双曲型曲线模型在路基沉降预测中的应用

Application of hyperbolic curves to prediction of embankment settlements

对沉降速率与剩余沉降关系进行了研究，结果显示，双曲线模型反映了两者的二次非线性关系，指数曲线模型反映了两者的线性关系，2种模型剩余沉降的预测比值在1～2之间．提出了一种反映沉降速率与剩余沉降半立方（1．5次）非线性关系的双曲型曲线预测模型，给出了新模型参数的估算公式，证明了新模型预测的剩余沉降是指数曲线模型的1～1．5倍、双曲线模型的0．75～1倍．实例推算结果表明，双曲型曲线预测模型的推算值处于2种常用模型的推算值之间，且接近它们的平均值，预测结果的可靠度更高．

The relationship between settlement rate and residual settlement was studied. The results indicate that the relationship is quadratic non-linear for the hyperbolic curve method and linear for the exponential curve method, and the ratio of predicted residual settlements between the two kinds of models is 1 - 2. A hyperbolic curve model with a half- cube non-linear relationship between the settlement rate and the residual settlement is proposed. The corresponding formula for parametric estimation is also put forward. It has been proved that the predicted residual settlement determined by the proposed model is 1 - 1.5 times that of the exponential curve model, and 0.75 - 1 times that of the hyperbolic curve model. Engineering cases show that the results estimated by the present model are between those of the two kinds of models and are close to their average, and the reliability of the former is higher than that of the latter two models.