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Study on Elastoplastic Damage Constitutive Model and Permeability Evolution Law of Gas-Bearing Coal

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Abstract

Original coal reservoir contains massive free and adsorbed methane, that directly affects the mechanical properties and permeability of coal with its unique dual effects, which may, thus, promote the gestation and occurrence of mine gas disasters. Mining disturbance and borehole drainage can facilitate the plastic rupture of surrounding rock mass, which would result in the gas migration law becoming more complex that, in turn, would be difficult to explain based on classical elastic deformation theory. Therefore, understanding elastoplastic deformation behavior and gas migration law relating to coal under engineering disturbance is crucial for preventing gas disasters. First, when mechanical and adsorption induced effects of gas on coal are considered, a concept of effective total pore pressure has been proposed. From which, calculation of plastic deformation in accordance with non-associated flow rule, a constitutive model that considered elastoplastic deformation (EPC Model) was established to simulate deformation and failure characteristics. Following that, a permeability jump coefficient was introduced to describe the sudden increase in permeability following damage and failure in coal, and an elastoplastic damage-permeability model (EPDP Model) was further deduced on basis of cubic law. Finally, through triaxial compression-seepage experimental data to verify the established EPC Model and EPDP Model. The results revealed that gas would weaken coal’s mechanical properties (peak strength and elastic modulus) by changing its microstructure, whose deterioration would become more obvious with an increase of gas pressure. The changes to the permeability curve were of an "S" type, which showed a good corresponding relationship with the change trends relating to whole stress–strain curve. Both the EPC Model and the EPDP Model exhibited satisfactory matching effects with experimental data. Furthermore, EPDP Model was popularized and applied, with its universality being verified by the experimental data relating to a reduction in pore pressure seepage. This research will provide a new thinking for ensuring safe and efficient production in coal mines.

Highlights

  1. 1.

    When the double effect of gas on coal were examined, Terzaghi's effective stress principle was modified appropriately, and a concept of effective total pore pressure has been proposed.

  2. 2.

    The plastic strain on coal during triaxial compression was calculated, and an elastoplastic constitutive model that investigated gas action was further deduced.

  3. 3.

    A permeability jump coefficient was introduced to describe permeability change following damage and failure to coal, thereby, making it possible to establish a damage-permeability model during elastoplastic deformation.

  4. 4.

    The damage-permeability model was simplified appropriately, in order for it to be suitable to be employed as a classical elastic permeability model appropriate during CBM extraction stage, with its application scope of the permeability model being extended.

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Acknowledgements

This study was financially supported by the Guizhou Provincial Basic Research Program (Natural Science) (Qiankehe Platform Talents-YQK[2023]013 and Qianke Combination Foundation-ZK[2021]Key 052) and the National Natural Science Foundation of China (Grant Nos. 52274183 and 52064007).

Funding

This study was funded by Guizhou Provincial Basic Research Program (Natural Science) (Qiankehe Platform Talents-YQK[2023]013), the National Natural Science Foundation of China (Grants No. 52274183 and 52064007) and Guizhou Provincial Basic Research Program (Natural Science) (Qianke Combination Foundation-ZK[2021]Key 052).

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Authors and Affiliations

  1. College of Mining, Guizhou University, Guiyang, 550025, People’s Republic of China

    Jiale Fu, Bobo Li, Chonghong Ren, Qiaoyun Cheng & **** Ye

  2. Guizhou Key Laboratory of Comprehensive Utilization of Non-Metallic Mineral Resources, Guiyang, 550025, People’s Republic of China

    Bobo Li

  3. National and Local Joint Laboratory of Engineering for Effective Utilization of Regional Mineral Resources From Karst Areas, Guizhou University, Guiyang, 550025, People’s Republic of China

    Bobo Li

  4. Key Laboratory of Tectonics and Petroleum Resources of the Ministry of Education, School of Earth Resources, China University of Geosciences, Wuhan, 430074, People’s Republic of China

    Sandong Zhou

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  1. Jiale Fu
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Fu, J., Li, B., Ren, C. et al. Study on Elastoplastic Damage Constitutive Model and Permeability Evolution Law of Gas-Bearing Coal. Rock Mech Rock Eng (2024). https://doi.org/10.1007/s00603-024-04009-y

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