Table 2: Commonly used algorithms describing the soil detachment by shallow overland flow.
Source | Algorithm | Parameters |
[138] | Di = Ki i2 | Di = Interrill detachment rate, Ki = Interrill erodibility factor, i = Rainfall intensity. |
[139] | Df = Dc[1-(G/Tc)]
Dc = Kr. (τf - τcr) |
Df = The net detachment rate by flowing water, Dc = The detachment capacity of the flow, G = The percentage of sediment load into the passing flow, Tc = The transport capacity of flow, τf = Flow shear stress, τcr = Critical shear strength, and Kr = A constant. |
[140] | Di = Ki.I2.Sf | Di = Interrill detachment rate, Ki = Interrill soil erodibility factor, I = Rainfall intensity, and Sf = Soil slope factor. |
[140] | Df,i = Ki Ie Qi Cc Cg Cs (Rs/w) SDR | Df,i = Interrill detachment rate, Ki = Interrill erodibility, Ie = Effective rainfall intensity, Qi = Interrill runoff rate, Cc = Canopy cover, Cg = Ground cover, Cs = Interrill slope adjustment factor, Rs = Spacing of rills, w = Width of rills, and SDR = Sediment delivery ratio. |
[141] | Dc = 130.41q0.89S1.02 | Dc = Detachment rate, q = Flow rate, and S = The tangent value of slope degree, V = Mean flow velocity, τ = Shear stress, and ω = The stream power. |
Dc = 0.344V3.18 | ||
Dc = 0.0017 τ1.53 | ||
Dc = 0.0088ω1.07 | ||
[142] | Di = Ki I q | Di = The interrill detachment rate, Ki = The interrill erodibility coefficient, I = The rainfall intensity, and q = The interrill runoff rate. |
[143] | e = K.C.P.h0.5.S1.5 | e = Detachment by shallow surface flow, K = Linear coefficient between h and S, and average mass of soil detached per failure event (M), P = Probability that the shear stress of the burst-event exceeds the local resistance to detachment and induces tensile failure, C = Chezy coefficient, h = Flow depth, S = Bed slope. |