Hydraulic fracturing of unconventional oil/gas shales has changed the energy landscape of
the US Recovery of hydrocarbons from tight, hydraulically fractured shales is a highly …

A mathematical model is presented for advective-diffusive-reactive solute transport due to
non-Newtonian fluid flows in a fracture surrounded by a tight porous medium. The …

Abstract Systems dominated by heterogeneity over a multiplicity of scales, like porous
media, still challenge our modeling efforts. The presence of disparate length-and time …

The combined electro-osmotic and pressure-driven flows (PDFs) have pronounced impacts
on the solute transport in permeable porous media, particularly mixing and separation …

Solute transport in a conduit (channel or tube) adjacent to a porous medium is drastically
influenced by the porous walls. However, an appropriate relationship between the porous …

A reduced-order model for the advective-dispersive mass transfer due to a variety of flow
velocity profiles in a porous-walled microfluidic channel is developed in this study. The fluid …

Dispersion in porous media is of great importance in many areas of science and
engineering. While dispersion in porous media has been generally well discussed in the …

Flow resistance caused by vegetation is a key parameter to properly assess flood
management and river restoration. However, quantifying the friction factor or any of its …

We introduce the concept of a Graph-Informed Neural Network (GINN), a hybrid approach
combining deep learning with probabilistic graphical models (PGMs) that acts as a surrogate …

An expression is analytically presented for the shear dispersion, or Taylor and Aris
dispersion, of a solute transporting in a coupled system, which consists of a matrix and a …