Direct image-based fractal characterization of micromorphology of calcium carbonate fouling crystals

doi:10.1016/j.cjche.2019.08.009

Chinese Journal of Chemical Engineering ›› 2020, Vol. 28 ›› Issue (2): 466-476.DOI: 10.1016/j.cjche.2019.08.009

• Process Systems Engineering and Process Safety • Previous Articles Next Articles

Direct image-based fractal characterization of micromorphology of calcium carbonate fouling crystals

Xiaokai Xing¹, Zhonghua Zhao², Jianhang Wu¹

1 National Engineering Laboratory for Pipeline Safety, Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum-Beijing, Beijing 102249, China;
2 Dalian Port (PDA) Company Limited, Dayaowan Business Building, Dalian 116000, China

Received:2018-11-15 Revised:2019-07-25 Online:2020-05-21 Published:2020-02-28
Contact: Xiaokai Xing
Supported by:
This work was supported by the National Natural Science Foundation of China “Research on the Mixing Deposition of Crude Oil and Inorganic Salts in Stratified Flow of High Water and Low Oil Through a Pipeline” [grant number 51574259], and Research Foundation of China University of Petroleum-Beijing At Karamay (grant number YJ2018B02001).

Direct image-based fractal characterization of micromorphology of calcium carbonate fouling crystals

Xiaokai Xing¹, Zhonghua Zhao², Jianhang Wu¹

1 National Engineering Laboratory for Pipeline Safety, Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum-Beijing, Beijing 102249, China;
2 Dalian Port (PDA) Company Limited, Dayaowan Business Building, Dalian 116000, China

通讯作者: Xiaokai Xing
基金资助:
This work was supported by the National Natural Science Foundation of China “Research on the Mixing Deposition of Crude Oil and Inorganic Salts in Stratified Flow of High Water and Low Oil Through a Pipeline” [grant number 51574259], and Research Foundation of China University of Petroleum-Beijing At Karamay (grant number YJ2018B02001).

Abstract

Abstract: Researches on macroscopic fouling behavior and micromorphology are usually conducted separately. In this paper, the relationship between the macroscopic fouling behavior and micromorphology on different materials is established. A direct fractal-characterization approach based on the micrographs of calcium carbonate fouling crystals is presented. The box-counting method is used to characterize the fouling crystals. For fractal measurements, t-distribution tests of linear regression hypothesis are performed at the significance level of 0.01. If all listed absolute t-statistics with the minimum of 164 are higher than the corresponding t value, the fouling crystals are determined as fractal, with a confidence level of 99%. The fractal dimensions obtained from the micrographs of different visual fields of a specimen are demonstrated to be almost identical, with maximum and minimum relative values of 4.42% and 0.75%, respectively, and standard deviations ranging from 0.0062 to 0.0266. The irregularity of the crystal morphology indicates larger fractal dimensions. Comparison and analysis of the relationship between macroscopic fouling behavior and micromorphology show that the larger fractal dimension of crystal morphology suggests a small amount of surface fouling. Thus, the reasons for the differences in the macroscopic fouling behaviors of different materials are revealed geometrically.

Key words: Calcium carbonate, Fouling, Fractal dimension, Micromorphology

摘要： Researches on macroscopic fouling behavior and micromorphology are usually conducted separately. In this paper, the relationship between the macroscopic fouling behavior and micromorphology on different materials is established. A direct fractal-characterization approach based on the micrographs of calcium carbonate fouling crystals is presented. The box-counting method is used to characterize the fouling crystals. For fractal measurements, t-distribution tests of linear regression hypothesis are performed at the significance level of 0.01. If all listed absolute t-statistics with the minimum of 164 are higher than the corresponding t value, the fouling crystals are determined as fractal, with a confidence level of 99%. The fractal dimensions obtained from the micrographs of different visual fields of a specimen are demonstrated to be almost identical, with maximum and minimum relative values of 4.42% and 0.75%, respectively, and standard deviations ranging from 0.0062 to 0.0266. The irregularity of the crystal morphology indicates larger fractal dimensions. Comparison and analysis of the relationship between macroscopic fouling behavior and micromorphology show that the larger fractal dimension of crystal morphology suggests a small amount of surface fouling. Thus, the reasons for the differences in the macroscopic fouling behaviors of different materials are revealed geometrically.

关键词: Calcium carbonate, Fouling, Fractal dimension, Micromorphology

Xiaokai Xing, Zhonghua Zhao, Jianhang Wu. Direct image-based fractal characterization of micromorphology of calcium carbonate fouling crystals[J]. Chinese Journal of Chemical Engineering, 2020, 28(2): 466-476.

Xiaokai Xing, Zhonghua Zhao, Jianhang Wu. Direct image-based fractal characterization of micromorphology of calcium carbonate fouling crystals[J]. 中国化学工程学报, 2020, 28(2): 466-476.

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Direct image-based fractal characterization of micromorphology of calcium carbonate fouling crystals

Direct image-based fractal characterization of micromorphology of calcium carbonate fouling crystals

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