USGS

ANALYTICAL SOLUTIONS FOR ONE-, TWO-, AND THREE-DIMENSIONAL SOLUTE TRANSPORT IN GROUND-WATER SYSTEMS WITH UNIFORM FLOW

US Geological Survey, Techniques of Water-Resources Investigations, Book 3, Chapter B7

By Eliezer J Wexler


Table of Contents

Abstract

Introduction

Purpose and scope

Previous studies

Acknowledgments

Theoretical background

Advection

Molecular diffusion

Mechanical dispersion

Hydrodynamic dispersion

Advective-dispersive solute-transport equation

Chemical transformation

Linear equilibrium adsorption

Ion exchange

First-order chemical reactions

Initial conditions

Boundary Conditions

Inflow boundary

Outflow boundary

Lateral boundaries

Superposition

One-dimensional solute transport

Finite system with first-type source boundary condition

Governing equation

Analytical solution

Description of program FINITE

Main program

Subroutines ROOT1 and CNRMLl

Sample problems la and lb

Finite system with third-type source boundary condition

Governing equation

Analytical solution

Description of program FINITE

Subroutines ROOT3 and CNRML3

Sample problem 2

Semi-infinite system with first-type source boundary condition

Governing equation

Analytical solution

Description of program SEMINF

Main program

Subroutine CNRMLl

Sample problems 3a and 3b

Semi-infinite system with third-type source boundary condition

Governing equation

Analytical solution

Description of program SEMINF

Subroutine CNRML3

Sample problem 4

Two-dimensional solute transport

Aquifer of infinite area1 extent with continuous point source

Governing equation

Analytical solution

Description of program POINT2

Main program

Subroutine CNRML2

Sample problem 5

Aquifer of finite width with finite-width solute source

Governing equation

Analytical solution

Description of program STRIPF

Main program

Subroutine CNRMLF

Sample problem 6

Aquifer of infinite width with finite-width solute source

Governing equation

Analytical solution

Description of program STRIP1

Main program

Subroutine CNRMLI

Sample problem 7

Aquifer of infinite width with solute source having Gaussian concentration distribution

Governing equation

Analytical solution

Description of program GAUSS

Main program

Subroutine CNRMLG

Sample problems 8a and 8b

Three-dimensional solute transport

Aquifer of infinite extent with continuous point source

Governing equation

Analytical solution

Description of program POINT3

Main program

Subroutine CNRML3

Sample problem 9

Aquifer of finite width and height with finite-width and finite-height solute source

Governing equation

Analytical solution

Description of program PATCHF

Main program

Subroutine CNRMLF

Sample problem 10

Aquifer of infinite width and height with finite-width and finite-height solute source

Governing equation

Analytical solution

Description of program PATCHI

Main program

Subroutine CNRMLI

Sample problem 11

Description of subroutines

Mathematical subroutines

Subroutines EXERFC and GLQPTS

Input/Output subroutines

Subroutines OFILE and TITLE

Graphics subroutines

Subroutines PLOTlD, PLOT2D, PLOT3D, and CNTOUR

Running the programs

Array dimensions

Compiling and loading

Summary

References cited

Attachment 1 -Derivation of selected analytical solutions

Attachment 2 -Program source-code listings

Attachment 3 -Subroutine listing and data file GDQPTS

Attachment 4 -Program output for selected sample problems


Back




FirstGov button  Take Pride in America button