**Numerical Test
Data Base**

The
benchmarks presented here are intended to address the main problems
we noticed when we started to simulate two phases (liquid, gas) two
components (water, H2) flows in porous media , like it may appear in
underground nuclear waste disposals.

We are greatly interested by
a diffusion-dispersion of these benchmarks as large as possible and
we are interested in any feed-back (numerical results, remarks,
critics,...) from those who have tried them. Propositions of
improvement for these benchmarks and propositions of new ones, in the
same spirit (see the aims), are welcome.

*Vous
trouverez ici une première batterie de tests recensant les
premiers problèmes identifiés dans la simulation des
écoulements diphasiques liquide/gas, bicomposants H2/Eau tels
que ceux rencontrés dans le stockage en milieux poreux
souterrains. L'équipe de l'UCBLyon qui les a mis au point
est intéressée par une diffusion la plus large
possible, et apprécierait tous les retours de calculs et
remarques, afin d'avoir une discussion intéressante et
éventuellement des propositions de modification de ces tests
ou même de nouveaux tests (toujours dans le même esprit).*

Please contact Alain Bourgeat for remark and test-case submission.

**LINKS**

Benchmark on two-phase flow in porous media:presentation of 3 tests

S.Granet, B.Amaziane, Alain Bourgeat (ICJ), F.Caro.

Modelling and Numerical Simulation of Gas Migration in a Nuclear Waste Repository

Alain Bourgeat (ICJ), Mladen Jurak, Farid Smai (ICJ). see arXiv

Couplex-Gas: test case 1, test case 2

**AIMS**

The aim of the test-cases presented below and in [1] is to address the specific problems encountered in numerically simulating gas migration in underground nuclear waste repository (compressible and partially miscible two-phase flow in porous media) ; see Couplex-Gas (1) and (2). Because we are mainly interested in the difficulties coming from the physic, we keep in all the test cases a simple geometry corresponding to a quasi 1-D flow. Each of the test-cases is addressing a different problem.

**Problem
1)**

Gas(H2)-phase appearance/disappearance for a compressible and partially miscible two-phase flow in a homogeneous porous media ; due to injection of H2.

Injection in a porous media initially fully saturated with pure water (see document and results : 1)

Injection in a porous media initially partially saturated with liquid ( water and dissolved H2) (see document and results : 1)

**Problem
2)**

Compressible and partially miscible two-phase flow in a non homogeneous porous media (two adjacent parts, with vertical interface) ; starting from partially liquid saturated state (at equilibrium) , with uniform pressures in all space. The flow is produced by a constant H2 injection on the left hand side of the porous domain. (see document and results : 1a ; 1b)

**Problem
3)**

Compressible and partially miscible two-phase flow in a homogeneous porous media ; starting from two adjacent partially liquid saturated zone with two different uniform pressures (non equilibrium states). The flow is produced by relaxation of the initial non equilibrium. (see document and results : 1a ; 1b)

**Problem
4)**

This test-case addresses the evolution of a quasi 1-D immiscible two-phase flow (water and air), with no phase change and no dissolution, through two adjacent parts of porous media , with vertical interface ; starting from non-equilibrium (water saturation =1 in one part and 0.77 in the other part ; same air pressure). (see document)

**Problem
5)**

This test-case addresses the 2-D evolution of a two-phase two-component flow in a heterogeneous porous media (two adjacent parts, with horizontal interface) initially fully saturated with pure water. The flow is produced by a hydrogen source located near the interface between the two materials. (see document and results : 1)

**In order to make comparison of
results possible, it is recommended, with any result, to precise :**

**The mathematical model (equations, variables) on which are based the simulations****The numerical and discretization methods, the meshes and the time step , used in simulations.**