Title: | Relating Darcy-Scale Chemical Reaction Order to Pore-Scale Spatial Heterogeneity | Authors: | Huang, Po Wei Flemisch, Bernd Qin, Chao Zhong Saar, Martin O. Ebigbo, Anozie |
Language: | eng | Keywords: | Mineral dissolution;Reaction rate law;Reactive transport;Upscaling | Issue Date: | 1-Sep-2022 | Document Type: | Article | Journal / Series / Working Paper (HSU): | Transport in Porous Media | Volume: | 144 | Page Start: | 507 | Page End: | 543 | Abstract: | Due to spatial scaling effects, there is a discrepancy in mineral dissolution rates measured at different spatial scales. Many reasons for this spatial scaling effect can be given. We investigate one such reason, i.e., how pore-scale spatial heterogeneity in porous media affects overall mineral dissolution rates. Using the bundle-of-tubes model as an analogy for porous media, we show that the Darcy-scale reaction order increases as the statistical similarity between the pore sizes and the effective-surface-area ratio of the porous sample decreases. The analytical results quantify mineral spatial heterogeneity using the Darcy-scale reaction order and give a mechanistic explanation to the usage of reaction order in Darcy-scale modeling. The relation is used as a constitutive relation of reactive transport at the Darcy scale. We test the constitutive relation by simulating flow-through experiments. The proposed constitutive relation is able to model the solute breakthrough curve of the simulations. Our results imply that we can infer mineral spatial heterogeneity of a porous media using measured solute concentration over time in a flow-through dissolution experiment. |
Organization Units (connected with the publication): | Hydromechanik | ISSN: | 0169-3913 1573-1634 |
Verlags-DOI: | 10.1007/s11242-022-01817-0 |
Appears in Collections: | 3 - Publication references (without fulltext) |
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