S. OLADYSHKIN, M. PANFILOV

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Laboratoire d'Énergétique et de Mécanique
Théorique et Appliquée Ecole Nationale
Supérieure de Géologie Institut National
Polytechnique de Lorraine
STREAMLINE SPLITTING THE THERMO- AND HYDRODYNAMICS
IN COMPOSITIONAL FLOW THROUGH POROUS
MEDIAAPPLICATION TO H2-WATER IN RADIOACTIVE
WASTE DEPOSITS

• S. OLADYSHKIN, M. PANFILOV

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Sommaire
P r e s e n t a t I o n
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Introduction Physical description
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Hydrogen generation in a radioactive waste deposit
Gas generation
H2 CO2 N2 O2
Storage pressure growth - Initial
100 bar - Increased by H2
300 bar
Corrosion in storage tank
Waste storage
underground 900 - 1100m
Monitoring problem H2 transport through porous
media accompanied with radionuclides
Water
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Fluid structure
Phases
Gas
Liquid
H2 CO2 N2 O2 H20
Components
2 phases
Gas
Liquid
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Similar phenomena in an underground H2 storage
Well
Well
Hydrogen storage
GAS and LIQUID H20 H2 CO2 CH4
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Phase behaviour
Critical point
L
Initial state
G
L G
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Flow Model
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Compositional model
2 phases (gas liquid) N chemical components
Mass balance for each chemical component k
Momentum balance for each phase (the Darcy law)
Phase equilibrium
( the chemical potential)
or
Phase state
Closure relationships
or
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Limit contrast compositional model
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Canonical dimensionless form of the
compositional model
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Mathematical type of the system
Parabolic equation
Hyperbolic equation
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Characteristic parameters of a gas-liquid
system
gas flow
liquid flow
transport of basic chemical components
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Characteristic parameters of the system
Perturbation parameter
Perturbation propagation time
Reservoir depletion time
Parameter of relative phase mobility
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Limit behaviour
gas flow
liquid flow
transport of basic chemical components
Semi-stationarity p and C(k)
are steady-state, while s is non stationary
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Streamline HT-splitting
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Integration of the transport subsystem
Asymptotic contrast compositional model
gas flow
liquid flow
transport of basic chemical components
This subsystem can be integrated along
streamlines
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HT-splitting
Hydrodynamic subsystem (limit hydrodynamic model)
Thermodynamic subsystem (limit thermodynamic
model)
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Split Thermodynamic Model
variation of the total composition in an open
system
Properties
The thermodynamic independent system is
monovariant all the thermodynamic
variables depend on pressure only
The new thermodynamic model is valid along
streamlines
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Thermodynamic Delta-law
Due to the monovariance, the thermodynalmic
differential equations may be simplified to a
Delta-law
Delta-law
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Interpretation of the delta-law
Individual gas volume
Individual condensate volume
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Split Hydrodynamic Model
gas flow
liquid flow
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Validation to the limit thermodynamic model
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Validation of the Delta-law
F1
F2
These functions have been calculated using
Eclipse simulation data for a dynamic system
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Flow simulation Fluid properties
Phase plot
P
Initial conditions P0 315 bar T 363 K
Fluid composition CH4 H2 C10H22
T
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Flow simulation Flow problem
Well
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Validation of the Delta-law
Delta-law
These functions have been calculated using the
Eclipse simulation data
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Validation of the total limit thermodynamic model
Composition variation in an open thermodynamic
system
Liquid mole fractions
Gas mole fractions
Compositional Model (Eclipse) - points
Limit thermodynamic model - solid curves
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Finita