2018/07/18 by Francisco Mandujano Carlos Málaga, Málaga, Francisco Mandujano Carlos
Engineering · Environmental Science · Physics and Astronomy · #Drilling and Well Engineering #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Groundwater flow and contamination studies #Lattice Boltzmann Simulation Studies #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1807.06737
10 pages, 3 figures
arxiv created 2018/07/18 · openalex publication_date 2018/07/18 · arxiv updated 2018/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The problem of the flow trough a porous media is formulated in terms of a pressure equation, based on arguments of volume conservation which state the mechanical equilibrium between the solid and the fluid phases. In the resulting governing equations, the conservation of mass is replaced by a transport-diffusion equation for the pressure field. When the deformation of the solid matrix is negligible, the pressure equation can be approximated by a non-linear diffusion equation. The behavior of the system of equations is tested under an oscillatory pressure gradient.