The effect of heterogeneity on the drainage capillary pressure‐saturation relation
The effect of heterogeneity on the drainage capillary pressure‐saturation relation
复制标题
非均质性对排水毛管压力-饱和度关系的影响
DOI：
10.1029/91wr02679
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
M. Celia
中科院分区：
文献类型：
--
作者：
L. Ferrand;M. Celia
多孔介质中多相流体驱替的正确数学描述需要描述适当的本构关系，包括毛管压力和饱和度之间的关系。这种压力-饱和度关系可以在实验室岩心尺度上测量，但在非均质材料中很难扩展到更大尺度。到目前为止，人们已经使用随机方法和体积平均方法来估计非均质介质中的“有效”压力-饱和度关系。基于网络渗流模型的第三种方法可以被开发并用于定义有效的关系。最后一种方法很吸引人，因为它直接将孔隙尺度物理引入到模型中，假设清楚，数值试验与实验室进行的试验最相似。基于网络模型的数值结果表明，非均质性对有效关系有显著影响。此外，这些结果表明，应用任何形式的线性平均的个别小规模关系来定义有效的关系可能会提供不正确的结果。
Proper mathematical description of multiphase fluid displacement in porous media requires specification of appropriate constitutive relations, including the relationship between capillary pressure and saturation. This pressure-saturation relationship may be measured at the laboratory core scale, but extension to larger scales is difficult in heterogeneous materials. To date, stochastic and volume averaging methods have been used to estimate the “effective” pressure-saturation relation in heterogeneous media. A third method, based on network percolation models, may be developed and used to define effective relationships. This last method is appealing in that pore scale physics are directly incorporated into the model, assumptions are clear, and numerical tests are most similar to those performed in the laboratory. Numerical results based on network models indicate that heterogeneities have a significant impact on the effective relationship. In addition, these results indicate that application of any sort of linear averaging of the individual small-scale relationships to define an effective relationship may provide incorrect results.