This repository contains the data associated with the paper "A Hierarchy of Models for Simulating Experimental Results from a 3D Heterogeneous Porous Medium" to be published in Advances in Water Resources and currently available as a preprint on arXiv (https://arxiv.org/abs/1802.01978). These data include the information required to reproduce the results...
This repository contains the data associated with the paper "Steady-State Diffusion in a Spatially Varying Porous Medium" to be published in Advances in Water Resources. These data include the information and program scripts required to reproduce the results reported in the publication. In particular, the data set includes (1) COMSOL...
In this work we examine the dispersion of conservative tracers (bromide and fluorescein) in an experimentally constructed three-dimensional dual-porosity porous medium, and in the absence of adjustable parameters. The medium is highly heterogeneous (σ2 Y = 5.7), and consists of spherical, low-hydraulic-conductivity inclusions embedded in a high-hydraulic-conductivity matrix. The bi-modal...
In this work, we revisit the upscaling process of diffusive mass transfer of a solute undergoing a homogeneous reaction in porous media using the method of volume averaging. For linear reaction rate kinetics, the upscaled model exhibits a vis-à-vis correspondence with the mass transfer governing equation at the microscale. When...
One of the most significant challenges faced by hydrogeologic modelers is the disparity between the spatial and temporal scales at which fundamental flow, transport, and reaction processes can best be understood and quantified (e.g., microscopic to pore scales and seconds to days) and at which practical model predictions are needed...
Results are provided that highlight the effect of interfacial discontinuities in the
diffusion coefficient on the behavior of certain basic functionals of the diffusion, such
as local times and occupation times, extending previous results in [2, 3] on the behavior
of first passage times. The main goal is to obtain...