Flow characterization using more accurate and robust numerical engine in the natural domains is a demanding subject in underground related surveys for an optimized performance. Primarily, we employed a more precise insight into constructing a proper three-dimensional rock model, the XCT. Representative samples were scanned with a synchrotron Micro-Tomography beamline. The reconstructed volumes were analyzed using iMorph and the fluid flow simulated by employing the novel Constant Speed Kinetic Lattice model (CSKM).

In this approach, the 4D Fourier series have been employed to simulate 3D fluid flow taking into account thermodynamic consistency. Considering the recently proposed entropic model of Burg and Tsallis, the extended Boghosian distribution function model was substituted by the recently proposed 4D CSKM with Tsallis entropy, incorporating a new developed forcing term through modified Exact Difference Method (EDM). Compared earlier research, the results reveal more accuracy in making flow parameters consistent with the porous-media-related physical phenomena.

在自然域中使用更准确和强大的数值引擎进行流动表征是地下相关调查中对优化性能的要求很高的主题。首先，我们采用了更精确的洞察力来构建合适的三维岩石模型 XCT。用同步加速器显微断层扫描光束线扫描代表性样品。使用 iMorph 分析重建的体积，并使用新型恒速动力学点阵模型 (CSKM) 模拟流体流动。

在这种方法中，考虑到热力学一致性，使用 4D 傅立叶级数来模拟 3D 流体流动。考虑到最近提出的 Burg 和 Tsallis 熵模型，扩展的 Boghosian 分布函数模型被最近提出的具有 Tsallis 熵的 4D CSKM 所取代，并通过改进的精确差分法 (EDM) 结合了新开发的强迫项。与早期的研究相比，结果表明在使流动参数与多孔介质相关的物理现象一致方面具有更高的准确性。