Collaborative Research: 4D Visualization and Modeling of Two-Phase Flow and Deformation in Porous Media beyond the Realm of Creeping Flow

合作研究：蠕动流领域之外的多孔介质中两相流和变形的 4D 可视化和建模

• 批准号: 2000968
• 负责人: Muhammad Sahimi
• 金额: $ 26.65万
• 依托单位: University of Southern California
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2020
• 资助国家: 美国
• 起止时间: 2020-04-01 至 2025-03-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2000968&HistoricalAwards=false
• 关键词: Collaborative; Research; 4D; Visualization; Modeling

Porous media (e.g., sponge, paper, fabrics, rock, and soil) are materials with pores distributed in a solid matrix. When pores are connected, fluids can flow through them. Understanding and predicting fluid flow in porous media is important as it occurs in a wide range of applications, from contamination of groundwater and soil to printing on paper and fabrics. By understanding flow pathways, we can make accurate predictions of the fluid flow, which in turn, will help us design and control related processes. However, predicting fluid flow in porous media is still a long-standing problem. While observing fluid flow in simple two-dimensional porous media can be straightforward, the same is not true in more realistic three-dimensional cases. This proposal aims to carry out an integrated computational and experimental study to provide a more accurate description of flow pathways and realistic fluid flow and the resultant deformations in such materials. Although non-destructive 3D imaging has provided much information about fluid distribution in porous materials, fast and cost-effective 4D pore-scale visualization (i.e., over a period of time) is still very difficult, costly and time-consuming. Furthermore, although visualization of multiphase flow in porous media has been extensively studied in 2D models, there have been very few of such studies in 4D (or even 3D). One goal of this proposal is to develop a 4D method for visualization of two-phase flow in transparent porous media and the deformation that it induces in the media beyond the realm of creeping flow, i.e. when the flow is very slow. This goal will be achieved by collecting 2D images from various angles, which will then be used with a computational algorithm to build a highly detailed 4D image of the multiphase flow. Detailed computations will be carried out in which the two-phase fluid flow and the resulting deformation will be simulated in the same porous media beyond creeping flow. The investigators will also study and identify the critical Reynolds number (Re) at which the transition from the Darcy regime to Forchheimer and eventually turbulent flows occurs. The effect of wettability on the deformation of porous media during two-phase flow will also be investigated. Distinct deformation modes of a porous medium will also be examined under a wide range of Reynolds number and wettability conditions.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

多孔介质（例如，海绵、纸、织物、岩石和土壤）是具有分布在固体基质中的孔的材料。当孔隙连通时，流体可以流过它们。了解和预测多孔介质中的流体流动非常重要，因为它发生在广泛的应用中，从地下水和土壤的污染到纸张和织物上的印刷。通过了解流动路径，我们可以对流体流动进行准确预测，这反过来将有助于我们设计和控制相关过程。然而，预测多孔介质中的流体流动仍然是一个长期存在的问题。虽然观察简单二维多孔介质中的流体流动可以很简单，但在更现实的三维情况下却并非如此。该提案旨在进行综合的计算和实验研究，以提供更准确的描述流动路径和现实的流体流动以及在这种材料中产生的变形。尽管非破坏性3D成像已经提供了关于多孔材料中的流体分布的许多信息，但是快速且具有成本效益的4D孔隙尺度可视化（即，在一段时间内）仍然非常困难、昂贵和耗时。此外，尽管多孔介质中多相流的可视化在2D模型中得到了广泛的研究，但在4D（甚至3D）中的此类研究很少。该提案的一个目标是开发一种4D方法，用于可视化透明多孔介质中的两相流以及它在蠕动流领域之外（即当流动非常缓慢时）的介质中引起的变形。这一目标将通过从各个角度收集2D图像来实现，然后将其与计算算法一起使用以构建多相流的高度详细的4D图像。将进行详细的计算，其中两相流体流动和由此产生的变形将在相同的多孔介质中进行模拟超过蠕动流。研究人员还将研究和确定从达西制度过渡到Forchheimer并最终发生湍流的临界雷诺数（Re）。在两相流动过程中，润湿性对多孔介质变形的影响也将被研究。多孔介质的不同变形模式也将在广泛的雷诺数和润湿性条件下进行检查。该奖项反映了NSF的法定使命，并已被认为是值得通过使用基金会的智力价值和更广泛的影响审查标准进行评估的支持。

项目成果

Data-driven discovery of the governing equations for transport in heterogeneous media by symbolic regression and stochastic optimization

通过符号回归和随机优化，以数据驱动的方式发现异质介质中传输的控制方程

• DOI: 10.1103/physreve.107.l013301
• 发表时间: 2023
• 期刊: Physical Review E
• 影响因子: 2.4
• 作者: Im, Jinwoo;de Barros, Felipe P.;Masri, Sami;Sahimi, Muhammad;Ziff, Robert M.
• 通讯作者: Ziff, Robert M.

Estimating Dispersion Coefficient in Flow Through Heterogeneous Porous Media by a Deep Convolutional Neural Network

通过深度卷积神经网络估计非均质多孔介质流动的色散系数

• DOI: 10.1029/2021gl094443
• 发表时间: 2021
• 期刊: Geophysical Research Letters
• 影响因子: 5.2
• 作者: Kamrava, Serveh;Im, Jinwoo;Barros, Felipe P.;Sahimi, Muhammad
• 通讯作者: Sahimi, Muhammad

Percolation and conductivity in evolving disordered media

不断演化的无序介质中的渗流和电导率

• DOI: 10.1103/physreve.108.024132
• 发表时间: 2023
• 期刊: Physical Review E
• 影响因子: 2.4
• 作者: Berg, Carl Fredrik;Sahimi, Muhammad
• 通讯作者: Sahimi, Muhammad

Universal Frequency-Dependent Permeability of Heterogeneous Porous Media: Effective–Medium Approximation and Critical-Path Analysis

非均质多孔介质的通用频率相关渗透率：有效介质近似和关键路径分析

• DOI: 10.1007/s11242-022-01839-8
• 发表时间: 2022
• 期刊: Transport in Porous Media
• 影响因子: 2.7
• 作者: Sahimi, Muhammad

The Transition from Darcy to Nonlinear Flow in Heterogeneous Porous Media: I—Single-Phase Flow

• DOI: 10.1007/s11242-024-02070-3
• 发表时间: 2024-03
• 期刊: Transport in Porous Media
• 影响因子: 2.7
• 作者: S. Arbabi;Muhammad Sahimi