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Computing Effective Permeability of Porous Media with FEM and Micro-CT: An Educational Approach

机译:用FEM和Micro-CT计算多孔介质的有效渗透性:教育方法

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Permeability is a parameter that measures the resistance that fluid faces when flowing through a porous medium. Usually, this parameter is determined in routine laboratory tests by applying Darcy’s law. Those tests can be complex and time-demanding, and they do not offer a deep understanding of the material internal microstructure. Currently, with the development of new computational technologies, it is possible to simulate fluid flow experiments in computational labs. Determining permeability with this strategy implies solving a homogenization problem, where the determination of the macro parameter relies on the simulation of a fluid flowing through channels created by connected pores present in the material’s internal microstructure. This is a powerful example of the application of fluid mechanics to solve important industrial problems (e.g., material characterization), in which the students can learn basic concepts of fluid flow while practicing the implementation of computer simulations. In addition, it gives the students a concrete opportunity to work with a problem that associates two different scales. In this work, we present an educational code to compute absolute permeability of heterogeneous materials. The program simulates a Stokes flow in the porous media modeled with periodic boundary conditions using finite elements. Lastly, the permeability of a real sample of sandstone, modeled by microcomputed tomography (micro-CT), is obtained.
机译:渗透性是一种参数,该参数测量流动流过多孔介质时流体面的电阻。通常,通过应用达西法律确定该参数在常规实验室测试中。这些测试可能是复杂的和苛刻的,并且他们并不能够对材料内部微观结构进行深入理解。目前,随着新的计算技术的发展,可以在计算实验室中模拟流体流动实验。利用该策略确定渗透性意味着求解均质化问题,其中宏参数的确定依赖于流过由材料内部微结构中的连接孔产生的通道的流体的模拟。这是应用流体力学来解决重要产业问题(例如,材料表征)的强大示例,其中学生可以在练习计算机模拟的情况下学习流体流动的基本概念。此外,它还为学生提供了一个具体的机会,可以解决与两个不同尺度相关的问题。在这项工作中,我们提出了一种教育典的代码来计算异质材料的绝对渗透性。该程序模拟了使用有限元建模的多孔介质中的流出流程。最后,获得了由微型仿术断层扫描(Micro-CT)建模的砂岩真实样品的渗透率。

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