STOCHASTIC MODELING OF BEDLOAD TRANSPORT BY THE CONTINUOUS-TIME MARKOV CHAIN PROCESS
Date Issued
2011
Date
2011
Author(s)
Yang, Fu-Ning
Abstract
Based on the stochastic approach, a comprehensive Markov chain model for the sediment interchange process is performed in this study. The continuous-time Markov process is appropriate for describing the continuous behavior of particle movement under steady flow conditions. A certain mathematical formulation in employing the continuous-time Markov process is constructed by the presentation of a two-state Markov model for sediment entrainment. Then we accordingly propose a three-state continuous-time Markov model that completely simulates sediment exchange and thus can quantify the bedload transport rate more accurately. The three-state Markov model describes the particle movement across three motion states, i.e. bed material, bedload, and suspended load. We have added a third state to account for the influence of suspended load, which is different from general bedload transport studies. With the employment of the continuous-time Markov model, the bedload transport capacity in the long run and the varying transport rates with time before the steady state can be derived. On the other hand, the three-state model exhibits that the flow is subject to the bedload or suspended load and further the actual sediment distribution in three motion states. The proposed model is validated against the natural river data. The comparison has shown a reasonably good agreement and thus the validity is confirmed to some extent.
Subjects
stochastic model
Markov process
bedload transport
sediment transport
sediment interchange
Type
thesis
File(s)![Thumbnail Image]()
Loading...
Name
ntu-100-R98521316-1.pdf
Size
23.32 KB
Format
Adobe PDF
Checksum
(MD5):41f1597f01c90f96bd3fdd12a3a1f716