含甲烷水合物多孔介质的复电阻率模型对比

在获得含甲烷水合物多孔介质体系阻抗谱参数的基础上，通过计算得到了复电阻率数据，分析了复电阻率参数的频散规律；讨论了3种常用的复电阻率模型(Dias模型、Warburg模型、Cole-Cole模型)，并采用实验数据对3种复电阻率模型的参数进行了拟合，进而对各模型的适用性进行了对比和评价。结果表明：Warburg模型对含甲烷水合物多孔介质的复电阻率数据拟合效果最好，该模型可应用于含水合物多孔介质电学特性的进一步研究；Warburg模型的参数与水合物饱和度之间存在明显的对应关系，随着水合物饱和度的增大，模型参数中的零频电阻率和时间常数均单调减小，这为下一步建立基于复电阻率模型参数的水合物饱和度计算模型提供了基础。

COMPARATIVE STUDY ON COMPLEX RESISTIVITY MODELS FOR POROUS MEDIUM CONTAINING METHAN HYDRATE

Based on the complex resistivity obtained from the measured impedance spectrum of porous medium containing methane hydrate, the frequency dispersion characteristics of the complex resistivity are studied in this paper. Three commonly used complex resistivity models i.e. the Dias model, the Warburg model and the Cole-Cole model are discussed. The parameters of the three models are fitted and compared with experimental data, upon which the applicability of the models are evaluated and compared. It demonstrates that the Warburg model is the best one which fits the experimental data and can be used for studying the electrical properties of hydrate-bearing porous media further; the parameters of the Warburg model have obvious relationships with the hydrate saturation, which provides a foundation for establishing hydrate saturation models based on the complex resistivity model parameters.