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

doi:10.1016/j.cjche.2019.08.009

中国化学工程学报 ›› 2020, Vol. 28 ›› Issue (2): 466-476.DOI: 10.1016/j.cjche.2019.08.009

• Process Systems Engineering and Process Safety • 上一篇下一篇

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

收稿日期:2018-11-15 修回日期:2019-07-25 出版日期:2020-02-28 发布日期:2020-05-21
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).

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:2020-02-28 Published:2020-05-21
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).

摘要/Abstract

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

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

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.

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.

参考文献

[1] N. Andritsos, A.J. Karabelas, P.G. Koutsoukos, Morphology and structure of CaCO₃ scale layers formed under isothermal flow conditions, Langmuir 13(1997) 2873-2879.
[2] M.M. Reddy, G.H. Nancollas, The crystallization of calcium carbonate:IV. The effect of magnesium, strontium and sulfate ions, J. Cryst. Growth 35(1976) 33-38.
[3] A.G. Xyla, J. Mikroyannidis, P.G. Koutsoukos, The inhibition of calcium carbonate precipitation in aqueous media by organophosphorus compounds, J. Colloid Interface Sci. 153(1992) 537-551.
[4] Q.F. Yang, J. Ding, Z. Shen, Fractal evaluation for CaCO₃ inhibitors, Chem. J. Chin. Univ. 13(1999) 274-276.
[5] S. Keysar, R. Semiat, D. Hasson, J. Yahalom, Effect of surface roughness on the morphology of calcite crystallizing on mild steel, J. Colloid Interface Sci. 162(1994) 311-319.
[6] M.B. Amor, D. Zgolli, M.M. Tlili, A.S. Manzola, Influence of water hardness, substrate nature and temperature on heterogeneous calcium carbonate nucleation, Desalination. 166(2004) 79-84.
[7] T. Yamaguchi, K. Murakawa, Preparation of spherical CaCO₃(vaterite) powder and transition to calcite in water, J. Soc. Mater. Sci. Jpn. 30(1981) 856-860.
[8] M. Kitamura, Crystallization and transformation mechanism of calcium carbonate polymorphs and the effect of magnesium ion, J. Colloid Interface Sci. 236(2001) 318-327.
[9] S. Thachepan, M. Li, S.A. Davis, S. Mann, Additive-mediated crystallization of complex calcium carbonate superstructures in reverse microemulsions, Chem. Mater. 18(2006) 3557-3561.
[10] Y. Kitano, The behavior of various inorganic ions in the separation of calcium carbonate from a bicarbonate solution, Bull. Chem. Soc. Jpn. 35(1962) 1973-1980.
[11] D. Hasson, I. Perl, Scale deposition in a laminar falling-film system, Desalination. 37(1981) 279-292.
[12] H. Roques, A. Girou, Kinetics of the formation conditions of carbonate tartars, Water Res. 8(1974) 907-920.
[13] J. Xiao, Z. Wang, Y. Tang, S. Yang, Biomimetic mineralization of CaCO₃ on a phospholipid monolayer:from an amorphous calcium carbonate precursor to calcite via vaterite, Langmuir. 26(2010) 4977-4983.
[14] X. Shi, Experimental Study of Microscopic Imaging of CaCO₃ Fouling on Four Heat Transfer Surface. PhD Thesis, University of Shanghai for Science and Technology, China
[15] Z. Chen, M. Xin, M, Li, Progress of preparation of calcium carbonate with template method, Che, Ind. Eng. Pro. 10(2014) 2687-2693.
[16] S.E. Wolf, N. Loges, B. Mathiasch, M. Panthöfer, I. Mey, A. Janshoff, W. Tremel, Phase selection of calcium carbonate through the chirality of adsorbed amino acids, Angew. Chem. Int. Edit. 46(2007) 5618-5623.
[17] L.-Y. Li, G. Zhang, P.C. Sun, T.H. Chen, Biomimetic synthesis of calcium carbonate controlled by anionic amino acid surfactant, Chem. J. Chin. Univ. 29(2008) 235-239.
[18] Y. Guo, F. Wang, J. Zhang, L. Yang, X. Shi, Q. Fang, X. Ma, Biomimetic synthesis of calcium carbonate with different morphologies under the direction of different amino acids, Res. Chem. Intermed. 39(2013) 2407-2415.
[19] Q. Yang, Growth and morphology control of calcium carbonate crystal under organic substrate, Master Thesis University of Yangzhou, China, 2010.
[20] I. Sondi, S.D. Skapin, B. Salopek-Sondi, Biomimetic precipitation of nanostructured colloidal calcite particles by enzyme-catalyzed reaction in the presence of magnesium ions, Cryst. Growth Des. 8(2008) 435-441.
[21] H. Tohse, K. Saruwatari, T. Kogure, H. Nagasawa, Y. Takagi, Control of polymorphism and morphology of calcium carbonate crystals by a matrix protein aggregate in fish otoliths, Cryst. Growth Des. 9(2009) 4897-4901.
[22] J. Kontrec, M. Ukrainczyk, V. Babic-Ivancic, D. Kralj, Synthesis of calcium carbonate by semicontinuous carbonation method in the presence of dextrans, Croat. Chem. Acta 84(2011) 25-32.
[23] D. Zhao, R.X. Zhuo, S.X. Cheng, Alginate modified nanostructured calcium carbonate with enhanced delivery efficiency for gene and drug delivery, Mol. BioSyst. 8(2012) 753-759.
[24] T. Sugawara, Y. Suwa, K. Ohkawa, H. Yamamoto, Chiral biomineralization:mirrorimaged helical growth of calcite with chiral phosphoserine copolypeptides, Macromol. Rapid Commun. 24(2003) 847-851.
[25] Q. Shen, H. Wei, L.C. Wang, Y. Zhou, Y. Zhao, Z. Zhang, D. Wang, G. Xu, D. Xu, Crystallization and aggregation behaviors of calcium carbonate in the presence of poly (vinylpyrrolidone) and sodium dodecyl sulfate, J. Phys. Chem. B 109(2005) 18342-18347.
[26] Q. Shen, Y. Chen, H. Wei, Y. Zhao, D. Wang, D. Xu, Suspension effect of poly (styreneran-methacrylic acid) latex particles on crystal growth of calcium carbonate, Cryst. Growth Des. 5(2005) 1387-1391.
[27] Q. Shen, H. Wei, Y. Zhao, D.-J. Wang, L.-Q. Zheng, D.-F. Xu, Morphological control of calcium carbonate crystals by polyvinylpyrrolidone and sodium dodecyl benzene sulfonate, Colloids Surf. A Physicochem. Eng. Asp. 251(2004) 87-91.
[28] H. Wei, Q. Shen, Y. Zhao, D.-J. Wang, D.-F. Xu, Influence of polyvinylpyrrolidone on the precipitation of calcium carbonate and on the transformation of vaterite to calcite, J. Cryst. Growth 250(2003) 516-524.
[29] J.G. Yu, M. Lei, B. Cheng, X. Zhao, Facile preparation of calcium carbonate particles with unusual morphologies by precipitation reaction, J. Cryst. Growth 261(2004) 566-570.
[30] G.B. Cai, Y. Wan, S.H. Yu, Progress in bio-inspired synthesis and formation mechanism of bio-minerals, Chin J. Inorg. Chem. 24(2008) 673-683.
[31] J. Aizenberg, D.A. Muller, J.L. Grazul, D.R. Hamann, Direct fabrication of large micropatterned single crystals, Science 299(2003) 1205-1208.
[32] C. Li, L.M. Qi, Bioinspired fabrication of 3D ordered macroporous single crystals of calcite from a transient amorphous phase, Angew. Chem. Int. Edit. 47(2008) 2388-2393.
[33] Q. Yang, A. Gu, Y. Liu, H. Zeng, J. Ding, Z. Shen, Effects of PAA and PBTCA on CaCO₃ micro-structure, J. Inorg. Mater. 17(2001) 259-262.
[34] Y.D. Liu, Y. Zou, L. Zhao, Effect of surface roughness on adhesion of crystalline fouling, J. Eng. Thermophys. 31(2010) 1355-1357.
[35] J.M. Li, L. Li, M. Lai, B. Ralph, Imaged-based Fractal Description of Microstructures, First edition Springer, US, 2003.
[36] A. Helalizadeh, H. Muller-Steinhagen, M. Jamialahmadi, Mathematical modelling of mixed salt precipitation during convective heat transfer and sub-cooled flow boiling, Chem. Eng. Sci. 60(2005) 5078-5088.
[37] C. Bower, C. Washington, T.S. Purewal, The use of image analysis to characterize aggregates in a shear field, Colloid. Surf. A. 127(1997) 105-112.
[38] T. Akiyama, T. Iguchi, K. Aoki, K. Nishimoto, A fractal analysis of solids mixing in twodimensional vibrating particle beds, Powder Technol. 97(1998) 63-71.
[39] A.L. Le Coent, A. Rivoire, S. Briancon, J. Lieto, An original image-processing technique for obtaining the mixing time:The box-counting with erosions method, Powder Technol. 152(2005) 62-71.
[40] A. Dathe, M. Thullner, The relationship between fractal properties of solid matrix and pore space in porous media, Geoderma. 129(2005) 279-290.
[41] S. Yang, L. Shao, Estimation of fractal dimensions of images based on MATLAB, Mining. Technol. J. Chinese U. 7(2006) 479-480.
[42] H. Zhu, C. Ji, Fractal Theory and its Applications, Science Press, Beijing, 2011(in Chinese).
[43] J. Wu, Beauty of Mathematics, Second Edition Posts & Telecom Press, Beijing, 2014(in Chinese).
[44] P. Gao, J. Zhang, G. Ma, Direct image-based fractal characterization of morphologies and structures of wax crystals in waxy crude oils, J. Phys. Condes. Matter 18(2006) 11487-11506.

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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