Study on flow parameters of fractal porous media in the high-velocity fluid flow regime

1st International Global on Renewable Energy and Development

Qi, Mei^1 ; Xu, Hui^1 ; Yang, Chao^1 ; Qu, Tailai^1 ; Kong, Lingxiao^1 ; Wu, Shucheng^1 ; Zeng, Baoquan^1 ; Xu, Haixia^1

PetroChina Research Institute of Petroleum Exploration and Development, Beijing

100083, China^1

关键词: Analytical expressions;    Empirical constants;    Fractal porous media;    High-velocity flows;    Permeability-porosity relation;    Resistance modeling;    Structural parameter;    Theoretical modeling;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/100/1/012002/pdf
DOI  :  10.1088/1755-1315/100/1/012002

来源: IOP

【 摘 要 】

High-velocity fluid flow, which will result in the region of the wellbore or fracture, is generally in the turbulent flow regime and has drawn tremendous attention in petroleum engineering field. Turbulent factor is the key parameter, which is widely used to describe high-velocity flow in porous media. In this work, a theoretical model for turbulent factor in fractal porous media in the high-velocity fluid flow regime is developed. Moreover, a novel analytical expression for the permeability in porous media based on Wu's resistance model is also derived. Then, the analytical Kozeny-Carman constant with no empirical constant is obtained. The predictions of permeability-porosity relation by the current mathematical models have been validated by comparing with available experimental data. Furthermore, the effects of structural parameters of porous media on the curve of velocity and pressure drop are discussed in detail.