Simulation Of Fluid Flows And Heat Transfer In Porous Media At Pore Scale Via Smoothed Particle Hydrodynamics

In nature and many industrial applications, involve flow in porous media, such as oil exploration etc. For the industry of oil exploration in our country, Enhanced Oil Recovery (EOR) has great potency. In the present study about the fluid flows in porous media, two scales are mainly related, Pore Scale and Representative Elementary Volume Scale. In practice, modeling of fluid flow in porous media is generally conducted by using the Darcy’s law. The Darcy’s law is a macroscopic phenomenological model, which is largely based on experimental observations. In this law, the complex interactions between fluids and microscopic porous structures are all lumped in a macroscopic physical quantity—the permeability tensor, k, which contains many parameters of the porous medium and fluid. To determine these parameters, it is necessary to have a reasonable description and an accurate prediction of fluid flows in porous media at pore scale. Therefore, more research for the property of the fluid flow in porous media at pore scale, to establish a REV model with clear physical background and solid foundation of mathematics is undoubtedly has great significance.This paper has studied the mechanism of the permeability, numerically simulated mass and heat transfer of the flows in porous media with the hope of helping to seek the most reasonable methods of oil recovery. In this paper, based on the porous media model, smoothed particle hydrodynamics (SPH) is employed to model the incompressible fluid flow in porous media and to study the flow characteristic at pore scale. First, the classic Poiseuille flow and Couette flow are investigated to validate of the SPH method. And then, the fluid flow in the regular porous media constructed by square and circle cylinders respectively, are simulated by both FEM and SPH. The simulation results yield to a good agreement. At last, the fluid flow in a artificial randomization porous media model constructed by the circular grains of same size, and in the Berea sandstone are simulated at the same time and a linear relationship between the average flow velocity and the body force is found.And then SPH method is developed for two phase flow. The Laplace’s law is verified. Finally, the SPH method is used to study the heat conduction problems. The accuracy of SPH method is proved by series examples. The thermal conductivity of porous media is studied, the results is good.