Abstract
This paper describes a melding of an established set of hydrological component processes to obtain a full-scale model for reservoir sedimentation. The goal is to achieve a probabilistic system relating reservoir sedimentation to standard injection, river flow, particle transport, and dam storage subsystems. In the conclucing section, it is found that for a certain assembly of process components, the sedimentation process is Poisson, with parameters interpretable in terms of physical variables. Moreover, for the resulting parameters, a Gaussian approximation can confidently be adopted.
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Abbreviations
- CAP:
-
initial capacity of the reservoir
- D :
-
particle volume
- F :
-
(cumulative) distribution function (of subscripted variable)
- G(v):
-
conversion of river velocity to volume
- K(t):
-
current reservoir capacity
- L :
-
distance from sediment source to the reservoir
- N(t):
-
number of particles injected at timet
- R():
-
the release law
- S(t):
-
reservoir storage at timet
- SED(t):
-
amount of sediment deposited by timet
- T :
-
time from injection to reservoir entry
- T end :
-
lifetime of the reservoir
- v :
-
velocity at a given time
- v:
-
history of velocities
- x :
-
distance along river reach
- Z(t):
-
indicator of whether a particle has been deposited.
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Gani, J., Yakowitz, S. A probabilistic sedimentation analysis for predicting reservoir lifetime. Water Resour Manage 3, 191–203 (1989). https://doi.org/10.1007/BF00872342
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DOI: https://doi.org/10.1007/BF00872342