Semi-Analytical Three-Dimensional Solute Transport of Sequentially Decaying Species with Mobile-Immobile Regions, Sorption, Decay, and Arbitrary Transient Source

A new solution for advective-dispersive solute transport of sequentially decaying species is developed for a three-dimensional aquifer of finite thickness, finite width, semi-infinite extent along the direction of flow, dual porosity, equilibrium linear sorption, and first-order decay of both the so...

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Bibliographic Details
Published inMathematical geosciences Vol. 54; no. 4; pp. 745 - 762
Main Author Perina, Tomas
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2022
Springer Nature B.V
Subjects
Aquifers
Boundary conditions
Chemistry and Earth Sciences
Coefficients
Computer Science
Decay
Domains
Earth and Environmental Science
Earth Sciences
Geotechnical Engineering & Applied Earth Sciences
Groundwater
Groundwater flow
Hydrogeology
Modelling
Physics
Porosity
Solute transport
Solutes
Sorption
Species
Statistics for Engineering
Three dimensional analysis
Transport
Chain decay
Dual porosity
Solute transport
Analytical solution
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Summary:A new solution for advective-dispersive solute transport of sequentially decaying species is developed for a three-dimensional aquifer of finite thickness, finite width, semi-infinite extent along the direction of flow, dual porosity, equilibrium linear sorption, and first-order decay of both the sorbed and dissolved mass with coefficients that may differ in the mobile and immobile domains, and an arbitrary time-dependent source expressed as a first- or third-type boundary condition over a rectangular patch perpendicular to groundwater flow. The system of equations is solved in closed form in the Laplace domain. The model is benchmarked against a single-species analytical model, MT3DMS, and RT3D. The intended use of the model is to guide the selection of transport parameters for and check the accuracy of more complex numerical solute transport models.
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ISSN:1874-8961
1874-8953
DOI:10.1007/s11004-021-09975-5