Browsing Department of Mathematics by Journals "Advances in Water Resources"
Now showing items 1-4 of 4
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Dimensional reduction of a fractured medium for a two-phase flow
(Journal article; Peer reviewed, 2022)We consider a porous medium containing a single fracture, and identify the aperture to length ratio as the small parameter ɛ with the fracture permeability and the fracture porosity scaled as exponents of ɛ. We consider a ... -
Global random walk solvers for fully coupled flow and transport in saturated/unsaturated porous media
(Journal article; Peer reviewed, 2021)In this article, we present new random walk methods to solve flow and transport problems in saturated/unsaturated porous media, including coupled flow and transport processes in soils, heterogeneous systems modeled through ... -
Impact of time-dependent wettability alteration on the dynamics of capillary pressure
(Journal article; Peer reviewed, 2020)Wettability is a pore-scale property that has an important impact on capillarity, residual trapping, and hysteresis in porous media systems. In many applications, the wettability of the rock surface is assumed to be constant ... -
A pore network model for calculation of interfacial velocities
(Peer reviewed; Journal article, 2003)Two-phase flow in porous media is characterized by fluid-fluid interfaces that separate the fluid phases at the pore scale. These interfaces support pressure differences between phases, and their dynamics allow for saturation ...