Asymptotic hydrodynamic homogenization and thermodynamic bounds for upscaling multiphase flow in porous media

This paper presents a novel technique for upscaling multiphase fluid flow in complex porous materials that combines asymptotic homogenization approach with hydrodynamicand thermodynamic bounds. Computational has been widely utilised solid mechanics as method analysing multiscale expansion and convergence coefficients heterogeneous systems. Computations are performed over several volumes by increasing the size until of material parameters under different load scenarios is achieved. It works simplifying problem ideally suited estimating representative elementary volume microporous expanding algorithms. The validity to include hydrodynamic processes their interaction matrix structure media lacks sound theoretical foundation. To overcome this problem, variational used. Upper lower bounds entropy production proposed provide effective properties uncertainties. allows multiple possibilities address dynamics via thermodynamically linked processes. work utilizes model models based on micro-computerized tomography x-ray data Bentheimer sandstone Savonnieres carbonate. found sizes obtained conventional methods do not satisfy which consistently require larger sizes. For carbonate entropic have converged fully questioning reliability from classical method. Document Type: Original article Cited as: Hussain, S. T., Regenauer-Lieb, K., Zhuravljov, A., F., Rahman, Asymptotic media. Advances Geo-Energy Research, 2023, 9(1): 38-53. https://doi.org/10.46690/ager.2023.07.05