Core Ideas The numerical solution of Richards' equation remains challenging. Space/time
discretization affects both computational effort and accuracy. Adaption of space and time …

Accurate modeling of variably saturated flow (VSF) in fractured porous media with the
discrete fracture-matrix (DFM) model is a computationally challenging problem. The …

Geological CO 2 sequestration (GCS) remains the main promising solution to mitigate global
warming. Understating the fate of CO 2 behavior is crucial for securing its containment in the …

Abstract Three-dimensional (3D) natural convection (NC) processes in heterogeneous
porous media and associated energy losses and mixing processes are still poorly …

We present a new, high-order, control-volume-finite-element (CVFE) method for multiphase
porous media flow with discontinuous 1st-order representation for pressure and …

Problems of interest in hydrogeology and hydrocarbon resources involve complex
heterogeneous geological formations. Such domains are most accurately represented in …

Fluid flow in a charged porous medium generates electric potentials called streaming
potential (SP). The SP signal is related to both hydraulic and electrical properties of the soil …

Non-planar fractures are often created in hydraulic fracturing. These irregular shape
fractures may reduce the penetration into the formation; they may also improve the reservoir …

A novel, non-invasive imaging technique is proposed that determines 2D maps of water
content in unsaturated porous media. This method directly relates digitally measured …

Richards equation for variably saturated flow can exhibit stability problems due to its
nonlinearity. The challenge is to resolve sharp wetting fronts without introducing spurious …