Publication Details

Category Text Publication
Reference Category Journals
DOI 10.1016/j.advwatres.2024.104860
Licence creative commons licence
Title (Primary) A novel geometry-informed drag term formulation for pseudo-3D Stokes simulations with varying apertures
Author Krach, D.; Weinhardt, F. ORCID logo ; Wang, M.; Schneider, M.; Class, H.; Steeb, H.
Source Titel Advances in Water Resources
Year 2025
Department TECH
Volume 195
Page From art. 104860
Language englisch
Topic T7 Bioeconomy
Data and Software links https://doi.org/10.18419/darus-4313
https://doi.org/10.18419/darus-4347
Keywords Porous media; Stokes flow; Biomineralization; Microfluidics; Image-based simulations; Computational efficiency versus accuracy
Abstract Alterations in the pore morphology of porous materials cause changes to the characteristic hydraulic properties, which are mostly non-linear and inherently difficult to predetermine. Assuming the alterations are known with sufficient accuracy, the relation between the altered pore structure, measured in terms of porosity, and intrinsic permeability may be determined by simulations with enormous computational effort. We focus on microfluidic experiments during the course of which the pore space becomes increasingly occupied with solid precipitate over elapsed process time. To analyze these domains, we present a novel geometry-informed drag formulation which allows for solving pseudo-3D Stokes equations for image-based input data of clogging porous media with accuracy and efficiency. In a pre-processing step, local pore space properties are analyzed and employed to spatially vary the magnitude of the drag term, which reflects the influence of neglected 3D effects. Calibration and validation is achieved through fully 3D Finite Difference Stokes simulations of different benchmark cases. With the proposed formulation we achieve the high accuracy of the pseudo-3D methods as far as permeability is concerned (<30% deviation), but also with respect to local velocities, for a microfluidic domain throughout the clogging process. Noteworthy, the computational cost is being reduced to less than 1%. Combining the efficiency of a Stokes 2D simulation and accuracy of a 3D model the presented approach is rendered an interesting option to investigate remaining open questions, for example on anisotropy of effective hydraulic parameters during the clogging process.
Persistent UFZ Identifier https://www.ufz.de/index.php?en=20939&ufzPublicationIdentifier=30096
Krach, D., Weinhardt, F., Wang, M., Schneider, M., Class, H., Steeb, H. (2025):
A novel geometry-informed drag term formulation for pseudo-3D Stokes simulations with varying apertures
Adv. Water Resour. 195 , art. 104860 10.1016/j.advwatres.2024.104860