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

January 1, 1991

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.

Publication Year 1991
Title Convergent radial dispersion: A note on evaluation of the Laplace transform solution
DOI 10.1029/91WR02301
Authors Allen F. Moench
Publication Type Article
Publication Subtype Journal Article
Series Title Water Resources Research
Index ID 70015017
Record Source USGS Publications Warehouse
USGS Organization Toxic Substances Hydrology Program