The logistic model can well predict the developing trend of foundation settlement with its own virtues. Firstly

it is extended to settlement predication of embankment subjected to multistage loadings due to filled soil

and then one new type logistic model coupled with rheological term of soft soil is put forward based on the secondary compression calculation formula under the absolute time coordinates. The relevant parameters are back-analyzed with the optimizing technology of mathematics according to filed measured settlements. It is seen that this new model has higher predicted accuracy and can reasonably reflect the creeping course of soft soil grain skeleton. Besides

the quantity of secondary compression at different times can also be accurately given. The results obtained in this paper may be useful in engineering.