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Estimation of Dispersion Parameters for Two‐Dimensional Plumes
Author(s) -
Zou S.,
Parr A.
Publication year - 1993
Publication title -
groundwater
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.84
H-Index - 94
eISSN - 1745-6584
pISSN - 0017-467X
DOI - 10.1111/j.1745-6584.1993.tb01840.x
Subject(s) - plume , a priori and a posteriori , sampling (signal processing) , dispersion (optics) , least squares function approximation , tracer , flow (mathematics) , magnitude (astronomy) , field (mathematics) , mathematics , mathematical optimization , statistics , geometry , physics , meteorology , optics , astronomy , philosophy , epistemology , estimator , detector , nuclear physics , pure mathematics
An analytical method is developed whereby longitudinal and transversal dispersivities can be determined for a two‐dimensional plume generated by slug tracer injection in a uniform ground‐water flow field. One solution procedure requires concentration versus time data from two sampling wells through which the plume passes. A second solution procedure uses a least‐squares method to obtain optimal parameter estimations when only one sampling well is available. Both methods are particularly useful since they do not require a priori knowledge of either the direction or magnitude of the pore velocity. Detailed example calculations illustrate the solution procedures and show that these methods are successful.