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A mathematical model for optimization and decision-making of the optimal scheme for coordinated exploitation of coal and coalbed methane

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Abstract

To further improve the simultaneous extraction efficiency of coal and coalbed methane (CBM) during coal mining operations, this study investigated CBM drainage via surface and underground boreholes for three linked time zones in the Jincheng Mining Area, Shanxi Province, China. The dynamic processes occurring within the three zones during the coordinated exploitation of coal and CBM were elucidated. A decision-making theory for the coordinated exploitation of coal and CBM in coal mining faces was established. An evaluation index system and evaluation criteria for the coordinated exploitation effects of coal and CBM in coal mining faces were constructed as the core structure of optimization and decision-making model to identify the optimal scheme for the coordinated exploitation of coal and CBM. Spatiotemporally constrained equations of the three zones were established with the durations of the three zones as the basic variables to be solved. Furthermore, a mathematical model to optimize decision-making to obtain the optimal scheme for the coordinated exploitation of coal and CBM in coal mining faces was built. In this research, by considering the CBM occurrence conditions in the Sihe Mine, Chengzhuang Mine and Yuecheng Mine and the current technical conditions for the exploitation of coal and CBM as the input conditions for decision-making, optimal combined spatiotemporal schemes for the coordinated exploitation of coal and CBM in the coal mining faces of each mine were obtained. These schemes can be used to guide subsequent efforts for the coordinated exploitation of coal and CBM in coal mining faces of each mine.

Article highlights

  1. 1.

    A decision-making theory was developed for the coordinated exploitation of coal and CBM in coal mining faces.

  2. 2.

    An evaluation index system and evaluation criteria were constructed for the coordinated exploitation effects of coal and CBM.

  3. 3.

    A mathematical model was built to optimize decision-making for the coordinated exploitation of coal and CBM.

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Acknowledgements

This work is financially supported by the National Natural Science Foundation of China (Grant No. 52074120), the Science and Technology Project of Hebei Education Department (Grant No. BJK2022067) and the Fundamental Scientific Research Business Funds of Central Universities (Grant No. 3142017107), which are gratefully acknowledged.

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Zhao, C., Cheng, Z., Liu, Y. et al. A mathematical model for optimization and decision-making of the optimal scheme for coordinated exploitation of coal and coalbed methane. Geomech. Geophys. Geo-energ. Geo-resour. 8, 120 (2022). https://doi.org/10.1007/s40948-022-00419-w

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