Two-Dimensional Network Simulation of Diffusion-Driven Coarsening of Foam Inside a Porous Medium

摘要: Abstract In order to use foams in subsurface applications, it is necessary understand their stability porous media. Diffusion-driven coarsening of a stationary or nonflowing foam medium results changing gas pressures and the texture. A two-dimensional network simulation has been created that predicts behavior by physically specifying locations all lamellae system solving complete set Young–Laplace diffusion equations. An hourglass approximates shape pores, pore walls are considered be highly water wet. singularity arises differential algebraic equations due curvature walls. This signal must undergo oscillations sudden lamellar rearrangements before process can continue. Newton–Raphson iteration used along with Keller's method arc-length continuation new jump resolution technique locate resolve bifurcations coupled lamellae. Gas bubbles throats regions encapsulated pressure. As released from these during diffusion, pressure bodies increases. When increase scaled characteristic pressure, equilibrium time for ratio square length diffusivity two dimensionless groups. One describes ease which diffuse through lamella, second represents amount within initially. Given this scaling, resulting plots versus normalized positions universal sizes characteristics. true as long initial lamella distribution same each case.