# Solution of the advective-dispersive groundwater mass transport equation using Fourier transforms and the finite analytical method.

http://hdl.handle.net/10150/186862
Title:
Solution of the advective-dispersive groundwater mass transport equation using Fourier transforms and the finite analytical method.
Author:
Kaboudanian-Ardestani, Mojtaba.
Issue Date:
1994
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
!The advective-dispersive equation is used extensively in studying and analyzing the transport of contaminants through groundwater systems. In this dissertation, the development and evaluation of a new numerical scheme for an efficient solution of groundwater solute transport problems is presented. The scheme, which is named the Finite Analytical/Fourier Transform Method (FAFM) is based on taking the Fourier transform of the transient equation in the physical domain. The transformed equation resembles a steady-state advective-dispersive equation with a first-order decay term. The FAFM approach for solving the advective-dispersive problem consists of decomposing the spatial domain into a number of fine homogeneous finite elements within each of which a local analytical solution to the solute transport equation can be obtained. The Finite Analytical method uses the local analytical solution to form a set of algebraic equations for the concentration in the frequency domain. Initial conditions in the time and frequency domains must match one another. If they do not, adjustments in the boundary conditions in the time domain for t < 0 have to be made. Time-domain solutions are then recovered from the frequency domain by using an efficient inverse Fourier transform algorithm. The results obtained indicate that the FAFM performs well over a very wide range of Peclet numbers. A comparison with the exact solutions for a number of simple cases reveals the accuracy of the FAFM technique. It is expected that the method will provide good solutions for the problems in which such exact analytical solutions do not exist.
Type:
text; Dissertation-Reproduction (electronic)
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Civil Engineering and Engineering Mechanics; Graduate College
Degree Grantor:
University of Arizona
Committee Chair:
Contractor, Dinshaw N.

DC FieldValue Language
dc.language.isoenen_US
dc.titleSolution of the advective-dispersive groundwater mass transport equation using Fourier transforms and the finite analytical method.en_US
dc.creatorKaboudanian-Ardestani, Mojtaba.en_US
dc.contributor.authorKaboudanian-Ardestani, Mojtaba.en_US
dc.date.issued1994en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstract!The advective-dispersive equation is used extensively in studying and analyzing the transport of contaminants through groundwater systems. In this dissertation, the development and evaluation of a new numerical scheme for an efficient solution of groundwater solute transport problems is presented. The scheme, which is named the Finite Analytical/Fourier Transform Method (FAFM) is based on taking the Fourier transform of the transient equation in the physical domain. The transformed equation resembles a steady-state advective-dispersive equation with a first-order decay term. The FAFM approach for solving the advective-dispersive problem consists of decomposing the spatial domain into a number of fine homogeneous finite elements within each of which a local analytical solution to the solute transport equation can be obtained. The Finite Analytical method uses the local analytical solution to form a set of algebraic equations for the concentration in the frequency domain. Initial conditions in the time and frequency domains must match one another. If they do not, adjustments in the boundary conditions in the time domain for t < 0 have to be made. Time-domain solutions are then recovered from the frequency domain by using an efficient inverse Fourier transform algorithm. The results obtained indicate that the FAFM performs well over a very wide range of Peclet numbers. A comparison with the exact solutions for a number of simple cases reveals the accuracy of the FAFM technique. It is expected that the method will provide good solutions for the problems in which such exact analytical solutions do not exist.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineCivil Engineering and Engineering Mechanicsen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.chairContractor, Dinshaw N.en_US
dc.contributor.committeememberKundu, Tribikramen_US
dc.contributor.committeememberKiousis, Panosen_US
dc.contributor.committeememberSlack, Donald C.en_US
dc.identifier.proquest9506993en_US