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S. OLADYSHKIN, M. PANFILOV

Laboratoire d'Énergétique et de Mécanique Théorique et Appliquée Ecole Nationale Supérieure de Géologie Institut National Polytechnique de Lorraine.

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S. OLADYSHKIN, M. PANFILOV

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  1. 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

  2. Introduction Limit compositional model Flow Model Streamline HT-splitting Validation to the limit thermodynamic model Sommaire P r e s e n t a t I o n

  3. Introduction Physical description

  4. 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

  5. Fluid structure Phases : Gas Liquid H2 CO2 N2 O2 H20 … Components : 2 phases Gas Liquid

  6. Similar phenomena in an underground H2 storage Well Well Hydrogen storage GAS and LIQUID H20 + H2+CO2+ CH4+ …

  7. Phase behaviour Critical point L G Initial state L + G

  8. Flow Model

  9. 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

  10. Limit contrast compositional model

  11. gas flow liquid flow transport of basic chemical components Canonical dimensionless form of the compositional model

  12. Mathematical type of the system Parabolic equation Hyperbolic equation

  13. Characteristic parameters of a gas-liquid system gas flow liquid flow transport of basic chemical components

  14. Characteristic parameters of the system Perturbation parameter: Perturbation propagation time Reservoir depletion time Parameter of relative phase mobility:

  15. 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

  16. Streamline HT-splitting

  17. A differential thermodynamic system 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 :

  18. HT-splitting Hydrodynamic subsystem (limit hydrodynamic model): Thermodynamic subsystem (limit thermodynamic model):

  19. 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

  20. Thermodynamic “Delta-law” Due to the monovariance, the thermodynalmic differential equations may be simplified to a “Delta-law”: “Delta-law”

  21. Interpretation of the delta-law Individual gas volume Individual condensate volume

  22. Split Hydrodynamic Model gas flow liquid flow

  23. Validation to the limit thermodynamic model

  24. Validation of the Delta-law F1 F2 These functions have been calculated using Eclipse simulation data for a dynamic system

  25. Flow simulation: Fluid properties Phase plot P Initial conditions: P0 = 315 bar T = 363 K Fluid composition CH4 H2 C10H22 T

  26. Flow simulation: Flow problem Well

  27. F1 F2 Validation of the Delta-law “Delta-law” These functions have been calculated using the Eclipse simulation data

  28. 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

  29. Finita

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