Evolution Law of Shallow Water in Multi-Face Mining Based on Partition Characteristics of Catastrophe Theory

IF 3.6 2区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Fractal and Fractional Pub Date : 2023-10-26 DOI:10.3390/fractalfract7110779

Yujiang Zhang, Bingyuan Cui, Yining Wang, Shuai Zhang, Guorui Feng, Zhengjun Zhang

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引用次数: 2

Abstract

It is of great significance for ecological environment protection to clarify the regional evolution characteristics of shallow water under the disturbance of multi-working face mining. In this paper, the catastrophe theory method, GIS spatial analysis function and FEFLOW numerical calculation method were comprehensively used to study the instability risk and evolution law of shallow water systems in the Zhuan Longwan Coal Mine. The results show that: the Zhuan Longwan Coal Mine is divided into five areas (small risk area, light risk area, middle risk area, heavy risk area and special risk area) based on catastrophe theory, among which the middle risk area has the largest area of 16,616,880 m2, and the special risk area has the smallest area of 1,769,488 m2. Based on the results of catastrophe zoning, the evolution law of shallow water under multi-surface disturbance in different zones is expounded. In the middle-risk area, the water level drop at measuring point 4 is the largest, which is 0.525 m, and the water level drop at measuring point 5 is the smallest, which is 0.116 m. The study aims to provide a basis for regional coal development planning and research on the method of water-retaining coal mining.

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基于突变理论分区特征的多工作面开采浅水演化规律

阐明多工作面开采扰动下浅水区域演化特征，对生态环境保护具有重要意义。本文综合运用突变理论方法、GIS空间分析函数和FEFLOW数值计算方法，研究了专龙湾煤矿浅水系统失稳风险及其演化规律。结果表明:根据巨灾理论将转龙湾煤矿划分为小风险区、轻风险区、中风险区、重风险区和特殊风险区5个区域，其中中风险区面积最大，为16616880 m2，特殊风险区面积最小，为1769488 m2。根据突变区划的结果，阐述了不同区域浅水在多面扰动作用下的演化规律。在中风险区，测点4的水位下降最大，为0.525 m，测点5的水位下降最小，为0.116 m。研究旨在为区域煤炭开发规划和保水煤开采方法研究提供依据。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

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.