Statistical Characterization of Irregular Fine Sand Particles and Numerical Simulation of the Corresponding 2-D and 3-D Models

被引：3
作者：
Wang H. [1 ]
Yu J. [1 ,2 ]
Yu Y. [1 ]
Tan Y. [1 ,2 ]
Li X. [1 ,2 ]
Feng Z. [3 ]
机构：
[1] State Key Laboratory of Hydraulic Engineering Simulation and Safety(Tianjin University), Tianjin
[2] Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai
[3] Institute of Mechanical and Marine Engineering, Qinzhou University, Qinzhou
来源：
Tianjin Daxue Xuebao (Ziran Kexue yu Gongcheng Jishu Ban)/Journal of Tianjin University Science and Technology | 2019年 / 52卷 / 04期
关键词：
Erosion; Numerical simulation; Quartz sand; Statistical analysis;
D O I：
10.11784/tdxbz201805005
中图分类号：
学科分类号：
摘要：
Considering the problem of solid particle erosion in oil and gas pipelines, this paper proposes a numerical simulation method that can simulate the actual shape of two-dimensional (2-D) and three-dimensional (3-D) fine sand. According to the scanning electron microscopy test results of irregular natural quartz sand particles combined with image processing techniques and mathematical statistics methods, the distribution types and distribution parameters of in-plane shape of irregular sand particle were obtained. The experimental results show that the perimeter (p), planar projection area (A), equivalent diameter (D), major axis length (Lmaj), and minor axis length (Lmin) of equivalent ellipse follow a lognormal distribution or generalized extreme value distribution (GEV) whereas the aspect ratio (AR) follows the GEV distribution. Based on the statistical analysis of the test results, the inherent relation between the major and minor axes and the relation between the area, perimeter, and major and minor axes were considered and a new numerical method for 2-D irregular sand particles was proposed. Based on the 2-D simulation results and the distribution of the thickness of fine sand, a 3-D modeling method for stochastic fine sand was proposed. Both the 2-D and 3-D finite element models of sand particle were established within the framework of ABAQUS by a user-defined Matlab and Python program. The results indicated that the proposed method not only considers the inherent relation between the distribution parameters but also features high simulation accuracy. A reasonable finite element model of sand particles can be constructed according to the existing distribution parameters of sand. Additionally, the proposed method can be used to simulate complicated quartz sand particles. A 3-D model of particles without sharp corners is realized based on the top-down modeling method and rounded function; this model becomes more consistent with practice. The test results and numerical modeling methods can provide basic information for the study on the numerical simulation of particle erosion and the mechanism of erosion of oil and gas pipelines. © 2019, Editorial Board of Journal of Tianjin University(Science and Technology). All right reserved.
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页码：383 / 391
页数：8
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