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Research Article

The lumped Muskingum flood routing model revisited: the storage relationship

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Pages 1625-1637 | Received 01 Oct 2019, Accepted 17 Jun 2021, Published online: 26 Aug 2021

Figures & data

Table 1. Summary of storage equations (special cases of the proposed general storage Equation (11))

Table 2. Observed hydrographs and estimated outflow hydrographs using different Muskingum models for example 1 (smooth single-peak inflow and outflow hydrographs)

Figure 1. Observed and estimated hydrographs for example 1 (smooth single-peak hydrograph) along with estimated optimal parameters for different Muskingum models using the SSQ index (the sum of the squared deviations between observed and computed outflows) as an objective function

Figure 1. Observed and estimated hydrographs for example 1 (smooth single-peak hydrograph) along with estimated optimal parameters for different Muskingum models using the SSQ index (the sum of the squared deviations between observed and computed outflows) as an objective function

Table 3. Observed hydrographs and estimated outflow hydrographs using different Muskingum models for example 2 (non-smooth single-peak inflow and outflow hydrographs)

Figure 2. Observed and estimated hydrographs for example 2 (non-smooth single-peak hydrograph) along with estimated optimal parameters for different Muskingum models using the SSQ index (the sum of the squared deviations between observed and computed outflows) as an objective function

Figure 2. Observed and estimated hydrographs for example 2 (non-smooth single-peak hydrograph) along with estimated optimal parameters for different Muskingum models using the SSQ index (the sum of the squared deviations between observed and computed outflows) as an objective function

Table 4. Observed hydrographs and estimated outflow hydrographs using different Muskingum models for example 3 (multiple-peak inflow and outflow hydrographs)

Figure 3. Observed and estimated hydrographs for example 3 (double-peak hydrograph) along with estimated optimal parameters for different Muskingum models using the SSQ index (the sum of the squared deviations between observed and computed outflows) as an objective function

Figure 3. Observed and estimated hydrographs for example 3 (double-peak hydrograph) along with estimated optimal parameters for different Muskingum models using the SSQ index (the sum of the squared deviations between observed and computed outflows) as an objective function

Table 5. Observed hydrographs and estimated outflow hydrographs using different Muskingum models for example 2 by incorporating the lateral inflow r = 1.202 (Non-smooth Single-peak inflow and outflow hydrographs)

Figure 4. Observed and estimated hydrographs for example 2 considering inflow effects (non-smooth single-peak hydrograph) along with estimated optimal parameters for different Muskingum models using the SSQ index (the sum of the squared deviations between observed and computed outflows) as an objective function

Figure 4. Observed and estimated hydrographs for example 2 considering inflow effects (non-smooth single-peak hydrograph) along with estimated optimal parameters for different Muskingum models using the SSQ index (the sum of the squared deviations between observed and computed outflows) as an objective function

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