Underground coal mining in China has gradually moved into deeper seams in recent years, which results in a higher ambient temperature in the mining space and significantly affects the mechanical behavior of coal. In this study, dehydrated coal samples were obtained at different temperatures ranging from 30${}^{\circ }$ to 70${}^{\circ }$, and the mechanical behavior of the dehydrated coal was investigated through compressive loading tests. The digital image correlation (DIC) method was used to acquire the strain field of coal, and a multifractal analysis was conducted to characterize the strain evolution of coal. The findings suggest that the increasing temperatures result in higher moisture desorption rates and greater volumetric contraction strain in coal. Furthermore, coal with higher moisture desorption exhibits higher peak stress and peak strains when subjected to compressive loading. The multifractal analysis of the inhomogeneous strain evolution indicates a gradual decrease in the parameter $\mathrm{\Delta }\alpha$ under compressive loading, followed by a sudden increase before reaching the failure point due to strain localization. The multifractal mechanism was further investigated, revealing that the inhomogeneous strain field of coal is inherently affected by the microstructure of coal. In addition, a mathematical model was proposed to elucidate the relationship between the inhomogeneous coal strain and the microstructure of coal. The result indicates that the inhomogeneity of the coal strain is directly associated with the multifractal singularity of the coal microstructure. Finally, the feasibility of using the multifractal parameter $\mathrm{\Delta }\alpha$ to identify coal strain localization has been demonstrated, indicating its potential value in aiding engineers to determine the SLZ in deep coal mines.

近年来，我国地下煤炭开采逐渐向更深的煤层推进，导致采矿空间环境温度升高，显着影响煤炭的力学行为。在本研究中，脱水煤样是在 30 ℃ 的不同温度下获得的。${}^{\circ }$到 70${}^{\circ }$，并通过压缩加载试验研究了脱水煤的力学行为。采用数字图像相关（DIC）方法获取煤的应变场，并进行多重分形分析来表征煤的应变演化。研究结果表明，温度升高导致煤中水分解吸率更高，体积收缩应变更大。此外，具有较高水分解吸能力的煤在承受压缩载荷时表现出较高的峰值应力和峰值应变。非均匀应变演化的多重分形分析表明参数逐渐减小$\mathrm{\Delta }\alpha$在压缩载荷下，随后由于应变局部化而在达到失效点之前突然增加。进一步研究了多重分形机制，揭示了煤的不均匀应变场本质上受到煤的微观结构的影响。此外，还提出了一个数学模型来阐明煤体不均匀应变与煤体微观结构之间的关系。结果表明，煤应变的不均匀性与煤微观结构的多重分形奇异性直接相关。最后，使用多重分形参数的可行性$\mathrm{\Delta }\alpha$识别煤应变定位的方法已经得到证实，表明其在帮助工程师确定深部煤矿 SLZ 方面的潜在价值。