Lagrangian modelling of reactive contaminant transport in the multi-component marine medium
SCIE
SCOPUS
Cited 0 time in
WEB OF SCIENCE
Cited 0 time in
Scopus
-
Title
- Lagrangian modelling of reactive contaminant transport in the multi-component marine medium
-
Author(s)
- Brovchenko, Igor; Kim, Kyeong Ok; Maderich, Vladimir; Jung, Kyung Tae; Kovalets, Katheryna
- KIOST Author(s)
- Kim, Kyeong Ok(김경옥)
-
Alternative Author(s)
- 김경옥
-
Publication Year
- 2024-05
-
Abstract
- The particle-tracking method for transporting radionuclides in multicomponent ocean medium (water and multifractional suspended and deposited sediments) is considered using a probabilistic approach for simulating interaction processes between several states of radioactivity. The state transformations as a result of reactions of the first order were described using the master equation for the probability of the particle being in the given state. Transition probabilities between all possible states can be obtained from the numerical solution of the matrix master equation that is derived in the paper. In the first approximation, the Euler method was used to obtain a solution for the next time step. This approach can be applied to any linear system of equations describing phase transitions with any number of states, but it requires small values of the transition probabilities to ensure only a single-phase change during one time step. The paper also focuses on deriving the Lagrangian interface conditions between the water column and bottom deposition. To apply the probabilistic approach, the boundary conditions were considered as the reaction terms in a thin near-bottom interface layer in which boundary conditions were converted into source terms. For this layer, the corresponding master equation was derived to obtain transitional probabilities for particle states. The developed approaches were tested on numerical and analytical solutions of two test cases. It was found that the optimal thickness of the interface layer must be larger than the maximum vertical displacement of the particle during the one-time step, but it must be small enough to approximate the condition of uniform distribution of concentration in this layer. © 2024 Elsevier Ltd
-
ISSN
- 0098-3004
-
URI
- https://sciwatch.kiost.ac.kr/handle/2020.kiost/45471
-
DOI
- 10.1016/j.cageo.2024.105579
-
Bibliographic Citation
- Computers and Geosciences, v.187, 2024
-
Publisher
- Pergamon Press Ltd.
-
Keywords
- Master equation; Particle-tracking method; Reactive radionuclides in ocean; Water-sediment boundary conditions
-
Type
- Article
-
Language
- English
-
Document Type
- Article
- Files in This Item:
-
There are no files associated with this item.
Items in ScienceWatch@KIOST are protected by copyright, with all rights reserved, unless otherwise indicated.