Abstract
CH(4) flow dynamics in coal, governed primarily by adsorption, desorption, and seepage processes, are critical for determining gas extraction efficiency. Coal seam deformation under varying stress conditions further significantly impacts CH(4) flow. Utilizing a self-developed coal solid-gas coupling test apparatus, this study conducted simultaneous measurements of CH(4) flow and coal deformation under different axial-to-radial stress ratios. The temporal relationship between CH(4) flow and coal deformation was analyzed, establishing a quantitative correlation between the two. The influence of stress on both phenomena was examined. A model incorporating residual strain was developed to evaluate coal strain throughout the entire CH(4) flow process. Results demonstrated that both CH(4) flow and coal deformation exhibit Langmuir-like relationships with time. Similarly, a Langmuir-like relationship was observed between the amount of CH(4) adsorbed and coal deformation during adsorption. Within the experimental stress range, an increase in the axial-to-radial stress ratio inhibited CH(4) flow, consequently reducing coal deformation. Volumetric strain exhibited greater sensitivity to changes in the stress ratio compared to radial or axial strain. Residual strain was identified in coal during both CH(4) adsorption and desorption, with its prominence inversely related to the axial-to-radial stress ratio. The model, accounting for residual strain alongside isothermal flow and deformation characteristics, accurately represented the temporal evolution of coal deformation during CH(4) flow. This research provides a theoretical foundation for enhancing the efficacy of gas extraction.