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OALib Journal期刊
ISSN: 2333-9721
费用：99美元
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基于kozeny—carman方程的渗透率分形模型
Keywords: 分形,渗透率,孔隙度,比面,kozeny-carman方程
Abstract:
？kozeny—carman(kc)方程是渗流领域广泛应用于多孔介质渗透率预测的半经验公式，自该方程首次提出就不断地被修正并加以改进。应用分形理论，通过建立具有分形特征的毛管束模型，基于posenille定律和达西公式分别确定了多孔介质的渗透率、孔隙度、比面的分形表达式，以经典的kc方程为基础，将三者的分形表达式相结合得出了全新的考虑比面影响的渗透率分形模型，同时得到了具有分形特征的kc常数。结果表明:多孔介质的渗透率是孔隙结构分形维数、迂曲度、宏观物性参数(孔隙度和比面)的函数，kc常数并不为固定值，而与毛细管的迂曲度、孔隙结构的分形维数等微观孔隙参数有着密切的联系。通过计算验证表明，相比于目前使用的kc方程，应用分形方法预测出的渗透率值与实际数值更加接近。
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