The ground vibration attenuation consists of geometric attenuation in the form of power function and damping attenuation in the form of exponential function. The Hyperbola-Logistic model is proposed based on the two characteristics. Through case study

it is revealed that the Hyperbola-Logistic model can not only be used to predict ground displacement and attenuation of velocity

acceleration

and vibration level

but also be used to predict ground vibration caused by train passing the viaduct section

embankment section and underground section. The Hyperbola-Logistic model has a better fitting precision

whose correlation coefficient R is above 0.95 and determination coefficient R2 is above 0.90

which demonstrates its credibility to predict ground vibration attenuation. This model shows its advantage both in quantitative value and distribution trends after comparison

so as to provide it a better way to predict ground vibration caused by the train.