Abstract
We present a numerical simulation of non-Newtonian fluid flow in a twodimensional fracture network. The fracture is having constant mean aperture and bounded with Hurst exponent surfaces. The non-Newtonian rheology behaviour of the fluid is described using the Power-Law model. The lattice Boltzmann method is employed to calculate the solutions for non-Newtonian flow in finite Reynolds number. We use a constant force to drive the fluid within the fracture, while the bounceback rules and periodic boundary conditions are applied for the fluid-solid interaction and inflow outlflow boundary conditions, respectively. The validation study of the simulation is done via parallel plate flow simulation and the results demonstrated good agreement with the analytical solution. In addition, the fluid flow properties within the fracture network follow the relationships of power law fluid while the errors are becoming larger if the fluid more shear thinning.
Highlights
The study of fluid flow through fracture system is encountered in many industrial problems, such as solute transport problem [1, 2], enhanced oil recovery (EOR) [3] and many more
Compared with other traditional method like finite difference and finite element method, lattice Boltzmann method (LBM) is based on kinetic theory approach, it has some advantages especially when we deal with some complicated transport system in complex geometries [5]
LBM algorithm is easy for parallel computation [6]
Summary
The study of fluid flow through fracture system is encountered in many industrial problems, such as solute transport problem [1, 2], enhanced oil recovery (EOR) [3] and many more. We employed a lattice Boltzmann method (LBM) for the simulation of non-Newtonian fluids. A non-Newtonian fluid based on LBM model will be implemented in a fracture network. The power law rheology model is used to describe the non-Newtonian properties of the fluid [8, 9].
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