inline
bodyP_d = P_d (T)




  • density

  • compressibility

  • formation volume factor

  • viscosity

  • specific heat capacity at constant pressure

  • thermal conductivity

  • cross-phase exchange coefficients


w}{V_w^FVF arbitrary PT gas viscosity of water viscosity of oil phase at arbitrary pressure

LaTeX Math Inline
body\rho_w^{\LARGE \circ} = \rho_w(P^

{\LARGE \circ}, T^{\LARGE \circ})

density of water phase at

standard pressure

LaTeX Math Inline
body

P^{\LARGE \circ}
and temperature
LaTeX Math Inline
body

T^{\LARGE \circ}

LaTeX Math Inline
bodyB_o = B_o(P,T) = \frac{\rho_o^{\LARGE \circ} }{= \rho_o} = \frac{V_o}{V_o^(P^{\LARGE \circ}, T^{\LARGE \circ}})

FVF density of oil phase at arbitrary standardpressure

LaTeX Math Inline
bodyPP^{\LARGE \circ}
and temperature
LaTeX Math Inline
bodyTT^{\LARGE \circ}

LaTeX Math Inline
bodyB_g = B_g(P,T) = \frac{\rho_g^{\LARGE \circ} }{= \rho_g} = \frac{V_g}{V_g^(P^{\LARGE \circ}, T^{\LARGE \circ})

density of gas phase at standard pressure

LaTeX Math Inline
bodyP^{\LARGE \circ}
and temperature
LaTeX Math Inline
bodyT^{\LARGE \circ}}
FVF


density of

water phase at arbitrary pressure

LaTeX Math Inline
bodyP
and temperature
LaTeX Math Inline
bodyT


density of oil phase at arbitrary pressure

LaTeX Math Inline
body

\mu_w = \mu_w(P, T)

P
and temperature
LaTeX Math Inline
bodyT


density of gas

phase at arbitrary pressure

LaTeX Math Inline
bodyP
and temperature
LaTeX Math Inline
bodyT


FVF of water phase at arbitrary pressure

LaTeX Math Inline
bodyP
and temperature
LaTeX Math Inline
bodyT


\mu_o = \mu_o (P, T)
LaTeX Math Inline
bodyP
and temperature
LaTeX Math Inline
bodyT


FVF of gas phase at arbitrary pressure

LaTeX Math Inline
bodyP
and temperature
LaTeX Math Inline
bodyT\mu_g = \mu_g(P, T)


viscosity of gas water phase at arbitrary pressure

LaTeX Math Inline
bodyP
and temperature
LaTeX Math Inline
bodyT


viscosity of oil phase at arbitrary pressure

LaTeX Math Inline
bodyR_s = R_s (P,T) = \frac{V_g^{\LARGE \circ}}{V_o}P
and temperature
LaTeX Math Inline
bodyT


viscosity of gas solution gas in oil phase at arbitrary pressure

LaTeX Math Inline
bodyP
and temperature
LaTeX Math Inline
bodyT


solution gas in oil phase at arbitrary pressure

LaTeX Math Inline
bodyP
and temperature
LaTeX Math Inline
bodyTR_v = R_v (P,T) = \frac{V_o^{\LARGE \circ}}{V_g}


oil vapour in gas phase at arbitrary pressure

LaTeX Math Inline
bodyP
and temperature
LaTeX Math Inline
bodyT
LaTeX Math Inline
bodyP_b = P_b (T)


boiling pressure at arbitrary temperature

LaTeX Math Inline
bodyT
LaTeX Math Inline
bodyP_d = P_d (T)


dew pressure at arbitrary temperature

LaTeX Math Inline
bodyT

...