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A stochastic model of dispersion of sediment particles released from a continuous source
Author(s) -
Todorovic P.
Publication year - 1975
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr011i006p00919
Subject(s) - dispersion (optics) , sediment , interval (graph theory) , pollutant , flow (mathematics) , mechanics , transformation (genetics) , stochastic modelling , environmental science , soil science , geology , geotechnical engineering , mathematics , physics , geomorphology , statistics , chemistry , optics , biochemistry , organic chemistry , combinatorics , gene
Recent interest in bed sediment as a pollutant and as a carrier of various pollutants has emphasized the need for better understanding the dispersion process of bed sediment. Unfortunately, the existing mathematical models were constructed to describe longitudinal dispersion of a set of bed sediment particles simultaneously released in a flow from a line or a point source. In this paper, stochastic models are proposed for description of the longitudinal dispersion of a set of bed sediment particles released in a flow over a certain interval of time at a given rate α ( u ). Two particular cases are considered separately. First, the release occurs during a finite time interval, say, [0, t ]. Second, the release occurs during [0, ∞). provided that certain regularity conditions hold, it is shown that both dispersion models are obtained by means of a simple integral transformation of the model for instantaneous release.