Modeling Mixing in Stratified Heterogeneous Media: The Role of Water Velocity Discretization in Phase Space Formulation
| Autor: | Joaquim Soler-Sagarra, Jesus Carrera, Enrique Bonet, Carles Roig, Pablo Becker |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. Doctorat en Enginyeria Civil |
| Rok vydání: | 2022 |
| Předmět: |
Anàlisi numèrica
Energies [Àrees temàtiques de la UPC] MAWMA General Chemical Engineering Matemàtiques i estadística [Àrees temàtiques de la UPC] Reactive transport Transport Dispersion Catalysis Enginyeria civil::Impacte ambiental [Àrees temàtiques de la UPC] Mixing Transport Teoria del -- Models matemàtics Water mixing Heterogenity Enginyeria civil::Geologia [Àrees temàtiques de la UPC] |
| Zdroj: | Transport in Porous Media. 146:395-412 |
| ISSN: | 1573-1634 0169-3913 |
| Popis: | Modeling solute transport in heterogeneous porous media faces two challenges: scale dependence of dispersion and reproducing mixing separately from spreading. Both are crucial since real applications may require km scales whereas reactions, often controlled by mixing, may occur at the pore scale. Methods have been developed in response to these challenges, but none has satisfactorily characterized both processes. In this paper, we propose a formulation based on the Water Mixing Approach extended to account for velocity variability. Velocity is taken as an independent variable, so that concentration depends on time, space and velocity. Therefore, we term the formulation the Multi-Advective Water Mixing Approach. A new mixing term between velocity classes emerges in this formulation. We test it on Poiseuille’s stratified flow using the Water Parcel method. Results show high accuracy of the formulation in both dispersion and mixing. Moreover, the mixing process exhibits Markovianity in space even though it is modeled in time. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink