发表机构
University of Stuttgart（斯图加特大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究提出并分析了一种改进的混合维Stokes-Darcy模型，用于描述裂隙多孔介质中的流体流动，该模型考虑了通道壁粗糙度并适用于任意流动方向，证明了弱解的存在唯一性，并通过孔隙尺度模拟验证了其优越性。
AI 中文摘要
多孔介质中的薄流体填充通道在包括地质构造裂隙在内的广泛环境背景中普遍存在。此类多域系统中的流体输运通常由Darcy定律描述，并在全维框架或混合维方法中表述，其中裂隙被表示为封闭在多孔基质中的余维一夹杂物。这些混合维模型能够精确表示相应的全维系统，同时显著降低计算复杂度。文献中现有的模型在裂隙-基质界面上施加耦合条件时，通常不能恰当地考虑通道壁粗糙度，并且通常针对平行于裂隙的流动方向而开发。本工作的目标是推进并研究作者在先前工作中开发的混合维Stokes-Darcy模型。我们考虑嵌入多孔基质中的薄开放通道，其中通道壁与具有不同渗透率的多孔区域接触。我们将通道壁粗糙度效应纳入模型，并对其进行改进以适应任意流动方向。我们证明了新模型弱解的存在性和唯一性，并使用孔隙尺度解析模拟展示了其相对于现有混合维Stokes-Darcy模型的优势。
英文摘要
Thin fluid-filled channels in porous media are prevalent in a wide range of environmental settings including fractures in geological formations. Transport of fluid in such multi-domain systems is commonly described by Darcy's law and formulated either in a fully dimensional framework or through a hybrid-dimensional approach, where fractures are represented as inclusions of co-dimension one enclosed in the porous matrix. These mixed-dimensional models enable accurate representation of the corresponding full-dimensional systems while significantly reducing computational complexity. Models available in literature usually do not properly account for channel-wall roughness while applying coupling conditions on the fracture-matrix interface and are usually developed for flow directions parallel to the fracture. The goal of this work is to advance and study the hybrid-dimensional Stokes-Darcy model developed by the authors in their previous work. We consider a thin open channel embedded within a porous matrix, where the channel walls are in contact with porous regions of distinct permeabilities. We incorporate channel-wall roughness effects into the model and improve it to accommodate arbitrary flow directions. We prove existence and uniqueness of the weak solution for the new model and demonstrate its advantages over existing hybrid-dimensional Stokes-Darcy models using pore-scale resolved simulations.
