Wetting in porous media

多孔介质中的润湿

• 批准号: 5234116
• 负责人: Professor Dr. Klaus Mecke
• 金额: --
• 依托单位: Institut für Theoretische Physik
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2000
• 资助国家: 德国
• 起止时间: 1999-12-31 至 2004-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/5234116?language=en
• 关键词: Wetting; porous; media

The characterization and realistic modelling of random disordered materials as diverse as soils, sedimentary rocks, wood, bone, paper, polymer composites, catalysts, coatings, ceramics has been a major problem for physicists, earth scientists and engineers for many years. Nevertheless, the prediction of mechanical and optical properties of the material, as well as the prediction of transport and phase behavior of fluids in porous structures from measures of the morphology and topology is still an unsolved problem. Starting from a microscopic density functional for inhomogeneous fluids in porous media, we aim in this project to determine the dependence of thermodynamic quantities such as the free energy and the wetting behavior of a fluid on the geometry of the substrate. The porous substrate is modelled by overlapping grains (Boolean grain model) and is characterized by structure functions and morphological measures such as volume, surface area, integral mean curvature, and the connectivity of the pores. These measures are known as Minkowski functionals in integral geometry which provides powerful theorems to make the calculus convenient. In particular, the concept of parallel surfaces allows one to determine how physical phenomena such as wetting, capillary condensation and two-phase flow depend on the random structure and the morphology of the pores. The complicated pore structure of an interconnected three-dimensional network of capillary channels of nonuniform sizes and shapes distinguishes a porous medium from any other solid or planar substrate. The project attempts to connect the two main factors, morphology and interfacial effects such as surface energies and wettability, in order to predict phase behavior and transport of fluids in porous media.

多年来，土壤、沉积岩、木材、骨骼、纸张、聚合物复合材料、催化剂、涂料、陶瓷等各种随机无序材料的表征和现实建模一直是物理学家、地球科学家和工程师面临的一个主要问题。然而，材料的力学和光学性质的预测，以及从形貌和拓扑的测量中预测流体在多孔结构中的输运和相行为仍然是一个未解决的问题。从多孔介质中非均匀流体的微观密度泛函开始，我们的目标是在这个项目中确定热力学量，如自由能和流体的润湿行为对基材几何形状的依赖。多孔基质由重叠颗粒（布尔颗粒模型）建模，并以结构功能和形态测量（如体积、表面积、积分平均曲率和孔隙的连通性）为特征。这些测度在积分几何中被称为闵可夫斯基泛函，它提供了强大的定理，使微积分变得方便。特别是，平行表面的概念使人们能够确定诸如润湿、毛细凝结和两相流等物理现象如何依赖于孔隙的随机结构和形态。多孔介质不同于任何其他固体或平面基质，其复杂的孔隙结构是由大小和形状不均匀的毛细管通道组成的相互连接的三维网络。该项目试图将两个主要因素，形貌和界面效应（如表面能和润湿性）联系起来，以预测流体在多孔介质中的相行为和输运。