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- Mladen Jurak, Farid Smaı
- 2008

We derive a compositional compressible two-phase, liquid and gas, flow model for numerical simulations of hydrogen migration in deep geological repository for radioactive waste. This model includes capillary effects and the gas high diffusivity. Moreover, it is written in variables (total hydrogen mass density and liquid pressure) chosen in order to be… (More)

- Brahim Amaziane, Alain Bourgeat, Mladen Jurak
- Multiscale Modeling & Simulation
- 2006

Homogenization method is used to analyse the equivalent behavior of transient flow of a passive solute through highly heterogeneous porous media. The flow is governed by a coupled system which includes an elliptic equation and a linear convection-diffusion concentration equation with a diffusion term small with respect to the convection, i.e. a high Peclet… (More)

- Alain Bourgeat, Mladen Jurak, Farid Smaı
- 2010

We present a compositional compressible two-phase, liquid and gas, flow model for numerical simulations of hydrogen migration in deep geological radioactive waste repository. This model includes capillary effects and the gas diffusivity. The choice of the main variables in this model, Total or Dissolved Hydrogen Mass Concentration and Liquid Pressure, leads… (More)

- Brahim Amaziane, Mustapha El Ossmani, Mladen Jurak
- Computat. and Visualiz. in Science
- 2012

In this paper a finite volume method approach is used to model the 2D compressible and immiscible two-phase flow of water and gas in heterogeneous porous media. We consider a model describing water-gas flow through engineered and geological barriers for a deep repository of radioactive waste. We consider a domain made up of several zones with different… (More)

We present a robust and accurate strategy for upscaling two-phase flow in heterogeneous porous media composed of different rock-types. The method is tested by means of numerical simulations and compared with other upscaling methods.

- Brahim Amaziane, Mladen Jurak, Ana Zgaljic Keko
- J. Computational Applied Mathematics
- 2012

We present an approach and numerical results for a new formulation modeling immiscible, compressible two-phase flow in heterogeneous porous media with discontinuous capillary pressures. The main feature of this model is the introduction of a new global pressure and it is fully equivalent to the original equations. The resulting equations are written in a… (More)

- Mladen Jurak, Žarko Prnić
- 2005

When highly viscous oil is produced at low temperatures, large pressure drops will significantly decrease production rate. One of possible solutions to this problem is heating of oil well by hot water recycling. We construct and analyze a mathematical model of oil-well heating composed of three linear parabolic PDE coupled with one Volterra integral… (More)

- POROUS MEDIA, BRAHIM AMAZIANE, MLADEN JURAK
- 2006

The homogenization method is used to analyze the global behavior of passive solute transport through highly heterogeneous porous media. The flow is governed by a coupled system of an elliptic equation and a linear convection-diffusion concentration equation with a diffusion term small with respect to the convection, i.e., with a relatively high Peclet… (More)

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