路堤沉降预测的Gompertz模型应用研究

高速公路路堤填筑过程可近似地看为一个线性加载的过程。笔者从土体应力-应变关系出发，证明了在线性加载或近似线性加载情况下，路堤沉降-时间曲线呈反“S”型特征，并由此建立了Gompertz沉降-时间预测模型，其中3个参数a、b和c可以通过SAS程序求解得到。多个工程实例的应用证明了该模型在路堤沉降预测中的合理性和实用性。

A Study on prediction of embankment settlement with the gompertz model

The construction of embankment of highway can be regarded as a linear loading process, during which the soils are filled gradually on the ground. Based on the stress-strain relationship of the soil mass, the characteristics of settlement~time curve (s-t) of the ground under instant loading, linear or approximately linear loading are analyzed respectively. The results show that the s-t curve is inversely S-shaped. According to the behavior of s-t curve, the Gompertz model is established to predict the ground settlement. The three parameters in the model, a, b and c can be easily solved by SAS program. This model is used to study 4 cases. The comparisons illustrate that the settlement predicted by Gompertz model keeps good agreement with the measured data.