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Material properties of fluid affecting the fluid dynamics:

DensityFVFZ-factorCompressibilityViscositySpecific heat capacityThermal conductivityCritical TemperatureCritical PressurePhase exchange VLE



For  3-phase Oil + Gas + Water fluid model this will be:


OilGasWater
Density

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

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
bodyP^{\LARGE \circ}
and temperature LaTeX Math InlinebodyT^{\LARGE \circ}

LaTeX Math Inline
body\rho_

o^{\LARGE \circ}

o = \rho_o(

P^{\LARGE \circ}, T^{\LARGE \circ})density of oil phase at standardpressure
LaTeX Math Inline
bodyP^{\LARGE \circ}
and temperature
LaTeX Math Inline
bodyT^{\LARGE \circ}

p, T)

LaTeX Math Inline
body\rho_

g^{\LARGE \circ}

g = \rho_g(

P^{\LARGE \circ}, T^{\LARGE \circ})density of gas phase at standard pressure
LaTeX Math Inline
bodyP^{\LARGE \circ}
and temperature

p, T)

LaTeX Math Inline
body

T^{

\

LARGE \circ} LaTeX Math Inlinebody\

rho_w = \rho_w(

P

p, T)

density of water phase at arbitrary pressure LaTeX Math Inlinebody\rho
Z-factor

LaTeX Math Inline
body

P and temperature
LaTeX Math Inline
bodyT

Z_o =

\rho

Z_o(

P

T,

T

p)

density of oil phase at arbitrary pressure and temperature
LaTeX Math Inline
bodyT
LaTeX Math Inlinebody\rho

LaTeX Math Inline
body

P

Z_g =

\rho

Z_g(

P

T,

T

p)

density of gas phase at arbitrary pressure

LaTeX Math Inline
body

P

Z_w = Z_w(T, p)

FVF
and temperature

LaTeX Math Inline
body

T LaTeX Math Inlinebody

B_

w

o = B_

w

o(P,T) = \frac{\rho_

w^

o^{\LARGE \circ}}{\rho_

w

o} = \frac{V_

w

o}{V_

w^

o^{\LARGE \circ}}

FVF of water phase at arbitrary pressure
LaTeX Math Inline
bodyP
and temperature LaTeX Math InlinebodyT

LaTeX Math Inline
bodyB_

o

g = B_

o

g(P,T) = \frac{\rho_

o^

g^{\LARGE \circ}}{\rho_

o

g} = \frac{V_

o

g}{V_

o^

g^{\LARGE \circ}}

FVF of oil phase at arbitrary pressure LaTeX Math InlinebodyP

and temperature

LaTeX Math Inline
body

T
LaTeX Math Inline
bodyT
LaTeX Math Inlinebody

B_

g

w = B_

g

w(P,T) = \frac{\rho_

g^

w^{\LARGE \circ}}{\rho_

g

w} = \frac{V_

g

w}{V_

g^

w^{\LARGE \circ}}

FVF of gas phase at arbitrary pressure
Compressibility

LaTeX Math Inline
body

P and temperature LaTeX Math InlinebodyT

c_o = c_o(P, T)

LaTeX Math Inline
bodyc_g = c_g(P, T)

LaTeX Math Inline
body

\mu

c_w =

\mu

c_w(P, T)

viscosity of water phase at arbitrary pressure
Viscosity

LaTeX Math Inline
body

P and temperature LaTeX Math InlinebodyT

\mu_g = \mu_g(P, T)

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

viscosity of oil phase at arbitrary pressure

LaTeX Math Inline
body

P LaTeX Math Inlinebody

and temperature
LaTeX Math Inline
bodyT

\mu_

g

w = \mu_

g

w(P, T)

viscosity of gas phase at arbitrary pressure
Specific heat capacity

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

and temperature

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

LaTeX Math Inline
body

R

c_

s

{pw} =

R

c_

s

{pw}(P, T)

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

Thermal conductivity
solution gas in oil phase at arbitrary pressure

LaTeX Math Inline
body

P and temperature

\lambda_o = \lambda_o(P, T)

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

LaTeX Math Inline
body

R

\lambda_

v

w =

R

\lambda_

v

w(P, T)

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

Oil-Gas exchange
oil vapour in gas phase at arbitrary pressure

LaTeX Math Inline
body

P and temperature

R_s (p,T)

LaTeX Math Inline
bodyR_v (p,T)


Saturation pressure

LaTeX Math Inline
bodyP_b = P_b (T)

boiling pressure at arbitrary temperature

LaTeX Math Inline
body

T

LaTeX Math Inlinebody

P_d = P_d (T)



See Also

...

Petroleum Industry / Upstream / Subsurface E&P Disciplines / Fluid Analysis (PVT)

...


Reference

...

CURTIS H. WHITSON AND MICHAEL R. BRULÉ, PHASE BEHAVIOR, SPE Monograph Volume 20, 2000


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titleARAX

Whitson, Brule, Phase Behavior, SPE Monograph Volume 20, 2000

...