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Convergent radial dispersion: a note on evaluation of the Laplace transform solution

Water Resources Research

By:
DOI: 10.1029/91WR02301

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Abstract

A numerical inversion algorithm for Laplace transforms that is capable of handling rapid changes in the computed function is applied to the Laplace transform solution to the problem of convergent radial dispersion in a homogeneous aquifer. Prior attempts by the author to invert this solution were unsuccessful for highly advective systems where the Peclet number was relatively large. The algorithm used in this note allows for rapid and accurate inversion of the solution for all Peclet numbers of practical interest, and beyond. Dimensionless breakthrough curves are illustrated for tracer input in the form of a step function, a Dirac impulse, or a rectangular input. -Author

Additional Publication Details

Publication type:
Article
Publication Subtype:
Journal Article
Title:
Convergent radial dispersion: a note on evaluation of the Laplace transform solution
Series title:
Water Resources Research
DOI:
10.1029/91WR02301
Volume
27
Issue:
12
Year Published:
1991
Language:
English
Larger Work Type:
Article
Larger Work Subtype:
Journal Article
Larger Work Title:
Water Resources Research
First page:
3261
Last page:
3264
Number of Pages:
4