2012/02/17 by Florian Caro, F Caro, Caro, Florian +4
Engineering · Environmental Science · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Groundwater flow and contamination studies #Hydraulic Fracturing and Reservoir Analysis #Methane Hydrates and Related Phenomena #math.AP
paper · pdf · doi:10.48550/arxiv.1202.3820
Keywords: Degenerate system, nonlinear parabolic system, compressible flow, porous media
arxiv created 2012/02/17 · openalex publication_date 2012/02/17 · arxiv updated 2012/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Our goal is the mathematical analysis of a two phase (liquid and gas) two components (water and hydrogen) system modeling the hydrogen displacement in a storage site for radioactive waste. We suppose that the water is only in the liquid phase and is incompressible. The hydrogen in the gas phase is supposed compressible and could be dissolved into the water with the Henry's law. The flow is described by the conservation of the mass of each components. The model is treated without simplified assumptions on the gas density. This model is degenerated due to vanishing terms. We establish an existence result for the nonlinear degenerate parabolic system based on new energy estimate on pressures.