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LONGITUDINAL DISPERSION IN RWERS: A DEAD‐ZONE MODEL SOLUTION
Author(s) -
Yu YunSheng,
Wenzhi Liu
Publication year - 1989
Publication title -
jawra journal of the american water resources association
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.957
H-Index - 105
eISSN - 1752-1688
pISSN - 1093-474X
DOI - 10.1111/j.1752-1688.1989.tb03067.x
Subject(s) - tracer , dead zone , laplace transform , dispersion (optics) , ordinary differential equation , sampling (signal processing) , mechanics , streams , differential equation , hydrology (agriculture) , environmental science , geology , soil science , mathematics , mathematical analysis , geotechnical engineering , physics , computer science , optics , computer network , oceanography , detector , nuclear physics
The longitudinal dispersion of tracer material in rivers is simulated by a dead‐zone model that involves two coupled differential equations. For an instantaneous injection of tracer material, the problem is solved by the Laplace. Transform and numerical inversion to obtain the time‐concentration curve at any sampling station. The optimal values of the model parameters are estimated from field measurements. Applications of the model to three different rivers generally show that the model reproduces the longitudinal dispersion characteristics in natural streams with sufficient accuracy.