NDLI: A semi-analytical solution for linearized multicomponent cation exchange reactive transport in groundwater

Content Provider	Springer Nature Link
Author	Samper Calvete, Javier Yang, Changbing
Copyright Year	2006
Abstract	Cation exchange in groundwater is one of the dominant surface reactions. Mass transfer of cation exchanging pollutants in groundwater is highly nonlinear due to the complex nonlinearities of exchange isotherms. This makes difficult to derive analytical solutions for transport equations. Available analytical solutions are valid only for binary cation exchange transport in 1-D and often disregard dispersion. Here we present a semi-analytical solution for linearized multication exchange reactive transport in steady 1-, 2- or 3-D groundwater flow. Nonlinear cation exchange mass–action–law equations are first linearized by means of a first-order Taylor expansion of log-concentrations around some selected reference concentrations and then substituted into transport equations. The resulting set of coupled partial differential equations (PDEs) are decoupled by means of a matrix similarity transformation which is applied also to boundary and initial concentrations. Uncoupled PDE’s are solved by standard analytical solutions. Concentrations of the original problem are obtained by back-transforming the solution of uncoupled PDEs. The semi-analytical solution compares well with nonlinear numerical solutions computed with a reactive transport code (CORE$^{2D}$) for several 1-D test cases involving two and three cations having moderate retardation factors. Deviations of the semi-analytical solution from numerical solutions increase with increasing cation exchange capacity (CEC), but do not depend on Peclet number. The semi-analytical solution captures the fronts of ternary systems in an approximate manner and tends to oversmooth sharp fronts for large retardation factors. The semi-analytical solution performs better with reference concentrations equal to the arithmetic average of boundary and initial concentrations than it does with reference concentrations derived from the arithmetic average of log-concentrations of boundary and initial waters.
Starting Page	67
Ending Page	88
Page Count	22
File Format	PDF
ISSN	01693913
Journal	Transport in Porous Media
Volume Number	69
Issue Number	1
e-ISSN	15731634
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2006-12-02
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Cation exchange Analytical solution Similarity transformation Reactive transport Taylor expansion CORE2D Mechanics, Fluids, Thermodynamics Hydrogeology Civil Engineering Industrial Chemistry/Chemical Engineering Geotechnical Engineering
Content Type	Text
Resource Type	Article
Subject	Catalysis

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

A Subgrid-Scale Stabilized Finite Element Method for Multicomponent Reactive Transport through Porous Media

Some Analytical Solutions for Groundwater Flow and Transport Equation

Modeling reactive transport using exact solutions for first-order reaction networks

An Analytical Solution of Tetrachloroethylene Transport and Biodegradation

An Analytical Solution for Contaminant Transport in nonuniform Flow

Singular Value Decomposition Method for Multi-species First-order Reactive Transport with Identical Decay Rates

An Analytical Solution Evaluating Steady-State Plumes of Sequentially Reactive Contaminants

Multicomponent NAPL Solidification Thermodynamics

A Semi-Analytical Solution for Large-Scale Injection-Induced Pressure Perturbation and Leakage in a Laterally Bounded Aquifer–Aquitard System

A semi-analytical solution for linearized multicomponent cation exchange reactive transport in groundwater

Similar Documents

A Subgrid-Scale Stabilized Finite Element Method for Multicomponent Reactive Transport through Porous Media

Some Analytical Solutions for Groundwater Flow and Transport Equation

Modeling reactive transport using exact solutions for first-order reaction networks

An Analytical Solution of Tetrachloroethylene Transport and Biodegradation

An Analytical Solution for Contaminant Transport in nonuniform Flow

Singular Value Decomposition Method for Multi-species First-order Reactive Transport with Identical Decay Rates

An Analytical Solution Evaluating Steady-State Plumes of Sequentially Reactive Contaminants

Multicomponent NAPL Solidification Thermodynamics

A Semi-Analytical Solution for Large-Scale Injection-Induced Pressure Perturbation and Leakage in a Laterally Bounded Aquifer–Aquitard System

A semi-analytical solution for linearized multicomponent cation exchange reactive transport in groundwater