Abstract

Rill erosion on frozen-stony slope in high-altitude or high-latitude areas commonly undergo freeze–thaw cycle, which is significantly influenced by partially thawed soil with rock fragment. This research aims to investigate the influences of thawed soil depth (TSD) and rock fragment content (RFC) on rill erosion and quantifying the mathematical relationships among them. The laboratory experiment is conducted to evaluate the influences of TSD (1, 2, 5, and 10 cm) and RFC (0%, 10%, 20%, and 50%) on sediment delivery processes by concentrated meltwater flow under three slope gradients of 5°, 10°, and 15°, and three flow rates of 1, 2, and 4 L min−1 at nine rill lengths from 0.5 m to 8.0 m. Five runoff samples are obtained from each experiment run and used to calculate sediment concentration (SC). The SC increases linearly and then exponentially with rill length to approximate the extremum and fits well with piecewise functions. Restrictive effect of TSD and RFC on sediment supply is evident during linear stage induced by shallow TSD, which keeps a long distance under shallow TSD and low RFC to collect sufficient sediment for exponential period. However, TSD and RFC impacts become apparent during the exponential period and lead to higher sediment yield with RFC of 10% and 20% than that on totally thawed soil without rock fragment. In this research, the positive effect on sediment yield increases with RFC increases from 10% to 20%, which may need to be eliminated for efficiency in erosion control. In contrast to low RFC, the protection impact of rock fragment always exerts with RFC of 50%. The experimental data and the functional relationship can provide the basic knowledge for evaluating the model parameters such as soil detachment rate and erodibility of rill erosion on frozen-stony slope.

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