Dynamic coefficient as an important parameter in determination of the dynamic behavior of capillary pressure is considered as a function of various fluid and porous media properties. In this study, a new and general formulation for predicting the dynamic coefficient was proposed and developed through which the key fluid and porous media properties are accounted for. For expressing new formulation, multi-gene genetic programming (MGGP) was employed. Efficiency and robustness of the proposed model were investigated through experimental data and statistical measures of performance. A parametric study was designed to evaluate the impact of different parameters on the dynamic coefficient. Results show that the developed model is valid for a wide range of the conditions of two-phase flow in porous media. The model is a prerequisite for the accurate design, modeling, and application of dynamic capillarity effect in various fields of fluid flow in porous media. Furthermore, a new dimensionless number, the so-called dynamic effect number, was proposed and formulated which quantifies dynamic capillary force to viscous force ratio. Such a number would be useful and practical for the upscaling process and quantification of dominant forces in two-phase flow in porous media where limited experimental data are present.

中文翻译：

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使用多基因遗传编程 (MGGP) 的非平衡毛细管效应新公式：考虑流体和多孔介质特性

动态系数作为确定毛细管压力动态行为的重要参数，被认为是各种流体和多孔介质特性的函数。在这项研究中，提出并开发了一种用于预测动态系数的新的通用公式，通过该公式可以说明关键的流体和多孔介质特性。为了表达新配方，采用了多基因遗传编程（MGGP）。通过实验数据和性能统计测量研究了所提出模型的效率和稳健性。设计了一个参数研究来评估不同参数对动态系数的影响。结果表明，所开发的模型适用于多孔介质中两相流的各种条件。该模型是动态毛细管效应在多孔介质中流体流动的各个领域进行精确设计、建模和应用的先决条件。此外，提出并制定了一个新的无量纲数，即所谓的动态效应数，用于量化动态毛细管力与粘性力的比率。对于实验数据有限的多孔介质中两相流中主导力的放大过程和量化，这样的数字将是有用和实用的。