采用Gompertz模型预测深基坑周边地表沉降

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目前对深基坑周边地表进行预测的理论还很不成熟,该理论目前还处在研究阶段,规范上给出了相关监测标准,但没有提供相关预测方法,且各种规范给出的监测标准也不统一。已有文献中的预测方法主要是通过一些线性假设,结合参数进行预测的,是一种一步到位的预测方法,预测值的精度完全由参数的取值是否合理所决定,人为因素较大,且无法考虑工程的具体施工情况,在施工过程中无法进行调整。Gompertz模型是一种生长曲线,成反S型,常用于生产、商业领域。Gompertz的导数模型成抛物线型,与深基坑周边地表沉降的曲线相似。结合Gompertz模型,并对其进行求导,调整后、得出深基坑周边地表沉降公式δ(x)=ace(b-cx)exp(-e(b-cx))。该公式不需要最大侧移值作为预测条件,给出了利用该公式进行预测的计算步骤,参数的取值排除了人为的影响因素,更为合理。用工程实例验证得出该公式预测精度较高,是一种简单、实用的基坑周围地表沉降预测方法。 At present, the theory of predicting the ground surface around the deep foundation pit is still immature. The theory is still in the research phase at present, and the relevant monitoring standards are given in the specification, but the relevant prediction methods are not provided and the monitoring standards given by various standards Not uniform. In the existing literature, the prediction method is mainly a prediction method based on some linear assumptions and parameters, which is a one-step prediction method. The accuracy of the prediction value is completely determined by whether the value of the parameter is reasonable or not, and the human factor is large. Can not consider the specific construction of the project, in the construction process can not be adjusted. Gompertz model is a growth curve, into the inverse S-type, commonly used in the production, commercial areas. Gompertz’s derivative model is a parabola, similar to the curve of surface settlement around the deep foundation pit. Combining with the Gompertz model, deriving and adjusting it, we get the formula of surface settlement δ (x) = ace (b-cx) exp (-e (b-cx)) around the deep foundation pit. The formula does not need the maximum side shift value as the prediction condition, and gives the calculation steps of using the formula to predict. It is more reasonable to exclude the artificial influence factor by the value of the parameter. The engineering example shows that the prediction accuracy of this formula is high, which is a simple and practical method of predicting surface subsidence around the foundation pit.
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