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Permeability
Permeability
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Permeability
Permeability
connects Static Petrophysics
with
Dynamic Reservoir Behavior
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Permeability
Fluid Flow through Pores
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Permeability
Permeability
rapid variability
leads to immense mismatches
when comparing different techniques
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Permeability
Darcys Law
kA pqx
=
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Permeability
Effective Permeability ke
flow of one fluid hinders the flow of another limitation of Darcys law
concept of Relative Permeability
kr = ke / k
kro + krw < 1
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Permeability
Fluid Flow Equations
for water,
for oil,
rww
W
k kA pq
x
=
roo
o
k kA pqx =
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Permeability
Radial Cylindrical Fluid Flow
for oil
( )( )
7.07
ln /
o e f
oo e w
k h p p
q r r
=
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Permeability
Radial Cylindrical Fluid Flow
for gas
( )
( )
2 2704
ln /
g e f
g
g e w
k h p pq
ZT r r
=
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Permeability
Permeability
fromEmpirical Correlations
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Permeability
Permeability Porosity
Relationships
somewhat tenuous?
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Permeability
Permeability Variations
due to variations in grain size
tortuosityshaliness
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Permeability
Porosity and Permeability
do not obey the same rules
Porosity : sorting
Permeability : grain size
pore throats
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Permeability
Porosity vsPermeability
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Permeability
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Permeability
Porosity vs.Permeability
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Permeability
Clay Dehydration in Core Handling
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Permeability
Clay Dehydration in Core Handling
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Permeability
Internal Surface Area
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Permeability
Impact of Grain Size
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Permeability
Permeability and Grain Size
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Permeability
Irreducible Water
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Permeability
Grain Size and Irreducible Saturation
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Permeability
Permeability
is related to . . .
Capillary Pressure
Irreducible Water Saturation
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Permeability
CapillaryPressure Plots
Indicate permeability
by . . .
entry pressure irreducible
saturation
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Permeability
Reservoir Quality & Heterogeneity
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Permeability
Kozeny - Carman
Permeability related to Porosityand Surface Area of Grains
( )
3
23
5 1
k
Ag
=
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Permeability
Wyllie and Rose Conjecture
Grain Surface Area
is related approximately
to
Irreducible Water Saturation Swirr
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Permeability
Permeability
Swirr is a surrogate for
Grain Surface Area
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Permeability
Wyllie and Rose
Permeability Relationship
31/ 2
wi
k C
S C
=
+
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Permeability
Timur Equation
for Permeability
2.251/ 2 100
wi
kS
=
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Permeability
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Permeability
Schlumberger Chart K-4
advantage that k = 0 at Swi = 1
and at e = 0
1/ 2 2 170 wiewi
Sk
S =
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Permeability
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Permeability
Permeability from Bulk Volume Water
BVWi = BVWiclean + Sbw t
1/ 2 2100 t ie
i
BVWk
BVW
=
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Permeability
BVWi = a constant
BVW = Sw= a constant
at irreducible saturation
BVW becomes BVWi
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Permeability
Pressure Behavior
during flow rate changes
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Permeability
Pressure Behavior
Drawdown Buildup
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Permeability
Drawdown Tests
from start of constant rate fluid flow, reservoirpressure drops exponentially
from shut-in to flowing
Drawdown is a measure of Permeability
analogous situation in Wireline Tester tools
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Permeability
Repeat
FormationTester RFT
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Permeability
RFT Pretest Record
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Permeability
Pretest
Drawdown vsQualitative k
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Permeability
Permeability from Pretest Drawdown
for standard wireline tester probes
and usual hole sizes:
5660d
qk
p
=
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Permeability
Influence of Flushed Zone
pretest drawdownpressure disturbance
mainly within flushed
zone
residual oil unfortunate spot on
rel. perm. curves
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Permeability
Wireline TesterPressure Record
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Permeability
PressureBehavior
High Permeability
Rapid Buildup
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Permeability
PressureBehaviour
Low Permeability
Slow buildup
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Permeability
Permeability from Buildup
on large sample
Horner Plot
Cylindrical Propagation
88.4c
c
qk
m h
=
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Permeability
Horner Plot
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Permeability
Pressure Disturbance Propagation
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Permeability
Permeability
from
Nuclear Magnetic Resonance
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Permeability
Permeability from NMR
purely empirical
Numar
Schlumberger
( )2
410FF e
i
k
BVW
=
i
24
2,logek C T=
f
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Permeability
Permeability from NMR
NMR P it & P bilit
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Permeability
NMR Porosity & Permeability
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Permeability
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Permeability
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Permeability