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Using GIS and Fractal Theory to Evaluate Degree of Fault Complexity and Water Yield

Nutzung von GIS und Fraktaltheorie zur Bewertung von Störungskomplexität und Wasserergiebigkeit

Uso de SIG y teoría fractal para evaluar el grado de complejidad de la falla y la carga de agua

基于GIS与分形理论的断层构造复杂程度与涌水量评价

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Abstract

This paper presents a way to evaluate the degree of fault complexity in coal mines using the geographic information system (GIS) and fractal theory. First, the factors that affect the degree of complexity of coal mine faults are determined. Then, an analytic hierarchy process model is used to calculate the factor weighting, and an information entropy model is used to improve the weight information. Based on the local weighted linear combination, a fault complexity index is calculated. The proposed method was validated by a case study at the Chensilou coal mine in Henan Province, China. The result indicates that the method is robust; the degree of fault complexity was quantified and categorized. The fault complexity in the studied area consists of simple and moderate faults and the water yield was found to increase with the complexity index, indicating an increased risk of water inrush.

Zusammenfassung

Die Arbeit beschreibt eine Methode zur Bewertung des Komplexitätsgrads von Störungen in Kohlegruben unter Verwendung eines Geographischen Informationssystems (GIS) und der Fraktaltheorie. In einem ersten Schritt werden die für die Störungskomplexität maßgeblichen Faktoren bestimmt. Anschließend wird ein analytisch-hierarchisches Prozessmodell zur Berechnung der Wichtung der einzelnen Faktoren eingesetzt, wobei ein Informations-Entropie-Modell zur Verbesserung der Wichtungsinformation dient. Auf Basis der lokalen gewichteten Linearkombination wird ein Störungskomplexitätsindex bestimmt. Die vorgeschlagene Methode wurde im Rahmen einer Fallstudie in der chinesischen Kohlengrube von Chensilou, Provinz Henan, validiert. Im Ergebnis zeigt sich, dass die Methode robust ist; der Störungskomplexitätsgrad wurde quantifiziert und kategorisiert. Die Störungskomplexität in dem untersuchten Gebiet besteht aus einfachen und mittelgradigen Störungen. Die Wasserergiebigkeit steigt mit dem Komplexitätsindex und weist damit auf ein sich erhöhendes Risiko für Wassereinbrüche hin.

Resumen

Este artículo presenta una forma de evaluar el grado de complejidad de las fallas en las minas de carbón utilizando el sistema de información geográfica (GIS) y la teoría fractal. Primero, se determinan los factores que afectan el grado de complejidad de las fallas de las minas de carbón. Luego, se utiliza un modelo de proceso de jerarquía analítica para calcular la ponderación de los factores y se utiliza un modelo de entropía de la información para mejorar la información del peso. Con base en la combinación lineal ponderada local, se calcula un índice de complejidad de fallas. El método propuesto fue validado por un estudio de caso en la mina de carbón Chensilou en la provincia de Henan, China. El resultado indica que el método es robusto; el grado de complejidad de la falla fue cuantificado y categorizado. La complejidad de la falla en el área estudiada consiste en fallas simples y moderadas y se encontró que la carga hídrica aumenta con el índice de complejidad lo que indica un mayor riesgo de entrada de agua.

抽象

本文提出了一种基于GIS与分形理论的矿井断层构造复杂程度的评价方法。首先,确定了断层构造复杂程度的影响因素。然后,应用层次分析模型计算因素的权重,并通过信息熵模型对权重进行改进。基于局部的加权线性组合方法,计算了断层构造复杂指数。通过中国河南陈四楼矿的工程案例验证了方法的可行性。结果表明,该方法具有较强的鲁棒性;断层构造复杂程度被量化和分类。研究区断层构造复杂度为简单和中等,其涌水量随复杂指数的增加而增加,同时突水危险性增加。

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Acknowledgements

The authors acknowledge financial support from the National Key R&D Program of China under Grant 2017YFC0804101. We also thank the Yongcheng Coal and Electricity Holding Group Co. Ltd for providing data support.

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Authors and Affiliations

  1. School of Resources and Geosciences, China University of Mining and Technology, 1 University Rd, Xuzhou, 221008, Jiangsu, China

    Binbin Yang, Junhong Yuan & Qin Liu

  2. Yongcheng Coal and Electricity Holding Group Co. Ltd, Henan Energy and Chemical Industry Group, Middle Guangming Rd, Yongcheng, 476600, Henan, China

    Lihong Duan

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  1. Binbin Yang
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Correspondence to Junhong Yuan.

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Yang, B., Yuan, J., Duan, L. et al. Using GIS and Fractal Theory to Evaluate Degree of Fault Complexity and Water Yield. Mine Water Environ 38, 261–267 (2019). https://doi.org/10.1007/s10230-018-0563-8

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