A macroscopic theory for capillarity in porous media is presented. The capillary pressure function in this theory is not an input parameter but an outcome. The theory is based on introducing the trapped or residual saturations as state variables. It allows to predict spatiotemporal changes in...

This paper reports progress in the 3D pore-scale micro-CT imaging of multiple fluid phases during drainage experiments in porous materials. Experiments performed on a sintered monodisperse bead pack and a Berea sandstone sample are described. It is observed that the residual (trapped) wetting...

Risk is the product of the probability and consequences of an event. Both of these must be based upon sound science that integrates field data, experiments, and modeling, but must also be useful to decision makers who likely do not understand all aspects of the underlying science. We review a...

Inverse modeling is a technique to derive model-related parameters from a variety of observations made on hydrogeologic systems, from small-scale laboratory experiments to field tests to long-term geothermal reservoir responses. If properly chosen, these observations contain information about...

iTOUGH2 provides inverse modeling capabilities for the TOUGH2 family of nonisothermal multiphase flow simulators. It can be used for a formalized sensitivity analysis, parameter estimation by automatic model calibration, and uncertainty propagation analyses. While iTOUGH2 has been successfully...

Based on the equations, constitutive relations and boundary conditions of the kinetic theory of colliding particles in a gas-solid suspension, the approximate theory of the steady, developed vertical flow of a gas-particulate mixture is developed for the case of moderate gas pressure gradient in...

In this paper, we present a numerical model based on the widely used finite element formulation to analyze in detail the effect of surface active agents on capillary–gravity wave parameters such as phase velocity and wave amplitude. Moreover, the effect of a physicochemical parameter, which is...

The Lattice Boltzmann method (LBM) has proven to be a promising approach in handling multiphase flow problems. In the most widely applied pseudopotential-based LBM multiphase models, multiphase effects can be added in the form of forces, which is further divided into two aspects of force...

To gain understanding of the two-phase vertical gas–solid flow behaviour, the equations of gas–solid suspension flow are used to develop a model to predict the radial profiles of the volumetric fraction and the velocity of the solid particles. We derived two coupled differential equations...

A dyadic grid is a d-dimensional hierarchical mesh where a cell at level k is partitioned into two equal children at level k+1 by a hyperplane perpendicular to coordinate axis (kmodd). We consider here the finite element approach on adaptive grids, static and dynamic, for various functional...