Fractal Characteristics and Microstructure of Coal with Impact of Starch-Polymerized Aluminum Sulfate Fracturing Fluids

IF 3.6 2区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Fractal and Fractional Pub Date : 2024-04-15 DOI:10.3390/fractalfract8040228
Feng Cai, Qian Zhang, Lingling Yang
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Abstract

The degree of irregularity and complexity of the pore structure are comprehensively reflected in the fractal dimension. The porosity of coal was determined by its fractal dimension, where a larger dimension indicates a lower porosity. Fractal theory and the Frenkel–Halsey–Hill (FHH) model were applied to explore the variation rules of concentration on functional groups and pore structure in this study. Combined with infrared spectroscopy (FTIR) and low-temperature nitrogen adsorption, a starch-polymerized aluminum sulfate composite fracturing fluid was prepared, which plays an important role in methane adsorption and permeability of coal samples. The test results showed that, compared with the original coal, the pore volume and specific surface area of each group of coal samples were reduced, the average pore diameter was initially enlarged and then declined, and fractal dimension D1 dropped by 5.4% to 15.4%, while fractal dimension D2 gained 1.2% to 7.9%. Moreover, the nitrogen adsorption of each group of coal samples was obviously lower than the original coal, and the concentration of starch-polymerized aluminum sulfate solution existed at a critical optimal concentration for the modification of the coal samples, and the nitrogen adsorption reached a minimum value of 0.6814 cm3/g at a concentration of 10%. The novel composite solution prepared by the combination of starch and flocculant in this paper enhanced the permeability of the coal seam, which is of great significance in improving the efficiency of coalbed methane mining.
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淀粉聚合硫酸铝压裂液影响下煤炭的分形特征和微观结构
分形维度全面反映了孔隙结构的不规则程度和复杂性。煤的孔隙率由其分形维数决定,维数越大,孔隙率越低。本研究应用分形理论和 Frenkel-Halsey-Hill 模型探讨了浓度对官能团和孔隙结构的变化规律。结合红外光谱(FTIR)和低温氮气吸附,制备了淀粉聚合硫酸铝复合压裂液,该压裂液在煤样甲烷吸附和渗透中发挥了重要作用。试验结果表明,与原煤相比,各组煤样的孔隙体积和比表面积均减小,平均孔径先增大后减小,分形维数 D1 下降了 5.4% 至 15.4%,分形维数 D2 增加了 1.2% 至 7.9%。此外,各组煤样的氮气吸附量明显低于原煤,淀粉聚合硫酸铝溶液的浓度存在煤样改性的临界最佳浓度,浓度为10%时氮气吸附量达到最小值0.6814 cm3/g。本文通过淀粉与絮凝剂结合制备的新型复合溶液提高了煤层的透气性,对提高煤层气开采效率具有重要意义。
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来源期刊
Fractal and Fractional
Fractal and Fractional MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
CiteScore
4.60
自引率
18.50%
发文量
632
审稿时长
11 weeks
期刊介绍: Fractal and Fractional is an international, scientific, peer-reviewed, open access journal that focuses on the study of fractals and fractional calculus, as well as their applications across various fields of science and engineering. It is published monthly online by MDPI and offers a cutting-edge platform for research papers, reviews, and short notes in this specialized area. The journal, identified by ISSN 2504-3110, encourages scientists to submit their experimental and theoretical findings in great detail, with no limits on the length of manuscripts to ensure reproducibility. A key objective is to facilitate the publication of detailed research, including experimental procedures and calculations. "Fractal and Fractional" also stands out for its unique offerings: it warmly welcomes manuscripts related to research proposals and innovative ideas, and allows for the deposition of electronic files containing detailed calculations and experimental protocols as supplementary material.
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