An Improved Porosity Calculation Algorithm for Particle Flow Code

Author:

Zhang Siyu1,Xin Xiankang123ORCID,Cui Yongzheng45,Yu Gaoming123

Affiliation:

1. School of Petroleum Engineering, Yangtze University, Wuhan 430100, China

2. Hubei Key Laboratory of Oil and Gas Drilling and Production Engineering, Yangtze University, Wuhan 430100, China

3. School of Petroleum Engineering, National Engineering Research Center for Oil and Gas Drilling and Completion Technology, Yangtze University, Wuhan 430100, China

4. State Key Laboratory of Offshore Oil and Gas Exploitation, Beijing 102299, China

5. CNOOC Research Institute, Beijing 102299, China

Abstract

The widely used discrete-element particle flow software PFC’s (PFC 7.0 and previous versions) algorithm for calculating porosity is not sufficiently accurate. Because of this, when the particles are densely packed, the solution to the equation produces an algorithm exception for odd calculations of porosity, which results in the inability to calculate the results. This paper, based on a Darcy seepage model of fluid flow through a granular bed, analyzed the shortcomings of the two porosity calculation methods of PFC and the function analysis method. Combining this analysis with the theory of computer graphics, a new and efficient porosity calculation algorithm was proposed. The result showed that the new proposed porosity calculation algorithm calculated a more accurate and reasonable porosity field and made the iterative solution of the CFD equation more stable. This method makes porosity-related models of PFC more accurate. The algorithm can be not only used to calculate porosity, but also applied to other fields.

Funder

National Natural Science Foundation of China

the 14th Five-Year Plan Major Science and Technology Project of CNOOC

Publisher

MDPI AG

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