Application of Logistic and Gompertz Curves and Optimum Combined Model to Settlement Prediction

范晓秋; 洪宝宁

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Application of Logistic and Gompertz Curves and Optimum Combined Model to Settlement Prediction

更新时间：2025-12-11

- Application of Logistic and Gompertz Curves and Optimum Combined Model to Settlement Prediction
- Issue 2, Pages: 192-196(2007)
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  CLC： U433
- Published：2007
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[1]范晓秋,洪宝宁.Logistic和Gompertz曲线及其最优组合模型在沉降预测中的运用[J].防灾减灾工程学报,2007(02):192-196.

范晓秋, 洪宝宁. Application of Logistic and Gompertz Curves and Optimum Combined Model to Settlement Prediction[J]. 2007, (2): 192-196.
[1]范晓秋,洪宝宁.Logistic和Gompertz曲线及其最优组合模型在沉降预测中的运用[J].防灾减灾工程学报,2007(02):192-196. DOI：

范晓秋, 洪宝宁. Application of Logistic and Gompertz Curves and Optimum Combined Model to Settlement Prediction[J]. 2007, (2): 192-196. DOI：

摘要

堆载预压法处理的软土地基沉降变化规律与Logistic和Gompertz曲线的变化规律极为相似

有着明显的出生、成长和成熟的过程。通过对Logistic和Gompertz曲线参数的合理取值

能够较好地拟合S—t曲线

预估最终沉降量。同时

以平均绝对百分误差最小为目标

建立了组合预测模型

拟合结果显示

该组合模型对于S—t曲线的拟合

比Logistic和Gompertz曲线更具优越性。

Abstract

The settlement of soft-soil foundation reinforced by pre-loading is similar to the Logistic and Gompertz curves with obvious intervals of initiating

growing and maturing.By selecting appropriate values of parameters for the two curves

the two models are established to fit the S—t curve based on the monitoring data of settlement during construction

and the total settlement value is predicted accurately by using those two curves.For obtaining the least MAPE

a combined prediction model is established

which is obviously superior to the Logistic and Gompertz curves by comparing their prediction results with the realistic values.

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references

沉降-时间曲线呈“S”型的证明及其应用——从土体本构关系 [J]. 梅国雄,宰金珉,殷宗泽,赵维炳. 岩土力学 . 2005(S1)

基于龚帕斯生长曲线的高填石路堤沉降规律分析 [J]. 赵明华,吴建宁,陈昌富,刘江波. 中国岩溶 . 2005(02)

Logistic曲线与Gompertz曲线的比较研究 [J]. 朱正元,陈伟侯,陈丰. 数学的实践与认识 . 2003(10)

曲线拟合方法的研究 [J]. 乔向明. 山东交通科技 . 1999(01)

最优组合预测方法及其在Logistic曲线与Gompertz曲线之综合拟合中的应用 [J]. 葛雄灿,胡秉民,高毅. 浙江农业大学学报 . 1998(04)

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