动态结冰孔隙结构三维建模方法

doi:10.11949/0438-1157.20190357

摘要/Abstract

摘要：

动态结冰内部呈现多孔结构特点，这一微观孔隙结构是影响其宏观物性的关键因素，然而传统方法难以对三维孔隙结构进行定量表征。为了客观刻画结冰微观结构特征，提出了基于结冰二维图像定量信息的三维微观结构建模方法。首先，研究并确定了真实结冰尺寸与建模区域之间的比例关系，分析比例尺对分辨率和建模的影响；其次，结合二维孔隙率和孔径分布函数，提出了三维孔隙数量及其孔径的推导方法，并给定了孔隙位置随机生成方法；基于此，最终建立了以0-1矩阵形式表征结冰三维微观孔隙结构的方法。实验表明，所生成三维结冰模型的二维孔隙定量信息与实验结果吻合度较高，建模方法准确可行，为动态结冰三维刻画、微观特征参数提取和相关微观仿真模拟提供了新途径。

关键词: 动态结冰, 孔隙结构, 孔隙率, 孔径分布, 定量分析

Abstract:

The dynamic icing presents a porous structure. This microscopic pore structure is a key factor affecting its macroscopic physical properties. However, it is difficult to quantitatively characterize the three-dimensional pore structure with traditional methods. Aimed to describe the microcosmic characters objectively, a 3-D modeling approach of porous structure based on quantitative results of 2-D images is proposed in this paper. Firstly, the ratio of measuring scale between real and modeling size is studied and given, and its influence on resolution and modeling is also analyzed. Secondly, based on the porosity and diameter distribution, method to determine the amount and diameters of pores is presented. And the random approach of pores location is given. After these preparations, the 3-D porous structure of ice is formed by a matrix with element value 0 or 1. The experimental results demonstrate that the 2-D quantitative information of pores extracted from 3-D generated ice is highly similar to the real ice, which shows that the proposed approach is accurate and feasible. Through this paper, a new way to 3-D display, characters extraction and corresponding simulation of ice in microcosmic view can be provided.

Key words: dynamic icing, porous structure, porosity, pore diameter distribution, quantitative analysis

中图分类号:

V 211.71

李伟斌, 宋超, 易贤, 马洪林, 杜雁霞. 动态结冰孔隙结构三维建模方法[J]. 化工学报, 2020, 71(3): 1009-1017.

Weibin LI, Chao SONG, Xian YI, Honglin MA, Yanxia DU. 3-D modeling method of porous structure for dynamic icing[J]. CIESC Journal, 2020, 71(3): 1009-1017.

图/表 12

图1 具有气泡的动态结冰

Fig.1 Dynamic icing with pores

图2 三维建模方法流程

Fig.2 Flow diagram of 3-D modeling method

图3 结冰显微图像及其分割结果

Fig.3 Microscopic image of ice and its segmentation results

图4 结冰微观孔径分布曲线及其拟合曲线

Fig.4 Distribution curves of micro pore diameter of ice and corresponding curve-fits

图5 所生成1 cm×1 cm×1 cm结冰的图像显示

Fig.5 Visional display of modeling ice with size of 1 cm×1 cm×1 cm

图6 所生成1 cm×1 cm×1 cm结冰的孔隙分布

Fig.6 Pores distribution of modeling ice with size of 1 cm×1 cm×1 cm

图7 孔隙位置与直径对应的随机数

Fig.7 Random numbers for locations and diameters of pores

图8 生成孔径分布及其所服从的分布函数

Fig.8 Distribution curves of modeling diameter and obeyed function

图9 二维分割结果及三维结冰微观结构模型截面

Fig.9 Comparisons among 2-D segmentation result and cross-section results extracted from 3-D model

图10 x,y,z三个方向所有截面孔隙率

Fig.10 Porosities of all cross-sections in x, y and z directions

图11 重复实验得到的结冰三维孔隙率

Fig.11 3-D porosities of ice by repetitive experiments

图12 不同分辨率下的建模结果

Fig.12 Modeling results with different resolutions

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