Abstract. The distributed unit hydrograph (DUH) method has been widely used
for flow routing in a watershed because it adequately characterizes the
underlying surface characteristics and varying rainfall intensity.
Fundamental to the calculation of DUH is flow velocity. However, the
currently used velocity formula assumes a global equilibrium of the
watershed and ignores the impact of time-varying soil moisture content on
flow velocity, which thus leads to a larger flow velocity. The objective of
this study was to identify a soil moisture content factor, which, based on
the tension water storage capacity curve, was derived to investigate the
response of DUH to soil moisture content in unsaturated areas. Thus, an
improved distributed unit hydrograph, based on time-varying soil moisture
content, was obtained. The proposed DUH considered the impact of both
time-varying rainfall intensity and soil moisture content on flow velocity,
assuming the watershed to be not in equilibrium but varying with soil
moisture. The Qin River basin and Longhu River basin were selected as two
case studies, and the synthetic unit hydrograph (SUH), the time-varying
distributed unit hydrograph (TDUH) and the current DUH methods were
compared with the proposed method. Then, the influence of time-varying soil
moisture content on flow velocity and flow routing was evaluated, and results
showed that the proposed method performed the best among the four methods.
The shape and duration of the unit hydrograph (UH) were mainly related to
the soil moisture content at the initial stage of a rainstorm, and when the
watershed was approximately saturated, the grid flow velocity was mainly
dominated by excess rainfall. The proposed method can be used for the
watersheds with sparse gauging stations and limited observed rainfall and
runoff data.
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