Relative Permeability Outline Application of 3phase relative permeabilities Saturationdependencies of 3phase relative permeabilities Occupancies and filling sequences Dependency ID: 363808
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Slide1
Three PhaseRelative PermeabilitySlide2
Outline
Application of 3-phase relative
permeabilities
Saturation-dependencies of 3-phase relative
permeabilities
Occupancies
and
filling
sequences
Dependency
regions
Probabilistic
model
Ternary
diagram
Iso-relative
permeabilities
(
isoperm
)
Modeling
of
three
phase relative
permeabilitySlide3
Application of 3-phase relperm
Main
application
in EOR
projects
, WAG, SWAG, etc.
Equilibrium
gas or separator gas
injection
.
3-phase
relperm
measurement
is
difficult
,
expensive
and time
consuming
.
Two phase data is
much
more
available
.
Many
methods
have
been
developed
to
calculate
three
phase relative
permeability
from
two
phase
curves
(water/oil
curve
and oil/gas
curve
).Slide4
Relative Permeability
Correlations
Lab measurements
Three phase system
Corey’s model
Two phase system
Stone 1 and 2 models
Stone 1
Scaling
technique
Input
two
sets
of
rel
perm data
k
row,krw=f(Sw)krog,krg=f(Sg)Find kro=f(Sw,Sg)
Stone 2
Does
not
require
S
or
Find
k
ro
=f(S
w
,S
g
)Slide5
3-Phase relative permeabilities
Traditional assumptions for saturation-dependencies
k
rw
(S
w
), k
rg
(
Sg
), kro(S
w,Sg)
Which is based on simple pore scale view of pore occupancySlide6
Traditional assumptions for saturation-dependencieskrw(S
w
), k
rg
(
S
g
), k
ro
(Sw,S
g)Water-
wet system: Water in small pores, gas in big pores, oil in between
3-Phase relative permeabilitiesSlide7
Similar to water-oil system, water occupancy depends
only
on water
saturation
,
therfore
k
rw(
Sw)
3-Phase relative permeabilitiesSlide8
Similar to gas-oil system, gas occupancy depends
only
on gas
saturation
,
therfore
k
rg(
Sg)
3-Phase relative
permeabilitiesSlide9
Oil is in contact with water and gas.
Therefore
oil occupancy
depends
on gas and water occupancy.
k
ro
(
S
g,
Sw
)
3-Phase relative
permeabilitiesSlide10
Ternary Diagram
Plot Point for:
S
w
=0.25
S
o
=0.40
S
g
=0.35
0.00 S
o
1.00Slide11
Iso-relative
permeabilities
(
isoperm
)
Lines show
constant
k
ro
(
isoperm
)
Not
parallel
to
any
saturation
lines
k
ro
is a
function
of
both
water and gas
saturation
Pore
size
distribution
Water:
smallest
Gas:
largest
Oil:
intermediate poresSlide12
Iso-relative permeabilities (
isoperm
)
Lines show
constant
k
rg
(
isoperm
).
Approximately parallel
to gas saturation lines
Krg is a function of gas saturation
Gas is in largest
poresSlide13
Stone model 1Proposed
method
by Stone in 1970
S
or
: residual oil
saturation
S
wir
: irreducible water
saturation
S
oD
S
w
D
SgD
k
ro
Slide14
Stone model 2
Stone's model 2 is a modified version of Stone 1. It is a better predictor than Stone 1 in high-oil saturation regions. It is more appropriate for water-wet systems and is not suited for intermediate wet systems.