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Fitting a simplified two-parameter gamma distribution function for synthetic sediment graph derivation from ungauged catchments |
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| Authors: | P K Singh M K Jain S K Mishra |
| Institution: | 1. Department of Soil and Water Engineering, CAET, AAU, Godhra-PMS, India 2. Department of Hydrology, Indian Insitute of Technology Roorkee, Roorkee, India 3. Department of Water Resources Development and Management, Indian Insitute of Technology Roorkee, Roorkee, India |
| Abstract: | A simple procedure is proposed and demonstrated to generate synthetic sediment graphs (SSG) for ungauged catchments. The proposed procedure makes use of widely used two-parameter gamma distribution function in a simplified manner. The shape and scale parameters of the distribution are derived using simple analytical procedures given by Bhunya et al. (J Hydrol Eng 8(4):226–230, 2003) for situations where partial data is usually available as in the case with sedimentation studies. The direct sediment graphs are computed by convolution of unit sediment graph with the mobilized sediment. The suitability of the proposed procedure is tested using the temporally observed sediment graph data of seven small watersheds of Piedmont Province of the Potomac River Basin, Washington D.C., USA. The results obtained are compared with the rigorous synthetic procedure of Chen and Kuo (J Hydrol 84:35–54, 1986). The goodness-of-fit in terms of absolute relative error in peak sediment outflow rate and time-to-peak sediment outflow rate between observed and computed sediment graphs by proposed as well as Chen and Kuo method shows that the proposed procedure produces results well comparable and even better than those obtained using Chen and Kuo procedure and therefore can be successfully used for development of SSG for ungauged catchments. It is worth noting here that the proposed procedure is very simple in application as compared to the rigorous procedure of Chen and Kuo and eliminates the restriction on storm duration and incorporates the routing concept which plays an important role in sedimentation. Moreover, since the proposed procedure makes use of probability distribution function, several other suitable distributions can also be explored for derivation of synthetic sediment graphs from ungauged catchments. |
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