Speaker
Description
The storage of hydrogen, produced via water electrolysis, in a cementitious cavity offers a solution to the overproduction of electricity from wind farms. But chemical degradation, structural damage, loss of mechanical strength, and an increased leak risk could be caused by hydrogen infiltration into the materials. It is necessary to predict and prevent these issues to ensure safe and efficient storage.
This work aims to propose a Thermo-Hydro-Mechanical model that describes non-isothermal, compressible gas flow in a porous medium characterized by small deformations and porosity variations. Linear isotropic thermo-poroelastic constitutive laws are considered for the solid skeleton, assuming small temperature variations around a reference temperature, and thermal equilibrium is assumed between the fluid and the skeleton.
This model consists of a system of nonlinear PDEs representing the conservation of fluid mass, the conservation of entropy under reversible mechanical deformations, and the momentum conservation equation.
The energy estimates for the compressible flow provide control over the solution under certain assumptions. The numerical analysis is based on an implicit Euler scheme for time discretization and a two-point flux approximation (TPFA) scheme for space discretization. Particular attention is given to the definition of the discrete density at cell interfaces, which is crucial for preserving the energy estimates at the discrete level. Numerical experiments are conducted to validate the proposed scheme. We compute the errors between the numerical and analytical solutions, examine the evolution of pressure, temperature, and displacement field at different time values, and investigate the effects of compressibility and displacement on the solution behavior.
| Country | France |
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