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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| Published in | Mathematical geosciences Vol. 54; no. 4; pp. 745 - 762 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.05.2022
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1874-8961 1874-8953 |
| DOI | 10.1007/s11004-021-09975-5 |
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| Abstract | 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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| AbstractList | 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. |
| Author | Perina, Tomas |
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| CitedBy_id | crossref_primary_10_1016_j_jhydrol_2024_132128 |
| Cites_doi | 10.3390/en12193740 10.5194/hess-20-733-2016 10.1016/S0169-7722(00)00094-2 10.1029/95WR10583 10.1016/j.cageo.2004.02.001 10.1007/s11242-009-9368-3 10.1029/1998WR900003 10.1016/j.advwatres.2016.06.004 10.1016/0022-1694(95)02891-9 10.1029/91WR02301 10.1023/A:1016023526537 10.1016/j.jconhyd.2012.04.002 10.1029/WR026i002p00339 10.1023/A:1006680109002 10.1016/S0169-7722(00)00195-9 10.1016/j.jhydrol.2011.12.001 10.1111/gwat.12338 10.1016/j.advwatres.2004.02.013 10.1016/j.jhydrol.2019.124164 10.1016/0022-1694(93)90236-3 10.1016/j.jhydrol.2012.06.017 10.1111/j.1745-6584.2010.00753 10.1137/0903022 10.1016/j.jhydrol.2005.05.020 10.1002/wrcr.20230 10.1016/j.advwatres.2007.08.002 10.1098/rsos.140348 10.1029/2000WR900239 |
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| Keywords | Chain decay Dual porosity Solute transport Analytical solution |
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| References_xml | – reference: NevilleCJCompilation of analytical solutions for solute transport in uniform flow1994Bethseda, MDS.S. Papadopulos & Associates, Inc. – reference: SimpsonMJMorrowLCAnalytical model of reactive transport processes with spatially variable coefficientsR Soc Open Sci2015214034810.1098/rsos.140348 – reference: SunYPetersenJNBuscheckTANitaoJJAnalytical solutions for reactive transport of multiple volatile contaminants in the vadose zoneTransp Porous Media20024917519010.1023/A:1016023526537 – reference: SrinivasanVClementTPAnalytical solutions for sequentially coupled one-dimensional reactive transport problems—Part I: mathematical derivationsAdv Water Resour20083120321810.1016/j.advwatres.2007.08.002 – reference: ChenJSHoYCLiangCPWangSWLiuCWSemi-analytical model for coupled multispecies advective-dispersive transport subject to rate-limited sorptionJ Hydrol201910.1016/j.jhydrol.2019.124164 – reference: QuezadaCRClementTPLeeKKGeneralized solution to multi-dimensional multi-species transport equations coupled with a first-order reaction network involving distinct retardation factorsAdv Water Resour20042750752010.1016/j.advwatres.2004.02.013 – reference: ClementTPGeneralized solution to multispecies transport equations coupled with a first-order reaction networkWater Resour Res200137115716310.1029/2000WR900239 – reference: ChurchillRVOperational mathematics19723New YorkMcGraw-Hill Book Company – reference: Clement TP (1997) RT3D (Version 1.0) A Modular Computer Code for Simulating Reactive Multispecies Transport in 3-Dimensional Groundwater Systems. Pacific Northwest National Laboratory, PNNL-11720 – reference: ChenJSLiuCWLiangCPLaiKHGeneralized analytical solutions to sequentially coupled multi-species advective-dispersive transport equations in a finite domain subject to an arbitrary time-dependent source boundary conditionJ Hydrol2012456–45710110910.1016/j.jhydrol.2012.06.017 – reference: LeijFJTorideNvan GenuchtenMTAnalytical solutions for non-equilibrium solute transport in three-dimensional porous mediaJ Hydrol199315119322810.1016/0022-1694(93)90236-3 – reference: MoenchAFConvergent radial dispersion: a note on evaluation of the Laplace transform solutionWater Resour Res199127123261326410.1029/91WR02301 – reference: BouphaKJacobsJMHatfieldKMDL Groundwater software: laplace transforms and the De Hoog algorithm to solve contaminant transport equationsComput Geosci20043044545310.1016/j.cageo.2004.02.001 – reference: MoltzFAdvection, dispersion, and confusionGroundwater201453334835310.1111/gwat.12338 – reference: NevilleCJIbarakiMSudickyEASolute transport with multiprocess nonequilibrium: a semi-analytical solution approachJ Contam Hydrol20004414115910.1016/S0169-7722(00)00094-2 – reference: PetersenJNSunYAn analytical solution evaluating steady-state plumes of sequentially reactive contaminantsTransp Porous Media20004128730310.1023/A:1006680109002 – reference: Zheng C, Wang PP (1999) MT3DMS A modular three-dimensional multispecies transport model for simulation of advection, dispersion and chemical reactions of contaminants in groundwater systems. U.S, Army Corps of Engineers, Strategic Environmental Research and Development Program, November – reference: Wexler E (1992) Analytical solutions for one-, two-, and three-dimensional solute transport in groundwater systems with uniform flow. In Techniques of Water Resources Investigations of the United States Geological Survey, chap. B7, Book 3, Applications of Hydraulics, 53–55 – reference: ZhengCBianchiMGorelickSMLessons learned from 25 years of research at the MADE siteGround Water201149564966210.1111/j.1745-6584.2010.00753 – reference: ChenJSLaiKHLiuCWNiCFA novel method for analytically solving multi-species advective-dispersive transport equations sequentially coupled with first-order decay reactionsJ Hydrol2012420–42119120410.1016/j.jhydrol.2011.12.001 – reference: Zheng C, Bennett GC (1995) Applied Contaminant Transport Modeling. Van Nostrand Reinhold, A Division of International Thompson Publishing Inc., New York – reference: BauerPAttingerSKinzelbachWTransport of a decay chain in homogeneous porous media: analytical solutionsJ Contam Hydrol2001492173910.1016/S0169-7722(00)00195-9 – reference: Pérez GuerreroJSSkaggsTHvan GenuchtenMTAnalytical solution for multi-species contaminant transport subject to sequential first-order decay reactions in finite mediaTransp Porous Media20098037338710.1007/s11242-009-9368-3 – reference: MielesJZhanHAnalytical solutions of one-dimensional multispecies reactive transport in a permeable reactive barrier-aquifer systemJ Contam Hydrol2012134–135546810.1016/j.jconhyd.2012.04.002 – reference: ChenJSLiangCPChangCHWanMHSimulating three-dimensional plume migration of a radionuclide decay chain through groundwaterEnergies201912374010.3390/en12193740 – reference: Batu V, van Genuchten MT (1990) First- and third-type boundary conditions in twodimensional solute transport modeling. 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| SubjectTerms | 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 |
| Title | Semi-Analytical Three-Dimensional Solute Transport of Sequentially Decaying Species with Mobile-Immobile Regions, Sorption, Decay, and Arbitrary Transient Source |
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