Abstract
The erosion rate of cohesive soils was typically modeled with the excess shear stress model and the Wilson model. Several kinds of research have been conducted to determine the erodibility parameters of the two models, but few attempts have been made hitherto to investigate the general trends and range of the erodibility parameter values obtained by the commonly used Erosion Function apparatus. This paper collected a database of 177 erosion function apparatus tests to indicate the variability of all erodibility parameters; the range of erodibility parameters is determined by data statistics and parameter theoretical value derivation. The critical shear stress (τc) and erodibility coefficient (Z0) in the over-shear stress model have a positive proportional relationship when the data samples are sufficient. However, there is no such relationship between the erodibility coefficient (b0) and erodibility coefficient (b1) in the Wilson model. It is necessary to express the soil erosion resistance by considering all erosion parameters in the erosion model. Equations relating erodibility parameters to water content, plasticity index, and median particle size were developed by regression analysis.
Highlights
Erosion models represent the constitutive law of soils for erosion problems, much like a stress–strain curve represents the constitutive law of soils for settlement problems
The database is used to derive the erodibility parameters (Z0, τ c, and α) of the dimensionless excess shear stress model and the erodibility parameters (b0 and b1 ) of the Wilson model to obtain a new database of 177 erodibility parameters (Z0, τ c, α, b0, and b1 )
The new database is used to determine the range of all erodibility parameters (Z0, τ c, α, b0, and b1 )
Summary
Erosion models represent the constitutive law of soils for erosion problems, much like a stress–strain curve represents the constitutive law of soils for settlement problems. The most commonly used erosion models up to date are the excess shear stress model and the Wilson model. Where z is the erosion rate (m s−1 ), kD is the coefficient of erodibility (m3 /( N × S)), τ is the applied shear stress (Pa), τ c is the critical shear stress (Pa), and α is an empirical exponent sometimes assumed to be unity [2,3,4]. Some scholars proposed dimensionless nonlinear excess shear stress models to calculate the erosion rate [1,5,6,7]. The typical dimensionless excess shear stress model is defined as: z = Z0
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