Fluid dynamics in porous media with Sailfish

Abstract

Abstract. In this work we show the application of Sailfish to the study of fluid dynamics in porous media. Sailfish is an open-source software based on the latticeBoltzmann method. This application of computational fluid dynamics is of particular interest to the oil and gas industry and the subject could be a starting point for an undergraduate or graduate student in physics or engineering. We built artificial samples of porous media with different porosities and used Sailfish to simulate the fluid flow through in order to calculate permeability and tortuosity. We also present a simple way to obtain the specific superficial area of porous media using Python libraries. To contextualize these concepts, we test the Kozeny-Carman equation, discuss its validity and calculate the Kozeny's constant for our artificial samples.

Fully dissipative relativistic lattice Boltzmann method in two dimensions

“…The lattice Boltzmann method [21] (LBM) is a numerical technique based on the Boltzmann equation and on the Gaussian quadrature, which have been successfully applied to model classical fluids [22,23], governed by the Maxwell-Boltzmann (MB) distribution, and also to semi-classical [24,25,26] and relativistic fluids. For classical fluids, it has been demonstrated that the hydrodynamic equations can be fully recovered by the LBM if the equilibrium distribution function (EDF) is expanded in orthogonal polynomials up to a minimum order that retains the necessary moments [27,28].…”

A lattice Boltzmann method based on generalized polynomials and its application for electrons in metals

“…2b we see a clear linear relations between the applied force and the average velocity in the directions of the force. This proportionality can be interpreted as the Ohms law (for electrons in metals) or as the Darcy's law (for classical fluid in a porous media) [24]. The black circles are the obstacles and the gradient represents the magnitude of the velocity field, where the lighter the color, the higher the velocities.…”

Flow through time-evolving porous media: swelling and erosion

“…In many natural and industrial processes such as groundwater transport, food grain drying, and oil or coffee extraction, a fluid flows through a network of channels (porous medium) that significantly constrain the flow [1]. Several types of fluid/medium interaction are possible.…”