通过将水合物的分解过程看作是无固态产物层生成的气固反应过程,结合粒径缩小的收缩核反应模型和分形理论,建立了多孔介质中水合物降压分解的分数维动力学模型,提出了基于水合物分解实验数据计算多孔介质分形维数的方法.分别利用前人的甲烷水合物和CO2水合物降压分解实验数据,对上述分数维动力学模型进行了验证.计算结果表明,用提出的方法所计算得到的多孔介质分形维数与前人的测定结果基本符合;对甲烷水合物和CO2水合物的降压分解过程,提出的分数维动力学分解模型得出了和实验结果基本一致的预测,绝对平均误差(AAD)小于10%.
The dissociation process of gas hydrate was regarded as a gas-solid reaction without solid production layer when the temperature was above the zero centigrade. Based on the shrinking core model and the fractal theory, a fractional dimension dynamical model for gas hydrate dissociation in porous sediment was established. The new approach of evaluating the fractal dimension of the porous media was also presented. The fractional dimension dynamical model for gas hydrate dissociation was examined with the previous experimental data of methane hydrate and carbon dioxide hydrate dissociations, respectively. The calculated results indicate that the fractal dimensions of porous media acquired with this method agree well with the previous study. With the absolute average deviation (AAD) below 10%, the present model provided satisfactory predictions for the dissociation process of methane hydrate and carbon dioxide hydrate.