Effective Behavior Near Clogging in Upscaled Equations for Non-isothermal Reactive Porous Media Flow

摘要: For a non-isothermal reactive flow process, effective properties such as permeability and heat conductivity change the underlying pore structure evolves. We investigate changes of for two-dimensional periodic porous medium grain geometry changes. consider specific shapes study evolution by solving cell problems numerically an upscaled model derived in Bringedal et al. (Transp Porous Media 114(2):371–393, 2016. doi: 10.1007/s11242-015-0530-9 ). In particular, we focus on limit behavior near clogging. The conductivities are compared to common porosity-weighted volume averaging approximations, find that geometric averages perform better than arithmetic harmonic isotropic media, while optimal choice anisotropic media depends degree direction anisotropy. An approximate analytical expression is found well conductivity. some commonly used approaches focusing limiting clogging, where fitted power law behave reasonably well. resulting macroscale equations tested case geochemical reactions cause clogging corresponding transport at Darcy scale. As pores clog paths shift away, conduction increases regions with lower porosity.