An analytical model for simulating two-dimensional multispecies plume migration

NCUIR > College of Earth Sciences > Graduate Institute of Applied Geology > journal & Dissertation > Item 987654321/108538

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/108538

Title:	An analytical model for simulating two-dimensional multispecies plume migration
Authors:	陳瑞昇;Chen, Jui-Sheng;Liang, Ching-Ping;Liu, Chen-Wuing;Li, Loretta Y.
Contributors:	地球科學學院應用地質研究所
Keywords:	Advection;Analysis;Animal behavior;Boundary conditions;Computer simulation;Contaminants;Decay;Decomposition;Domains;Economic models;Exact solutions;Groundwater;Integral transforms;Inversions;Linear algebra;Mathematical models;Migration;Partial differential equations;Plume behavior;Radioisotopes;Robustness (mathematics);Solutions;Two dimensional analysis;Two dimensional models
Date:	2016-02-18
Issue Date:	2026-04-23 14:54:15 (UTC+8)
Publisher:	European Geosciences Union;Katlenburg-Lindau: Copernicus Publications
Abstract:	摘要： The two-dimensional advection-dispersion equations coupled with sequential first-order decay reactions involving arbitrary number of species in groundwater system is considered to predict the two-dimensional plume behavior of decaying contaminant such as radionuclide and dissolved chlorinated solvent. Generalized analytical solutions in compact format are derived through the sequential application of the Laplace, finite Fourier cosine, and generalized integral transform to reduce the coupled partial differential equation system to a set of linear algebraic equations. The system of algebraic equations is next solved for each species in the transformed domain, and the solutions in the original domain are then obtained through consecutive integral transform inversions. Explicit form solutions for a special case are derived using the generalized analytical solutions and are compared with the numerical solutions. The analytical results indicate that the analytical solutions are robust, accurate and useful for simulation or screening tools to assess plume behaviors of decaying contaminants. 出版者： Katlenburg-Lindau: Copernicus Publications 出版日期： 2016-02-18 出處： Hydrology and earth system sciences, 2016-02, Vol.20 (2), p.733-753 資源來源： Agricultural & Environmental Science Collection 版權： COPYRIGHT 2016 Copernicus GmbH 版權： Copyright Copernicus GmbH 2016 版權： 2016. This work is published under http://creativecommons.org/licenses/by/3.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. 識別號： ISSN: 1607-7938 識別號： ISSN: 1027-5606 識別號： EISSN: 1607-7938 識別號： DOI: 10.5194/hess-20-733-2016
Appears in Collections:	[Graduate Institute of Applied Geology] journal & Dissertation

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