发表机构
University of Stuttgart; Stuttgart Center for Simulation Science, University of Stuttgart; Helmholtz Centre for Environmental Research; Department Technical Biogeochemistry, Helmholtz Centre for Environmental Research; Department of Chemical and Biological Engineering, Center for Biofilm Engineering, Montana State University; Department of Hydromechanics and Modelling of Hydrosystems, University of Stuttgart（斯图加特大学; 斯图加特大学斯图加特模拟科学中心; 亥姆霍兹环境研究中心; 亥姆霍兹环境研究中心技术生物地球化学系; 蒙大拿州立大学生物膜工程中心化学与生物工程学系; 斯图加特大学水力学及水系统建模系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出一种基于严格垂直平均化推导的伪三维斯托克斯求解器，用于高效计算具有动态孔隙结构的渗透率，并通过与三维求解器及实验对比验证了其准确性和效率。
AI 中文摘要
计算具有动态变化孔隙形态的多孔材料的有效水力性质，在理论科学和应用科学中都是一个复杂且关键的挑战。本文提出了一种工具，利用碳酸钙沉淀的微流控实验快照样本，有效计算具有时间和空间变化孔隙结构的域的内在渗透率k(x,t)。为了以合理的成本计算大型域，采用了带有额外粘性阻力项的伪三维斯托克斯求解器。为了模拟具有高度非均质孔隙空间复杂域，我们从零开始推导了包含垂直平均阻力项的垂直平均控制方程，且不引入限制性假设。对于具有固定固体边界的矩形通道内不同尺寸的示例性沉淀物（半球体），结果在多种建模方法之间进行了比较，每种方法采用不同的阻力公式。此外，所推导模型的性能在EICP实验的片段上进行了检验，包括准确性（与三维求解器比较）和计算效率。最后，使用整个实验域来展示求解器凭借其效率和准确性所提供的能力，并计算了渗透率张量k，与实验结果进行了比较。在所有应用中，垂直平均阻力项在速度和准确性方面被证明是最优解决方案，从而能够有效分析由孔隙空间变化引起的局部流体流动波动的非均匀性。
英文摘要
Computing effective hydraulic properties of porous materials with a dynamically changing pore morphology presents a complex and critical challenge in both theoretical and applied sciences. This paper presents a tool to effectively compute the intrinsic permeability k(x,t) for domains with both temporally and spatially varying pore structures, by utilizing a sample of snapshots of microfluidic experiments with calcium carbonate precipitation. To compute large domains at reasonable cost, a pseudo-3D Stokes solver with an additional viscous drag term is employed. In order to simulate the intricate domains with highly heterogeneous pore space, we derive vertically averaged governing equations including a vertically averaged drag term from scratch and without limiting assumptions. For exemplary precipitates (semi-spheres) of varying sizes within a rectangular channel with fixed solid boundaries, results are compared across multiple modeling approaches, each employing different drag force formulations. In addition, the performance of the derived models is examined for segments of an EICP experiment in terms of accuracy (comparison with 3D solvers) and computational efficiency. Finally, an entire experimental domain is used to demonstrate the capabilities offered by the solver thanks to its efficiency as well as accuracy and the permeability tensor k is computed and compared with experimental results. In all these applications, the vertically averaged drag term proves to be the optimal solution in terms of speed and accuracy, thus allowing for an efficient analysis of the non-uniformity of local fluid flow fluctuations resulting from alterations in the pore space.
Comments29 pages, 7 figures
