Lattice Boltzmann Simulation For Complex Fluid In Porous Media

Fluids flow in porous media is a common phenomenon in nature, and is encountered in various disciplines, such as civil engineering, chemical engineering, reservoir engineering, agricultural engineering, prevention of subsoil water pollution, complicated fluid flow in biont, and other related topics. So a better understanding of fluids flow in porous media is of great significance. As the porous structure of the media is very complex and the governing equations are highly nonlinear, some of the flow properties are extremely difficulty to determine accurately with experimental techniques and theoretical method. With the development of computer technology, numerical simulation has gradually become an important and useful method to study fluids flow in porous media.Recently, the Lattice Boltzmann Method (LBM) has developed into a new tool for simulating fluids flow and modeling complicated physical phenomena. Unlike the traditional Computational Fluid Dynamics (CFD) methods based on macroscopic continuum equations, LBM is based on microscopic model or mesoscopic kinetics equations. Compared with the traditional CFD methods, LBM has many unique advantages, such as simple codes, easy implementation of boundary conditions, and fully parallelism. These features make LBM apply successfully to many fields, especially for fluids flow in porous media. In this dissertation, we apply the LBM to simulate the complicated dynamics in porous media, and some useful discussions are also given in this dissertation.The dissertation covers four main parts:1. The basic theoretics of LBM (Chapter 1 and 3): In this part, we systematically introduce the development of LBM and its application, the basic models and boundary condition treatments of LBM and it's realization. The...