Macroscopic models for filtration and heterogeneous reactions in porous media
نویسندگان
چکیده
منابع مشابه
Simple Filtration Using Porous Media
This work is a study of the movement of particles, one at a time, through a fixed filter. Various assumptions are made about particle and pore sizes, pore selection rules and filter configurations. This report is divided into three main sections: The first studies the filter by analyzing its layers both in a qualitative sense and by computational simulations. The next studies the filter through...
متن کاملMacroscopic capillarity and hysteresis for flow in porous media.
A macroscopic theory for capillarity in porous media is presented, challenging the established view that capillary pressure and relative permeability are constitutive parameter functions. The capillary pressure function in the present theory is not an input parameter but an outcome. The theoretical approach is based on introducing the residual saturations explicitly as state variables [as in Ph...
متن کاملA “v2-f Based” Macroscopic K-Ε Model for Turbulent Flow through Porous Media
In this paper a new macroscopic k-ε model is developed and validated for turbulent flow through porous media for a wide range of porosities. The morphology of porous media is simulated by a periodic array of square cylinders. In the first step, calculations based on microscopic v2 − f model are conducted using a Galerkin/Least-Squares finite element formulation, employing equalorder bilinear ve...
متن کاملHomogenized Models for a Short-time Filtration and for Acoustic Waves Propagation in a Porous Media
Abstract. We consider a linear system of differential equations describing a joint motion of elastic porous body and fluid occupying porous space. The rigorous justification, under various conditions imposed on physical parameters, is fulfilled for homogenization procedures as the dimensionless size of the pores tends to zero, while the porous body is geometrically periodic and a characteristic...
متن کاملApplicability regimes for macroscopic models of reactive transport in porous media.
We consider transport of a solute that undergoes a nonlinear heterogeneous reaction: after reaching a threshold concentration value, it precipitates on the solid matrix to form a crystalline solid. The relative importance of three key pore-scale transport mechanisms (advection, molecular diffusion, and reaction) is quantified by the Péclet (Pe) and Damköhler (Da) numbers. We use multiple-scale ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Water Resources
سال: 2020
ISSN: 0309-1708
DOI: 10.1016/j.advwatres.2020.103605