Volume averaging for dispersion and heterogeneous nonlinear reaction in porous media
Abstract
In this study we conduct upscaling for mass transport in porous medium with heterogeneous nonlinear reaction at the fluid-solid interface in a multi-scale dissolution problem, using the method of volume averaging. We investigate the impact of flow properties, chemical features and nonlinear reaction orders on the effective parameters in the macro-scale model, which can be obtained by solving the corresponding closure problems. The importance of two non-traditional effective parameters is studied in an application.