In this paper, the authors propose a new method for low-water analysis of river fl ow by means of the function of moving mean daily rainfall.
The recession curve for successive no-rain days is expressed by the multi-exponential-type recession equation (11), or fractional type (12). As the decreasing characteristics of each exponential term of Eq.(11) are nearly equal to those of
Tk-days of moving mean daily rainfall γ
(Tk') and each
Tk is a time constant which is defined by the reciprocal of the exponential constant
ck respectively, Eq.(12) can be transformed into Eq.(37) which is composed of the sum of γ
(Tk'). Eq.(37) represents the response function of a linear run-off system and that of a linear tank shown in
Fig. 2 (a) .
Our proposed process for analysis is as follows.
1) Recession constant b of Eq.(12) is estimated from recession curves of observed river flow rate and the exponential recession constant ck corresponding to
b is calculated using Eqs.(18)-(30).
2) Time constants Tk' to ck are defined by Eq.(40) and Tk'-days of moving mean rainfall γ
(Tk') are calculated using daily rainfall data.
3) After the non-linear parts of the run-off system are cut off by the supposed Fixed-Maximum-Discharge (FMD) and Fixed-Maximum-Rainfall (FMR), proportional constants
ak are botained as the partial regression coefficients by multiple regressional analysis shown in Eq.(41). In this case, FMD=25 mm/d and FMR=50 mm/d were adapted as the most desirable values and values of ak are shown in
Table 5.
4) The low-water flow rate of the river in the long term is estimated using Eq.(39).
The results of analysis on the Egawa River and Honmyo River are shown in
Fig. 8 and
Fig. 9, respectively.
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