UNIVERSITY OF TRIPOLI FACULTY OF ENGINEERING …
Transcript of UNIVERSITY OF TRIPOLI FACULTY OF ENGINEERING …
PREPARED BY:
ABDUALGHAFFAR.E.BEZAN AHMED.I .ABUFARWA MOHAMED.M.ELNECA’A
UNIVERSITY OF TRIPOLIFACULTY OF ENGINEERINGPETROLEUM DEPARTMENT
10/7/19
SUPERVISED BY: D r. MOHSEN MOHAMED KHAZAM
Contents
1. Comparison and Assessment of PVT Data
2. Selection of Representative Amal Fluid Sample
Data preparation
Recommendations
Conclusions
Modeling
Data Preparation
Objectives
Introduction
1. Phase Behavior and EOS Tuning of The Selected PVT Sample.
2. Relative Permeability.
3. Slim Tube Modeling.
Modeling
2
Introduction
• Amal Field Location
• Reservoir Fluid Type
• Laboratory Analysis of Reservoir Fluids
• EOS Overview
• Miscibility Concept
3
Amal Field Location Map
Black oilLow-shrinkage crude oil
Naphthenic
Introduction
Oil gravity=34.7° API
GOR = 410 SCF/STB
Bo = 1.356 rbbl/STB
Pi = 4690 psig
Pcurrent = 2719 psig
Pb=1852 psig
Tres= 229° F
Kw=12.15
• Amal Field Location
• Reservoir Fluid Type
• Laboratory Analysis of Reservoir Fluids
• EOS Overview
• Miscibility Concept
B1
B2
B3
B4 B7
B11
B12
B14
B46
B17
E1
N1
N11
R10.847
0.849
0.851
0.853
0.855
0.857
0.859
0.861
0.863
0.865
220 240 260 280 300 320
SP.G
r C7
+
Mw C7+
Watson Factor (Kw)
0
500
1000
1500
2000
2500
0 200 400 600 800 1000 1200
Pres
sure
psig
Temperature °F
Phase DiagramAmal Fluid Specifications
Comp. MOL %
CO2 0.5
N2 1.35
C1 25.62
C2 6.67
C3 6.8
I-C4 1.44
n-C4 4.65
I-C5 1.81
n-C5 2.61
C6 4.62
C7+ 43.93
Critical Point
4
.well name
?
?
14 wells
ObjectivesThe main objective of this study is to dynamically validate the Amal phase behavior model using CO2as injection solvent for EOR applications.q PVT Screening and Assessment
ü Collect all the Amal available PVT data (14 samples).ü Analyze and assess the PVT properties arealy and vertically.ü Select the most representative PVT sample to model.
q Phase Behavior Modellingü Select and adjust the most commonly used EOS’s (PR3 and SRK3) to model the Amal fluid behavior.ü Use conventional and special PVT data for tuning purpose.ü Examine the extended and lumped compositional models using the splitting and lumping techniques.
adopted in the industry (e.g. Whitson approach).
q Slim Tube Modellingü Build and characterize a slim tube model using 1D E300 model with optimum number of grids.ü Use measured data to back calculate the base relative permeability curves (BL & JR techniques).ü Conduct sensitivity analyses to evaluate and minimize any other dynamic flow effects.ü Simulate CO2 injection at different pressures with the concept of interfacial forces (IFT change) and its
impact on relative permeability shapes.ü CO2 MMP determination.
5
Comparison and Assessment of PVT Data
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0
5
10
15
20
25
30
35
40
45
50
Co2 N2 C1 C2 C3 iC4 nC4 iC5 nC5 C6 C7+
Z %
Compositional graph
B27 B1 B2 B3 B4 B7 B51
Comparison and Assessment of PVT Data
1.05
1.1
1.15
1.2
1.25
1.3
1.35
1.4
1.45
0 1000 2000 3000 4000 5000
Bo S
TB/b
bl.
Pressure PSIG
Formation Volume Factor At 229° F
B1-12 B2-12B4-12 B7-12B51-12 B3-12
0
100
200
300
400
500
0 1000 2000 3000 4000 5000
Rs S
CF/S
TB
Pressure PSIG
Solution Gas Oil Ratio At 229° F
B2-12
B4-12
B7-12
B3-12
B1-12
?
0.75
1.25
1.75
2.25
2.75
0 1000 2000 3000 4000 5000
Visc
osity
CP
Pressure PSIG
Viscosity At 229° FB1-12 B2-12B4-12 B7-12B51-12 B3-12
B1
B2
B4
B7
B51
B3
9900
10000
10100
10200
10300
10400
10500
10600
1000 1500 2000
Tota
l dep
th ft
.
Saturation Pressure PSIG
Saturation Pressure Variation With Depth
B1
B2
B4
B7
B51
B3
B1
B2
B4
B7
B51
B3
9900
10000
10100
10200
10300
10400
10500
10600
0 10 20 30 40 50
Tota
l dep
th ft
.
Composition Variation With Depth
C1 C7+
Areal Analysis Vertical Analysis
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0.7
0.72
0.74
0.76
0.78
0.8
0.82
0 1000 2000 3000 4000 5000
Oil
Dens
ityGm
s/Cc
Pressure psig
Density At 229° FB1B2B4B51B7B3
Phase Behavior and EOS Modeling
PR3 EOS was applied to simulate Amal
phase behavior using:
ü Conventional PVT tests
üConstant-composition expansion.
üDifferential liberation.
üSeparator tests.
üViscosity tests
üSpecial PVT tests
üSwelling test.
üSlim tube experiments-MMP.
• C7+ Characterization/splitting using • Whitson Gamma-Distribution Model.• Three pseudo-components.
• Critical Properties and Acentric Factors• Kesler-Lee Correlation• Edmister Correlation
• Regression Techniques• Careful selection of weight factors for
different experiments• Regression variables within acceptable limits
•Grouping technique• Mole Fraction
• Regression Technique• Critical properties (Pcrit, Tcrit )• Critical Volume (Vcrit)• Binary interaction coefficient (BIC)
PVTi Package Splitting & Regression Grouping & Regressing
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
95 295 495 695
SP.G
R
Mw
Katz and F iroozabadi
pseudo-component
Comp. mol % MWCO2 0.5N2 1.35C1 25.62C2 6.67C3 6.8IC4 1.44NC4 4.65IC5 4.62NC5 2.61C6 1.81
FRC1 16.927 119.59FRC2 19.721 266.82FRC3 7.2816 580
Comp. Z% MwCO2 0.5 0.1629
N2C1 26.97 16.642
C2 6.67 1.4847
C3C4 12.89 50.724
C5C6 9.04 74.523
FRC1 16.927 119.59
FRC2 19.721 266.82
FRC3 7.2816 580
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• Regression variables• Tcrit, Pcrit, Sshift, BIC• Vcrit
Simulation of Conventional PVT Tests – Lumped ModelCCE: Relative Vol. DL: Gas-Oil Ratio DL: Gas gravity
DL: Liquid density DL: Oil rel vol Oil viscosity
Simulation of Special PVT Test – Lumped Model
SWELL: Sat Pressure SWELL: Relative Vol.
Base Relative Permeability Curves
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
0 0.05 0.1 0.15
SG
1/Qi
Sg avg
Sg2
Sor = 1-0.54 = 0.46
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
0 0.5 1 1.5 2
SG
1/QI
Sg 2
Sg avg
Sor = 1-0.54 = 0.46
0
0.2
0.4
0.6
0.8
1
0
0.2
0.4
0.6
0.8
1
0 0.2 0.4 0.6 0.8 1
Kro
krg
Sg
Smoothed relative permeability curves
Bardon and Longeron Method Jones and Roszelle Method
KrO = ΔpOfO
Δp − t d Δpdt
Krg = Δpgfg
Δp − t d Δpdt
KrO = ⁄µOfO2 µe2 Krg = ⁄µgfg2 µe2
Bardon and Longeron Method
Jones and Roszelle Method
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0
0.2
0.4
0.6
0.8
1
0
0.2
0.4
0.6
0.8
1
0 0.2 0.4 0.6 0.8 1
Kro
Krg
Sg
BL & JR comparison
0
0.2
0.4
0.6
0.8
1
0
0.2
0.4
0.6
0.8
1
0 0.2 0.4 0.6 0.8 1
Kro
krg
Sg
Smoothed relative permeability curves
Applying lab data from the immiscible experiment At 2000 Psia (IFT = 5 Dyne/Cm)
Analytical correlations can be applied to calculate the base relative perm (using simulation model with trail & error) if no enough measured data are available to back calculate the base relative perm.
• Corey correlation (1954) oil-gas system
Relative Permeability – Using Analytical Correlations
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krg = krgmaxSg − Sgc
1 − Swc − Sgc − S𝑜𝑟Ng
kro = kromax1 − Swc − Sor − Sg1 − Swc − Sgc − S𝑜𝑟
No
0
0.2
0.4
0.6
0.8
1
0
0.2
0.4
0.6
0.8
1
0 0.2 0.4 0.6 0.8 1
Kro
Krg
Sg
Corey Correlation
krg
kro
0.1
1
10
100
0 0.2 0.4 0.6 0.8 1
Krg/
Kro
Sg
Krg/Kro
Krg/Kro Corey
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
0 0.2 0.4 0.6 0.8 1
Kro
Krg
Sg
Corey vs BL method
Krgmax = 0.46 Sgc = 0 Ng = 0.98
Kromax = 1 (Sor) = 0.46 No= 2.363
1215 cm (40 ft.)
DY = 0.4136 cm
Dx = 6.075 cm
ɸ = 35.3%K = 4600 md
Soi = 100%
200 cells
Pore Volume = 73.37 cc
Injector Producer
Qi = 7.104 cc/hr.
2250 F23 hr..DZ = 0.4136 cm
• The Slim Tube horizontal model was built using Eclipse E300• 3PR EOS • Rel.Perm curves
Slim Tube Experiments - Simulation Model
Exp. Pressure Psia
1st 2000
2nd 3000
3th 3600
4th 4000
Reservoir Temperature
13
C = 3.4E-6 psi-1
0
2
4
6
8
10
12
14
16
18
20
0 5 10 15 20 25
conc
entr
atio
n
TIME (hr..)
C5+ Concentration
LAB
Simulat ion
0
4000
8000
12000
16000
20000
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10
20
30
40
50
60
70
80
90
100
0 5 10 15 20
GOR
RF%
Time (hr.)
RF&GOR VS TIME
RF% observationRF% SimulatedGOR Simulated
0
0.2
0.4
0.6
0.8
1
1.2
1.4
0 0.5 1 1.5 2 2.5
∆P a
tm
PVi
∆P VS PVi
observation
Simulated
0
10
20
30
40
50
60
70
80
90
100
0 5 10 15 20 25
conc
entr
atio
n
TIME (hr.)
C02 Concentration
LAB
Simulat ion0
10
20
30
40
50
60
70
80
90
100
0 5 10 15 20 25
conc
entr
atio
n
TIME (hr.)
N2,C1 ConcentrationLAB
Simulat ion
• 1st experiment at P =2000 psia (immiscible case)
• Overall match is good with some exceptions at the late C5+ concentration after the B.T.
• Perfect simulation of CO2 concentration with time.
• Measured RF at the end of experiment is 41.5% (predicted is 42.8 %)
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Slim Tube Model Results – Lumped Compositional Model
0
0.2
0.4
0.6
0.8
1
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Krg
Sg
Relative Permeability curves vs pressure
Modeling Concept of Other Slim Tube Experiments
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Once the good match on the immiscible experiment at
2000 psia was achieved and all the adverse flow
factors have been taking into consideration, then the
miscibility mechanism of other slim tube experiments
at higher pressures were simulated with the IFT
change with the relative permeability curves concept
using the following equation.
K<= = FK<=?@@ + 1 − F K<=@?B
K<C = FK<C?@@ + 1 − F K<C@?B
miscible IFT = 0
Base Relative CurveIFT = 5 dyen/cm
F =σσE
F
σE= 5 dyen/cmN = 0.32
Slim Tube Model Results – Extended Vs Lumped Compositional Model
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• 2nd experiment at P =3000 psia(near miscible case)
• Overall match is quite good with some exceptions at the last few C5+ concentration measurements (likely measurement errors).
• Better simulation of the hump phenomenon with the extended compositional model .
• Measured RF at the end of experiment is 89% (predicted is 90 %)
0
5000
10000
15000
20000
25000
0
20
40
60
80
100
0 5 10 15 20
GOR
SCC/
SCC
RF %
TIME (hr.)
RF&GOR VS TIME RF Extended
RF Lab
RF Lumped
0
0.5
1
1.5
2
2.5
0 0.5 1 1.5 2 2.5
∆P a
tm
PVi
∆P VS PVi
ExtendedLabLumped
0
10
20
30
40
50
60
70
80
90
100
0 5 10 15 20 25
conc
entr
atio
n
TIME (hr)
C02 concentration
LABLumpedExtended
0
10
20
30
40
50
60
70
80
90
100
0 5 10 15 20 25
conc
entr
atio
n
TIME (hr)
N2,C1 concentration
LabLumpedExtended
0
2
4
6
8
10
12
14
16
18
20
0 5 10 15 20 25
conc
entr
atio
n
TIME (hr)
C5+ concentration
Lab
Lumped
Extended
Hump phenomena
Lab MMP=3125psia
Minimum Miscibility Pressure (MMP)
• The measured lab MMP is 3125 psia
• The Predicted MMP using 1D-model is exactly aligned with the measured figure (3125 psia)
• Different runs were conducted to simulate slim tube experiments at different pressures and an “S“ shape trend was pictured which is aligned with many literature findings.
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0
10
20
30
40
50
60
70
80
90
100
0 500 1000 1500 2000 2500 3000 3500 4000 4500
RF %
Pressure psia
RF VS Pressure
MMP=3125 psiaPres=2720 psia
RF≈78%
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ConclusionsR Perfect match was achieved for Amal conventional and special PVT experiments using both PR3 and SRK3
with the extended and Lumped compositional models (13 and 8 components, respectively).
R Match of only the conventional PVT data will not be enough to simulate the slim tube experiments. Therefore, it is essential to match both the conventional and special tests for EOR simulation studies.
R The relative permeabilities at higher pressure experiments are sensitive to IFT values, especially at low IFT value. These were simulated by the change of relative permeability with IFT (i.e. the base relative perm curves will approach to straight lines as the IFT approaches to zero).
R The measured produced gas C5+ concentration, especially at the end of some experiments, was dramatically deviated from the predicted data raising some doubts on the measurements.
R The hump phenomena before B.T. time was better simulated with the extended compositional model compared to the lumped model. This highlights the favorability of extended compositional model in future EOR simulation studies.
R Perfect match of all slim tube experiments from immiscible to miscible conditions (2000, 3000, 3600 and 4000 psia) was achieved indicating the validity and reliability of Amal phase behavior model.
R The multiple contact MMP pressure of Amal field, using CO2 as injection solvent, is around 3125 psia based on measured and predicted results.
RecommendationsThe following areas for future researches are recommended, utilizing the Amal phase behavior model developed in this study:
v Simulate and study the EOR core flood experiments conducted on Amal field, such as:
üInvestigate and assess the impact of core heterogeneity, viscous fingering and gravity overrides on CO2 injections
üidentify optimum CO2 slug size and sweep displacement efficiencyüInvestigate and assess the optimum WAG process for Amal field
vConduct EOR sector model simulation studies
vConduct EOR pilot study on area of Amal field that is representing the average field properties.
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SPE -182793-MS