Upscaling solute transport in porous media from the pore scale to dual‐ and multicontinuum formulations

摘要: [1] We provide pore to Darcy-scale theoretical upscaling of solute transport in porous media and discuss the key elements underlying double- multirate mass transfer formulations which are typically adopted interpret laboratory- and/or field-scale experiments. We model pore-scale by considering advective diffusive processes. The resulting balance equation is subject volume averaging relying on an unsteady closure. This leads a nonlocal time continuum-scale two-equation model, we compare against existing formulations. Coefficients appearing our upscaled expressed as functions geometry velocity distribution. analyze detail scenario associated with two-dimensional flow plane channel temporal dynamics asymptotic behavior different effective coefficients system equations. relative influence terms included quantitatively assessed.