With the development of coal-bed methane (CBM) mining technology, deep coal-beds have become the target of CBM development. In order to simulate changes in coal adsorption and permeability characteristics caused by increased mining depth, low-temperature liquid nitrogen adsorption tests, isothermal adsorption tests and triaxial seepage tests under rising gas pressure have been conducted. In this study, a fractal Langmuir model that considered the effects of excess quantity and temperature was constructed. From this premise, a fractal permeability model for coal that considered effective stress and gas pressure was constructed. The results indicated that under low pressure conditions, excess adsorption quantity in coal increased under increasing gas pressure. As gas pressure increased, the density during the gas free phase gradually increased. This revealed a difference between excess coal adsorption, and a gradual increase in absolute adsorption. Secondly, as the quantity of gas adsorption gradually increased, the isosteric heat in the adsorption of coal gradually decreased. The results revealed that the coal surface was rough. We used fractal dimension to represent the pore distribution characteristics on the coal surface. With an increase in the fractal dimension D, the adsorption constants a and b of coal showed an upward trend. Based on this, the fractal Langmuir model that considered the effects of excess quantity and temperature had a better applicability than other models. In addition, with a rise in gas pressure, the permeability of coal demonstrated a tendency to decline sharply at first and then to level off. However, the permeability of coal when filled with CO₂ gas was always lower than that when filled with CH₄ gas. Compared with Lu's et al. research, and Shi and Durucan's (S&D) model, this new permeability model had better applicability in terms of calculation accuracy or parameter rationality.

随着煤层气（CBM）开采技术的发展，深层煤层已成为煤层气发展的目标。为了模拟由于增加的开采深度而引起的煤吸附和渗透性特征的变化，已经进行了在升高的气压下的低温液氮吸附试验，等温吸附试验和三轴渗透试验。在这项研究中，建立了一个考虑过量和温度影响的分形Langmuir模型。在此前提下，建立了考虑有效应力和气压的煤分形渗透率模型。结果表明，在低压条件下，随着气压的升高，煤中过量的吸附量增加。随着气压的增加，无气相期间的密度逐渐增加。这表明过量煤吸附与绝对吸附逐渐增加之间存在差异。其次，随着气体吸附量的逐渐增加，煤吸附过程中的等热量逐渐减少。结果表明，煤表面粗糙。我们使用分形维数来表示煤表面的孔隙分布特征。随着分形维数的增加D，煤的吸附常数a和b呈上升趋势。在此基础上，考虑过量和温度影响的分形Langmuir模型具有比其他模型更好的适用性。另外，随着气压的升高，煤的渗透率呈现出先急剧下降然后稳定的趋势。然而，当填充CO ₂气体时，煤的渗透率总是比填充CH ₄气体时的渗透率低。与卢等人相比。根据Shi和Durucan（S＆D）模型的研究，这种新的渗透率模型在计算精度或参数合理性方面具有更好的适用性。