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Volume 33, Issue 1
A Simulation Approach Including Underresolved Scales for Two-Component Fluid Flows in Multiscale Porous Structures

Hiroshi Otomo, Rafael Salazar-Tio, Jingjing Yang, Hongli Fan, Andrew Fager, Bernd Crouse, Raoyang Zhang & Hudong Chen

DOI: 10.4208/cicp.OA-2022-0037

Commun. Comput. Phys., 33 (2023), pp. 189-213.

Published online: 2023-02

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  • Abstract

In this study, we develop computational models and a methodology for accurate multicomponent flow simulation in underresolved multiscale porous structures [1]. It is generally impractical to fully resolve the flow in porous structures with large length-scale differences due to the tremendously high computational expense. The flow contributions from underresolved scales should be taken into account with proper physics modeling and simulation processes. Using precomputed physical properties such as the absolute permeability, $K_0,$ the capillary pressure-saturation curve, and the relative permeability, $K_r,$ in typical resolved porous structures, the local fluid force is determined and applied to simulations in the underresolved regions, which are represented by porous media. In this way, accurate flow simulations in multiscale porous structures become feasible.
To evaluate the accuracy and robustness of this method, a set of benchmark test cases are simulated for both single-component and two-component flows in artificially constructed multiscale porous structures. Using comparisons with analytic solutions and results with much finer resolution resolving the porous structures, the simulated results are examined. Indeed, in all cases, the results successfully show high accuracy with proper input of $K_0,$ capillary pressure, and $K_r.$ Specifically, imbibition patterns, entry pressure, residual component patterns, and absolute/relative permeability are accurately captured with this approach.

  • Keywords

Multiscale simulation, porous media, multicomponent flow, lattice Boltzmann method.

  • AMS Subject Headings

52B10, 65D18, 68U05, 68U07

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-33-189, author = {Otomo , HiroshiSalazar-Tio , RafaelYang , JingjingFan , HongliFager , AndrewCrouse , BerndZhang , Raoyang and Chen , Hudong}, title = {A Simulation Approach Including Underresolved Scales for Two-Component Fluid Flows in Multiscale Porous Structures}, journal = {Communications in Computational Physics}, year = {2023}, volume = {33}, number = {1}, pages = {189--213}, abstract = {

In this study, we develop computational models and a methodology for accurate multicomponent flow simulation in underresolved multiscale porous structures [1]. It is generally impractical to fully resolve the flow in porous structures with large length-scale differences due to the tremendously high computational expense. The flow contributions from underresolved scales should be taken into account with proper physics modeling and simulation processes. Using precomputed physical properties such as the absolute permeability, $K_0,$ the capillary pressure-saturation curve, and the relative permeability, $K_r,$ in typical resolved porous structures, the local fluid force is determined and applied to simulations in the underresolved regions, which are represented by porous media. In this way, accurate flow simulations in multiscale porous structures become feasible.
To evaluate the accuracy and robustness of this method, a set of benchmark test cases are simulated for both single-component and two-component flows in artificially constructed multiscale porous structures. Using comparisons with analytic solutions and results with much finer resolution resolving the porous structures, the simulated results are examined. Indeed, in all cases, the results successfully show high accuracy with proper input of $K_0,$ capillary pressure, and $K_r.$ Specifically, imbibition patterns, entry pressure, residual component patterns, and absolute/relative permeability are accurately captured with this approach.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2022-0037}, url = {http://global-sci.org/intro/article_detail/cicp/21431.html} }
TY - JOUR T1 - A Simulation Approach Including Underresolved Scales for Two-Component Fluid Flows in Multiscale Porous Structures AU - Otomo , Hiroshi AU - Salazar-Tio , Rafael AU - Yang , Jingjing AU - Fan , Hongli AU - Fager , Andrew AU - Crouse , Bernd AU - Zhang , Raoyang AU - Chen , Hudong JO - Communications in Computational Physics VL - 1 SP - 189 EP - 213 PY - 2023 DA - 2023/02 SN - 33 DO - http://doi.org/10.4208/cicp.OA-2022-0037 UR - https://global-sci.org/intro/article_detail/cicp/21431.html KW - Multiscale simulation, porous media, multicomponent flow, lattice Boltzmann method. AB -

In this study, we develop computational models and a methodology for accurate multicomponent flow simulation in underresolved multiscale porous structures [1]. It is generally impractical to fully resolve the flow in porous structures with large length-scale differences due to the tremendously high computational expense. The flow contributions from underresolved scales should be taken into account with proper physics modeling and simulation processes. Using precomputed physical properties such as the absolute permeability, $K_0,$ the capillary pressure-saturation curve, and the relative permeability, $K_r,$ in typical resolved porous structures, the local fluid force is determined and applied to simulations in the underresolved regions, which are represented by porous media. In this way, accurate flow simulations in multiscale porous structures become feasible.
To evaluate the accuracy and robustness of this method, a set of benchmark test cases are simulated for both single-component and two-component flows in artificially constructed multiscale porous structures. Using comparisons with analytic solutions and results with much finer resolution resolving the porous structures, the simulated results are examined. Indeed, in all cases, the results successfully show high accuracy with proper input of $K_0,$ capillary pressure, and $K_r.$ Specifically, imbibition patterns, entry pressure, residual component patterns, and absolute/relative permeability are accurately captured with this approach.

Otomo , HiroshiSalazar-Tio , RafaelYang , JingjingFan , HongliFager , AndrewCrouse , BerndZhang , Raoyang and Chen , Hudong. (2023). A Simulation Approach Including Underresolved Scales for Two-Component Fluid Flows in Multiscale Porous Structures. Communications in Computational Physics. 33 (1). 189-213. doi:10.4208/cicp.OA-2022-0037
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