基于单层吸附及吸附势理论的煤中CH4与CO2跨临界态吸附模型改进

Improvement of the adsorption model for CH4 and CO2 in coal across supercritical states based on monolayer adsorption and adsorption potential theory

  • 摘要:目的和方法】吸附相密度是确定煤中气体吸附量的关键参数。以安徽两淮矿区烟煤为研究对象,在24 ℃、36 ℃、48 ℃温度条件下开展CO2和CH4高压等温吸附实验,结合低温液氮实验和压汞实验对煤孔隙结构定量表征的结果,分析煤中CH4和CO2高压跨临界态吸附过程;基于Gibbs过剩吸附量原理,采用截距法计算煤中CO2和CH4的吸附相体积与最大吸附相密度;并在单层吸附理论的Langmuir模型与吸附势理论的改进D-A模型的基础上,构建出适用于煤中CH4和CO2高压跨临界态的吸附模型。【结果和结论】(1)在24~48 ℃、0~32 MPa实验条件下,由于高压段游离相密度(ρf)与吸附相体积(Va)乘积增加,CH4与CO2过剩吸附量在达到峰值后呈递减趋势;其中CH4的游离相密度随吸附压力增大而线性增加,导致高压段的过剩吸附量线性递减;而CO2的游离相密度在低压段(0~7 MPa)线性增加,高压段(>7 MPa)呈“S”形变化趋势,导致其过剩吸附量变化情况更加复杂。(2) 基于高压CH4过剩吸附量的线性减小趋势,使用截距法计算吸附相体积与最大吸附相密度,并依据改进D-A模型获得吸附相密度的表达式,构建CH4高压绝对吸附量模型;采用CO2最大吸附相密度替代虚拟饱和蒸汽压带入上述模型,获得CO2高压跨临界态吸附的吸附相密度和绝对吸附量拟合改进模型。(3) 改进模型对CH4和CO2绝对吸附量的拟合决定系数(R2)均超过0.98,但在CO2低压阶段吸附拟合偏差较大,引入Langmuir模型描述低压段吸附过程,形成的联合模型提升了全压力段CH4和CO2绝对吸附量的拟合效果(R2>0.99)。本研究为探讨煤中气体高压跨临界吸附过程和评估深部煤层CO2封存量提供了理论依据与优化方法。

     

    Abstract: Objective and Method The adsorbed phase density is a key parameter for determining the gas adsorption capacity in coal. In this study, bituminous coal samples from the Huainan-Huaibei mining area in Anhui Province were selected to conduct high-pressure isothermal adsorption experiments of CO2 and CH4 at temperatures of 24 ℃, 36 ℃, and 48 ℃. Combined with the quantitative characterization of the coal pore structure using low-temperature nitrogen adsorption and mercury intrusion porosimetry, the high-pressure near-critical and supercritical adsorption processes of CH4 and CO2 in coal were analyzed. Based on the principle of Gibbs excess adsorption, the intercept method was used to calculate the adsorbed phase volume and maximum adsorbed phase density of CO2 and CH4 in coal. Furthermore, on the basis of the monolayer adsorption Langmuir model and the adsorption potential-based modified Dubinin–Astakhov (D–A) model, an adsorption model suitable for describing the high-pressure near-critical and supercritical adsorption of CH4 and CO2 in coal was established. Results and Conclusions Under the experimental conditions of 24~48 ℃ and 0~32 MPa, the excess adsorption of CH4 and CO2 shows a declining trend after reaching a peak, due to the increasing product of the free phase density (ρf) and the adsorbed phase volume (Va) at high pressures. Specifically, for CH4, the free phase density increases linearly with adsorption pressure, resulting in a linear decrease in excess adsorption in the high-pressure range. In contrast, for CO2, the free phase density increases linearly in the low-pressure range (0~7 MPa) but exhibits an “S”-shaped variation at higher pressures (>7 MPa), leading to a more complex change in excess adsorption. Based on the linear decrease in excess adsorption of CH4 at high pressures, the intercept method was used to calculate the adsorbed phase volume and maximum adsorbed phase density. Furthermore, an expression for the adsorbed phase density was derived using the modified Dubinin–Astakhov (D–A) model, thereby establishing a model for the absolute adsorption capacity of CH4 under high-pressure conditions. By substituting the maximum adsorbed phase density of CO2 for the hypothetical saturated vapor pressure in the above model, an improved model was developed to fit the adsorbed phase density and absolute adsorption capacity of CO2 in the high-pressure near-critical and supercritical adsorption processes. The improved model achieved coefficients of determination (R2) greater than 0.98 for fitting the absolute adsorption capacities of CH4 and CO2. However, larger fitting deviations were observed for CO2 adsorption in the low-pressure range. By introducing the Langmuir model to describe the adsorption process in this low-pressure stage, a combined model was developed, which further improved the fitting accuracy of the absolute adsorption capacity of CH4 and CO2 across the entire pressure range (R2 > 0.99). This study provides a theoretical basis and methodological optimization for investigating high-pressure near-critical and supercritical adsorption processes of gases in coal and for evaluating the CO2 sequestration capacity of deep coal seams.

     

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