Systematic Upscaling (SU)is a new multiscale computational methodology for the accurate derivation of equations (or statistical relations) that govern a given physical system at increasingly larger scales. Starting at a fine (e.g., atomistic) scale where first-principle laws (e.g., differential equations) are known, SU advances, scale after scale, to obtain suitable variables and operational ru...

Only a small fraction of the high-dimensional parameter space that governs the occurrence of stable single-bubble sonoluminescence (SBSL) has been explored so far. We predict that decreasing the acoustic driving frequency f upscales SBSL. More specifically, at f ­ 5 kHz we expect more than 100 times as many photons per flash as at f ­ 20 kHz and a flash width of about 1000 ps. The application o...

Positive coupling effect in gas condensate reservoirs is assessed through a pure theoretical approach. A combination of linear stability analysis and long bubble approximation is applied to describe gas condensate coupled flow and relative permeability, thereof. The role of capillary number in gas condensate flow is clearly expressed through closed formula for relative permeability. While the m...

Mixed matrix membranes (MMMs) are attracting significant interest for pervaporation and gas separation applications. To better comprehend the impact of filler particles within polymer matrices, the species permeation mass transport was theoretically studied by numerical simulation using finite differences. The Fick’s second law of diffusion was solved for a three-dimensional MMM to obtain the c...

This work provides the derivation of a closed macroscopic model for immiscible two-phase, incompressible, Newtonian and isothermal creeping steady flow in rigid homogeneous porous medium without considering three-phase contact. The mass momentum upscaled equations are obtained from pore-scale Stokes equations, adopting two-domain approach where two fluid phases separated by an interface. averag...

Geochemical reaction rate laws are often measured using crushed minerals in well-mixed laboratory systems that are designed to eliminate mass transport limitations. Such rate laws are often used directly in reactive transport models to predict the reaction and transport of chemical species in consolidated porous media found in subsurface environments. Due to the inherent heterogeneities of poro...

Operator-based upscaling is a two-scale algorithm that speeds up the solution of the wave equation by producing a coarse grid solution which incorporates much of the local finescale solution information. We present the first implementation of operator upscaling for the elastic wave equation. By using the velocity-displacement formulation of the three-dimensional elastic wave equation, basis fun...

Klinkenberg permeability is an important parameter in tight gas reservoirs. There are conventional methods for determining it, but these methods depend on core permeability. Cores are few in number, but well logs are usually accessible for all wells and provide continuous information. In this regard, regression methods have been used to achieve reliable relations between log readings and Klinke...