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基于多孔介质分形理论进行Li-Horne毛管压力模型和Brooks-Corey毛管压力模型的推导,证明Brooks-Corey毛管压力模型为Li-Horne毛管压力模型的一种特殊形式。并利用两种毛管压力模型对北部湾盆地不同渗透率岩样的压汞曲线进行拟合,获得孔隙大小分布指数来评价储层的非均质程度,由于Brooks-Corey模型适用于均质储层,而Li-Horne模型对于均质、非均质储层均适用,所以Li-Horne模型拟合结果好于Brooks-Corey模型。同时,根据Li-Horne模型推导出多孔介质孔隙分布的分形概率模型,其指数与分形维数有关,利用该模型计算的孔喉尺寸分布与压汞曲线获得的结果一致。
The derivation of Li-Horne capillary pressure model and Brooks-Corey capillary pressure model based on the fractal theory of porous media proved that Brooks-Corey capillary pressure model is a special form of Li-Horne capillary pressure model. And two capillary pressure models were used to fit the mercury intrusion curves of rock samples with different permeability in the Beibu Gulf basin. The pore size distribution index was obtained to evaluate the heterogeneity of the reservoir. Because the Brooks-Corey model is suitable for homogeneous reservoir , While the Li-Horne model is suitable for homogeneous and heterogeneous reservoirs. Therefore, the fitting results of Li-Horne model are better than that of Brooks-Corey model. At the same time, fractal probability model of pore distribution in porous media is deduced according to Li-Horne model. The index is related to the fractal dimension. The pore throat size distribution calculated by this model is consistent with the results obtained by mercury intrusion curve.