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[1] We provide pore to Darcy-scale theoretical upscaling of solute transport in porous media and discuss the key theoretical elements underlying double-and multirate mass transfer formulations which are typically adopted to interpret laboratory-and/or field-scale transport experiments. We model pore-scale transport by considering advective and diffusive processes. The resulting mass balance equation is subject to volume averaging relying on an unsteady closure. This leads to a nonlocal in time continuum-scale twoequation transport model, which we compare against existing double-and multirate mass transfer formulations. Coefficients appearing in our upscaled model are expressed as functions of time and pore-scale geometry and velocity distribution. We analyze in detail the scenario associated with two-dimensional flow in a plane channel and discuss the temporal dynamics and the associated asymptotic behavior of the different effective coefficients appearing in the upscaled system of equations. The relative influence of the terms included in the continuum-scale model is quantitatively assessed.Citation: Porta, G., S. Chaynikov, M. Riva, and A. Guadagnini (2013), Upscaling solute transport in porous media from the pore scale to dual-and multicontinuum formulations, Water Resour.

This paper develops an analytical solution to assist in designing and sizing stormwater infiltration structures. As original elements, our solution allows to estimate the hydraulic head in the infiltration structure as a function of (1) storm temporal dynamics, making use of an appropriate intensity duration frequency (IDF) curve, (2) the model adopted to describe the response of the catchment to a given input rainfall, and (3) the evolution of the wetted front advancing in a homogeneous soil where the infiltration device is located. Our solution allows highlighting the effects of the various simplifications associated with existing formulations employed in the common engineering practice. Our results indicate that typically adopted methodologies based on the assumptions of a uniform infiltration rate and/or negligible flow rate along the lateral surface of the structure may lead to overestimating the key design parameters

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