Versauerung Brady & Weil (2002): The Nature and Properties of Soils. S. 382 .
2002 DLP_Fluid-Properties-Marhoun2002
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Transcript of 2002 DLP_Fluid-Properties-Marhoun2002
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Reservoir Fluid Properties
State of the Art and Outlook for Future Development
Society of Petroleum Engineers SPE 2001–2002 Distinguished Lecturer Program
4 July 2002
Dr. Muhammad Al-Marhoun King Fahd University of Petroleum & Minerals
Dhahran, Saudi Arabia
E-mail: [email protected]
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Outline
Introduction
State of the Art
Determination of PVT properties
Problems related to PVT Experimentation & Calculations
Data smoothing & Correlations
Artificial neural networks
PVT Reporting
Conclusions
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Introduction
Fluid Properties
The study of the behavior of vapor and liquid in
petroleum reservoirs as a function of pressure,
volume, temperature, and composition
Importance of PVT Properties
Determination of hydrocarbon reserves
Reservoir and simulation studies
Design of production facilities
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State of the Art
Graphical correlations are reduced to equations
Correlations have been improved
Fluid classification in reservoirs is defined
Laboratory analyses have been standardized
Chemical analyses of petroleum are made
available
EOS is utilized to calculate gas-liquid equilibria
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Determination of PVT properties
Laboratory measurements using:
Bottom hole sample
Recombined surface sample
Equation of state with appropriate calibrations
Empirical correlations with appropriate range
of application
Artificial neural networks models
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Problems related to
experimentation
Reservoir process presentation
Physical trends of lab data
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Reservoir process presentation Lab tests do not duplicate reservoir process
Petroleum engineers consider liberation process in reservoir approaches differential
Liberation process around well is considered flash
Actual process is neither flash nor differential
A combination test may be closest to the reservoir process
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Phase transition in oil reservoir
Zone A: above pb
Zone B: below pb, flash
Zone C: differential
A B
Well
Reservoir
C
Separator
Oil
Gas
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Typical trends of good lab data
1.29
1.30
1.30
1.30
1.31
1.31
1500 2000 2500 3000 3500
Pressure
Vo
0.00
0.00
0.00
0.00
0.00
0.00
1500 2000 2500 3000 3500
Pressure
Co
-1.54E-09
-1.53E-09
-1.53E-09
-1.52E-09
-1.52E-09
1500 2000 2500 3000 3500
Pressure
Slo
pe
of
Co
Good experimental P-V data
should follow physical trend.
Volume decreases with P
Co decreases with P
decreases with P
T
o
o
op
V
VC
1
dpdCo
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Abnormal Co trend
1.35
1.36
1.36
1.37
1.37
1.38
1500 2000 2500 3000 3500
Pressure
Vo
0.00
0.00
0.00
0.00
0.00
0.00
0.00
1500 2000 2500 3000 3500
Pressure
Co
-2.67E-10
-2.66E-10
-2.65E-10
-2.64E-10
-2.63E-10
-2.62E-10
-2.61E-10
1500 2000 2500 3000 3500
Pressure
Slo
pe
of
Co
Co should decrease
with pressure
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Abnormal Co derivative trend
1.21
1.22
1.22
1.23
1.23
1.24
1.24
1500 2000 2500 3000 3500 4000
Pressure
Vo
0.00
0.00
0.00
0.00
0.00
0.00
1500 2000 2500 3000 3500 4000
Pressure
Co
-1.69E-10
-1.69E-10
-1.69E-10
-1.69E-10
-1.69E-10
-1.69E-10
-1.69E-10
1500 2000 2500 3000 3500 4000
Pressure
Slo
pe
of
Co
should
decrease with pressure
dpdCo
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Problems related to calculations
Adjustment of differential data
as an example
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Adjustment of differential data
to separator conditions -Why?
Rs and Bo obtained by differential liberation are not the same as Rs and Bo obtained by flash liberation
Oil leaving reservoir is flashed to separator, therefore Rs and Bo should be determined by a flash process
Flash liberation does not cover whole range of interest, therefore differential data are corrected
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Current adjustment method-Properties
At lower pressure formation volume factor, Bo
might read a value less than 1
0.90
1.00
1.10
1.20
1.30
1.40
0 500 1000 1500 2000 2500
Pressure
Bo
Bo-typical
Bo-corrected
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Current adjustment method-Properties
At lower pressure, the solution gas-oil ratio, Rs extrapolates to negative values.
-200.00
0.00
200.00
400.00
600.00
0 500 1000 1500 2000 2500
Pressure
Rs
Rs-typical
Rs-corrected
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Current adjustment method-Properties
Current adjustment
method does not
honor density at
bubble point under
reservoir conditions
ob
gso
obB
Rx
41018.2
Property Adjusted
Differential
Flash
Liberation
Bob 1.289 1.289
Rs 526 526
g 0.9336 0.8024
o 0.8448 0.8343
ob 0.738444 0.7186265
The same crude
under the same
reservoir conditions,
but different
densities
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Adjustment methods of oil FVF
Current Adjustment of Bo
obd
obf
odoB
BBB
obfodnobfo BBcBB
Suggested Adjustment
)/()( odnobdodobd BBBBc
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Oil FVF
0.9
1
1.1
1.2
1.3
1.4
0 500 1000 1500 2000 2500
Pressure, psia
Oil
FV
F
Differential
Current
Suggested
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obd
obf
sdsbdsbfsB
BRRRR )(
Adjustment methods of solution GOR
Current Adjustment of Rs
Suggested Adjustment
sbdsbfsds RRRR
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Solution GOR
-100
0
100
200
300
400
500
600
0 500 1000 1500 2000 2500
Pressure, psia
So
luti
on
GO
R
, SC
F S
TB
Differential
Current
Suggested
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gdg
Adjustment methods of gas relative density
Current Adjustment of g
Suggested Adjustment
)(1 gfgdgfg n
d
)/()(111
ngdgdgdgdd
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Gas relative density
0.6
0.8
1
1.2
1.4
1.6
1.8
0 500 1000 1500 2000 2500
Pressure, psia
Ga
s re
lati
ve
den
sity
Differential
Current
Suggested
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odo
Adjustment methods of oil relative density
Current Adjustment of o
Suggested Adjustment
)( ofodofo c
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Oil relative density
0.832
0.834
0.836
0.838
0.84
0.842
0.844
0.846
0 500 1000 1500 2000 2500
Pressure, psia
Oil
rel
ati
ve
den
sity Differential
Current
Suggested
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Live oil relative density
0.7
0.72
0.74
0.76
0.78
0.8
0.82
0.84
0.86
0 500 1000 1500 2000 2500
Pressure, psia
Liv
e o
il r
ela
tiv
e d
ensi
ty Differential
Current
Suggesed
o
gso
orB
Rx
41018.2
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Problems related to
Smoothing experimental data
Smoothing relative total volume data
as an example
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Smoothing relative total volume data
To obtain P-V data, conduct a flash
liberation experiment on a gas-oil mixture
at a constant temperature
Data analysis defines
volume & pressure at bubble point
FVF above pb & total FVF below pb
The experimental data as reported are
accompanied by measurement errors.
Therefore, the data are usually smoothed
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Y-function properties
Only the experimental data at
pressures below pb are utilized
to obtain pb
1
2
3
4
5
6
0 1000 2000 3000 4000 5000
Pressure
To
tal
Re
lati
ve
Vo
lum
e
volume
Y-fun value
Bubble point volume is not
corrected
Y-Correlation with an error in the
bubble point volume may yield a
straight line but with the wrong
pb
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Y–Function plot
1
2
3
4
5
6
0 1000 2000 3000 4000 5000
Pressure
To
tal
Rel
ati
ve
Vo
lum
e volume
curve-1
curve-2
Y-fun value
YF
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Smoothing relative total volume data
paavvv
pppy
bbt
b
21/)(
/)(
paappp
vvvx
bb
bob43
/)(
/)(
Suggested: add x-function beside y-function
Current
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X-Y Function plot
1
2
3
4
5
6
0 1000 2000 3000 4000 5000
Pressure
To
tal
Rel
ati
ve
Vo
lum
e volume
curve-1
curve-2
XY-Curve
XY
YF 1944.5 1.2637
XY 2014.2 1.262208
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Problems related to
correlations
Correlation application
Properties of correlations
Physical trends of correlations
Pitfalls of least square method
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Correlation application
Correlations normally used to determine:
Bubble-point pressure, Pb
Solution gas-oil ratios, Rs
Density of liquids
Oil FVF, Bob & total FVF, Bt
Adjustment of Bob and Rs
Oil compressibility, Co
Oil viscosity, μo , μa , μl
Interfacial tension, σ
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Properties of correlations
Correlations typically match employed experimental
data, with deviations less than a few percent
When applied to other fluids, a much higher
deviations are observed
If fluids fall within the range of tested fluids, an
acceptable accuracy can be expected
Fluid composition could not be explained by gross
properties
Errors in some PVT correlations are not acceptable
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Physical trends of correlations
Trend tests are to check whether the
performance of correlation follows
physical behavior or not:
Trend tests on predicted values
Trend tests on errors
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Correlation with two equations
1.250
1.275
1.300
1.325
1.350
1.375
1.400
10 20 30 40 50 60
Oil API Gravity
Oil
FV
F
Standing
Marhoun
Vazquez & Beggs
Modeling physical properties with two equations might
produce non-physical trend
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Correlation with non-physical constraint
1.2
1.25
1.3
1.35
1.4
1.45
0.4 0.6 0.8 1 1.2 1.4 1.6
Gas Relative Density (Air=1.0)
Oil
FV
F
Standing
Marhoun
Vazquez & Beggs )( gapi
Restriction of correlation model gives non-physical trend
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Correlation with limited data
500
1000
1500
2000
2500
60 110 160 210 260
RESERVOIR TEMPERATURE F
Pb,
psi
Standing
Vazquez
Marhoun
Dokla & Osman
Correlation development for limited data will give a good fit,
but might lead to non-physical trend
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Trend Tests on Error: Effect of API On Bob
0
5
10
15
20
25
30
11.4<API<22
(23)
22<API<30
(39)
30<API<35
(26)
35<API<40
(56)
40<API<45
(33)
45<API<59.2
(20)
Oil API Gravity
Err
or
in B
o
Standing
Vazquez & Beggs
Marhoun
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Trend Tests on Error: Effect of GRD On Bob
0
5
10
15
20
25
30
0.525 - 0.7
(23)
0.7- 0.75
(25)
0.75-0.8
(24)
0.8-0.85
(24)
0.85-0.9
(22)
0.9 - 1.0
(27)
1.0-1.25
(30)
1.25-1.7
(21)
Gas Relative Density (Air=1.0)
Err
or
in B
o
Vazquez & Beggs
Standing
Marhoun
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Pitfalls of least square method
Used to estimate the regression coefficients in model
)(xfy
Basic assumption of LSM is the independent
variable x is determinate, i.e. it has no error
But x and y involve measurement errors, therefore
Do not rely entirely on a method when its basic
assumption is violated
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Comparison of the “Best fit line”
Min y-error LSM
Min x & y-error
0 10 20 30
0.01
0.1
1
10
100
1000
40
Property
y
x
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Pitfalls of logarithmic equivalence
logarithmic equivalent used to linearize equations
Given the problem
Use the logarithmic equivalent
Apply LSM to minimize error
Compare errors δ2
xnky logloglog
nkxy x y
1 2.5
2 8.0
3 19.0
4 50.0
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Method k n
δ2
(logarithmic
equivalent)
δ2
(original
problem)
LSM 2.224 2.096 0.02098 100.2
Iterative 0.474 3.36 0.56838 13.9
Comparative error analysis
)(log)(log givenyestimatedy
)()( givenyestimatedy
Error using logarithmic equivalent
Error using original values
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Artificial neural networks
Definition
Advantages
Problems & Challenges
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Artificial neural networks
A mathematical model that can acquire
artificial intelligence. It resembles brain in
two respects by
Acquiring knowledge through learning
process
Storing knowledge through assigning
inter-neuron connection strengths known
as weights
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Neural network architecture
INPUT HIDDEN
API
Rs
g
T
OUTPUT
Bob
Pb
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ANN Advantages
Model function does not have to be known
ANN learns behavior by self-tuning its parameters
ANN has the ability to discover patterns
ANN is fast-responding systems and provides a
confident prediction
ANN can accept more input to improve accuracy; such
continuous enrichment or “knowledge” leads to more
accurate predictive model
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ANN Problems & Challenges
Design of ANN:
Number of hidden layers
Number of neurons in each hidden layer
Learning constant to control speed of training
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ANN Problems & Challenges
Generalization Vs. Over Fitting
New training algorithms (cross validation)
Hybrid systems (expert systems)
Number of adjustable weights is large which
is not justified unless the PVT data is huge
Is the neural network the ultimate solution?
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PVT Reporting
Typical PVT report
PVT report shortcoming
Suggested improvement
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Sampling information
Hydrocarbon analysis of reservoir fluid
Oil compressibility
Pressure volume relationship (smoothed data)
Differential liberation
Separator tests
Hydrocarbon analysis of lab flashed gases
Liquid and gas viscosity data
Mixture density
Typical PVT Report
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PVT Report- Shortcoming
Reports smoothed results only
Does not include raw data
Does not verify data consistency
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Raw data reporting
Pressure volume (experimental data)
Differential liberation (experimental data)
Viscosity (experimental data)
Data consistency
Mixture density calculation & verification
Co calculation & verification
PVT Report -Suggested improvement
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Conclusions
More improvement in the following areas:
Problems related to experimentation
Reservoir process presentation
Physical trends of lab data
Problems related to calculations
Adjustment of differential data
Problems related to data smoothing
Y-function
XY-function
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Conclusions
Problems related to correlations
Physical trends of correlations
Pitfalls of least square method
Artificial neural networks
Design of ANN
Over Fitting
PVT Reporting
Raw data reporting
Data consistency
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Final Comment
There are challenges in addressing these
problems, but there are untapped scientific
tools as well.
We explored these challenges and
examined possible solutions.
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Thank You