Analysis of soft soil with viscoelastic fractional derivative Kelvin model

Soft soil is a material with the characteristics of viscosity, elasticity and plasticity. Till now, we have not yet seen researches on the creep laws of soft soil by using the models of fractional calculus. A number of one-dimensional consolidation tests for the Pearl River Delta typical soft soil have been carried out; and the creep laws of the soft soil are simulated by using fractional Kelvin model. The creep compliance and relaxation modulus of fractional Kelvin model and its application are discussed. It is shown by comparison with the traditional Kelvin model that fractional Kelvin model can simulate the creep compliance curves accurately. It has a simple and uniform form, only a few of the parameters should be adjusted in the calculation processes. It is predictable that fractional Kelvin body will have wide applications to the field of rheological constitution of soft soil and its calculation.