Simulation de l’injection de carbone dans un site géologique de séquestration du CO 2
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Transcript of Simulation de l’injection de carbone dans un site géologique de séquestration du CO 2
Journée Castem , 25/11/09
Simulation de l’injection de carbone dans un site géologique
de séquestration du CO2
Mohamed HAYEK, Emmanuel MOUCHE and Claude MÜGLER
Laboratoire des Sciences du Climat et de l’EnvironnementCommissariat à l’Energie Atomique
Orme des MerisiersF-91191 Gif-surYvette, FRANCE
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Sleipner, Mer du Nord
et
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CO2 sequestration in the Sleipner field
CO2 Stratification: How and why does it take place ?
Projet ANR (BRGM, IFP, ICMCB, Schlum.) Simulation results (Pruess et al. 2002)
Schematic representation of Utsira aquifer (Sleipner site)
Seismic profiles (Bickle et al. 2007)
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Outlines
The 1D case (injection in vertical column)
• Solution analysis between two different homogeneities • Injection in vertical periodic layered column
The 2D Vertical case (Sleipner)
• Numerical simulation (code Cast3M)• Theoretical analysis
Gravity + Capillarity
The model
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Buckley-Leverett with gravity including capillarity effects
2( ) 0
CO
SF S
t z
2
2
2
2
2
( ) ( )
( )( ) ( )
CO
COCO
CO
CO
r rw
w
r rw
w
k S k S
f Sk S k S
2COSS
( ) ( )cp S J Sk
1
( ) 1J S Se
2 2 22
2 2 2
( )( ) ( ) ( ) ( )
( ) ( ) ( ) ( ) ( )
CO CO CO CO
CO CO CO
cw
w
p SF S k gf S kf S
zS
k gf S f S k z J Sz
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Relative Permeability laws
Linear Brooks-Corey Van Genuchten
)1(1 /)2(2
/)32(
SeSek
Sek
rnw
rw
rnwrw
rw
SS
SSSe
1
rwrnw
rw
kk
Sek
1 mmrnw
mmrw
SeSek
SeSek2/1
2/1
11
))1(1(
=1/2, =1/3 et m=0,457
R. Helmig, Multiphase flow and transport processes in the subsurface, Springer-Verlag 1997.
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kr(S), f(S) & G(S)
f(S)
G(S)
kr(S)
S0 0.5 1
G(S)
0.25 Lin.BC
BC
VG
VG
Lin.
BC VG
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*1 1 2 2 1
*2 1
, if S S
0, if 0c cp S p S
S S S
medium 1
medium 2
Capillarity : Leverett law
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CO2 injection
v
Injection in a vertical layered columnBuckley Leverett with gravity
shale
Sand
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Injection in a periodic layered vertical column
high permeability
low permeability
Sand
Shale
low permeability
high permeability
Shale
Sand
Case 2
Case 1
v
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1
2
v
Case 1: (k1 > k2)
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1
2
v
Case 2: (k1 < k2)
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1
2
1
2
1
2
1
2
1
v
Injection in a vertical periodic layered column
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Simulation (Cast3M, CEA)
CO2 accumulation beneath each layer !!!
injection well
Shale layers
Lower shale (impermeable)
2D vertical formation of Sleipner type
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non-constant velocityvertical cut at the injection well
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Evolution of a plume in a periodic column withHeterogeneity of relative permeability laws
1 2 1 2 1 2
)1(1 /)2(2
/)32(
SeSek
Sek
rnw
rw
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Gravity alone: one condition at the interface (Flux continuity)
Gravity + Capillarity: two conditions at the interface - Flux continuity - Extended pressure condition (Van Duijn et al., 1995)
medium 1
medium 2
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Our simulations (Cast3M)
Gravity alone Gravity + capillarity
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Siddiqui & Lake (SPE, 1997)
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Conclusion
• Upscaling in periodic layered porous media & Influence of relative permeability heterogeneity , submitted AWR.
• Collab. Avec IFP code COORES , pbme grav + capill..
M. Hayek, E. Mouche and C. Mugler, Modeling vertical stratification of CO2 injected into a deep heterogeneous saline aquifer with a Buckley-Leverett equation in presence of gravity. (Advances in Water resources, 2009)