“…where the overline notation denotes filtered variables, φ is porosity field, and k is the local permeability of the porous regions. Recent studies show that the micro-continuum framework is well-suited to solve problems involving two characteristic length-scales (e.g., fractured media, micro-porous rocks) (Arns et al, 2005;Scheibe et al, 2015;Soulaine et al, , 2021Carrillo et al, 2020;Menke et al, 2020;Poonoosamy et al, 2020) and also to describe the movement of fluid/solid interfaces caused by dissolution/erosion and precipitation/deposition (Soulaine and Tchelepi, 2016;Soulaine et al, 2017;Molins et al, 2020) or by solid deformation due to swelling or fracturing (Carrillo and Bourg, 2019). Microcontinuum models are also able to simulate two-phase flow processes (Soulaine et al, 2018(Soulaine et al, , 2019Carrillo et al, 2020).…”