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Investigating capillary pressure and interfacial area for multiphase flow in porous media using pore-scale imaging and lattice-Boltzmann modeling.

机译:使用孔尺度成像和格-玻尔兹曼模型研究多孔介质中多相流的毛细管压力和界面面积。

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摘要

Recent advances in imaging technology and numerical modeling have greatly enhanced pore-scale investigations of multiphase flow and transport in porous media. It is now feasible to obtain high resolution 3-dimensional pore-scale data, and numerical methods such as the lattice-Boltzmann (LB) technique have been developed specifically for simulating such phenomena. Traditional macro-scale multiphase flow models rely heavily on empirical relationships. For example, the interaction between fluids at their interfaces is accounted for indirectly through the empirical relative permeability relationship. Nevertheless, it has recently been hypothesized that the single most important variable missing from current macro-scale models is the measure of interfacial dynamics between fluids within the pores. Furthermore, the empirical capillary pressure-saturation relationship used in macro-scale multiphase flow simulators has been shown to be a function of interfacial area per volume. This study focuses on (1) the measurement and modeling of the capillary pressure-saturation relationship; and (2) the characterization of the fluid-fluid interfacial area per volume as a function of saturation. The study synthesizes experimental results derived from pore-scale computerized micro-tomographic (CMT) images with LB simulations. An image analysis algorithm for quantifying fluid-fluid interfacial area per volume from experimental CMT and simulation images was developed and verified. The experimental results were shown to be in good agreement with values reported in the literature. Furthermore, the capillary pressure-saturation curves were used to validate a recently proposed macro-scale interfacial area model. New LB simulations of drainage and imbibition for an airwater system were developed, in which the full geometry from the experimental system was used to define the lattice. This allowed for the direct comparison of experimental and simulated phase distributions within the pores. LB simulations showed excellent agreement with experimental results, considering no optimization or calibration to the data was required. Collectively, results show that there is a complex functional relationship between capillary pressure, saturation and interfacial area that provides insights into multiphase flow and transport processes that can not be obtained from the capillary pressure-saturation relationship alone.
机译:成像技术和数值模型的最新进展大大增强了多孔介质中多相流动和传输的孔隙尺度研究。现在,获得高分辨率的三维孔尺度数据是可行的,并且专门开发了诸如晶格-玻尔兹曼(LB)技术之类的数值方法来模拟这种现象。传统的宏观多相流模型在很大程度上依赖于经验关系。例如,在流体界面处的流体之间的相互作用是通过经验相对渗透率关系间接解决的。然而,最近有假设认为,当前宏观模型中缺失的最重要的单个变量是孔隙内流体之间界面动力学的量度。此外,已证明在大型多相流模拟器中使用的经验毛细管压力-饱和关系是每体积界面面积的函数。本研究的重点是(1)毛细管压力-饱和度关系的测量与建模; (2)每体积的流体界面面积随饱和度变化的特征。这项研究综合了从具有LB模拟的孔隙度计算机显微断层摄影(CMT)图像得出的实验结果。提出并验证了一种用于从实验CMT和模拟图像量化每体积流体界面面积的图像分析算法。实验结果表明与文献报道的值非常吻合。此外,毛细管压力-饱和度曲线被用来验证最近提出的宏观界面面积模型。开发了新的LB系统对排水和吸水的模拟,其中使用了实验系统的全部几何形状来定义晶格。这可以直接比较孔内实验相和模拟相的分布。 LB仿真显示出与实验结果极好的一致性,无需考虑对数据进行优化或校准。总的来说,结果表明,毛细管压力,饱和度和界面面积之间存在复杂的功能关系,这提供了无法仅从毛细管压力-饱和度关系获得的多相流动和传输过程的见解。

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