基于IA-BP智能算法的初始地应力场反演研究
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作者单位:

1.沈阳工业大学;2.中铁十九局集团第五工程有限公司

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中图分类号:

U455

基金项目:

国家自然科学基金项目(面上项目,重点项目,重大项目),中国博士后科学基金,辽宁省自然科学基金


Study on in-situ stress field inversion based on IA-BP intelligent algorithm
Author:
Affiliation:

1.Shenyang University of Technology;2.China Railway 19th Bureau Group 5th Engineering Co. , Ltd.

Fund Project:

The National Natural Science Foundation of China (General Program, Key Program, Major Research Plan),China Postdoctoral Science Foundation,Natural Science Foundation of Liaoning Province

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    摘要:

    初始地应力场是地下工程设计与施工的重要依据,在实际工程中难以精准测得,为了能较准确获得初始地应力场的分布规律,提出将免疫算法与BP神经网络相结合(IA-BP)的算法对初始地应力场进行反演研究。免疫算法优化BP神经网络就是将BP神经网络的连接权值和阈值作为免疫算法中的抗体进行编码。该混合算法既可以利用免疫算法全局寻优的特点快速搜索到全局最优解或次优解附近,又可以采用BP算法去避免在最优解和次优解附近发生震荡,对其进行局部优化,从而达到快速收敛全局最优解的目的。通过COMSOL构建三维模型对其进行正分析计算,将计算的结果作为“实测值”,对地应力进行反演分析,并将IA-BP算法反演的结果与PSO-BP算法以及多元线性回归算法反演结果进行对比。结果表明:IA-BP算法所得实测值与反演值之间的相对误差的绝对值为0~10.64%(平均为3.39%),PSO-BP算法所得实测值与反演值之间相对误差的绝对值为0~48.39%(平均为6.93%),多元线性回归算法所得实测值与反演值之间相对误差的绝对值为0.55%~121.95%(平均为21.87%)。通过对比可知,IA-BP算法整体反演结果精度最高。将IA-BP智能算法运用到地应力场的反演研究中,可以为地下工程的建设提供帮助和依据。

    Abstract:

    Initial in-situ stress field is an important basis for the design and construction of underground engineering, it is difficult to accurately measure the initial in-situ stress field in practical engineering, in order to accurately obtain distribution law of initial geostress field, the immune algorithm combined with BP neural network (IA-BP algorithm) for inversion of initial in-situ stress field is studied. The optimization of BP neural network by immune algorithm is to encode the connection weights and thresholds of BP neural network as antibodies in the immune algorithm. The hybrid algorithm can not only advantage of the characteristics of immune algorithm is global optimization quick search to the global optimal solution or near optimal solution, and can adopt BP algorithm to avoid the near optimal and sub-optimal solutions, oscillation on the local optimization, so as to achieve the aim of fast converge the global optimal solution. The three-dimensional model was constructed by COMSOL to carry out positive analysis and calculation, and the calculated results were taken as “measured values” to conduct inversion analysis of in-situ stress, and the inversion results of IA-BP algorithm were compared with the inversion results of PSO-BP algorithm and multiple linear regression algorithm. The results show that the absolute value of the relative error between the measured value and the inversion value are obtained by IA-BP algorithm is 0~10.64%(3.39% on average), the absolute value of the relative error between the measured value and the inversion value are obtained by PSO-BP algorithm is 0~48.39% (6.93% on average), the absolute value of the relative error between the measured value and the inversion value are obtained by multiple linear regression algorithm is 0.55%~121.95% (21.87% on average). By comparison, it can be known that the overall inversion results of IA-BP algorithm have the highest accuracy. The application of IA-BP intelligent algorithm to the inversion of in-situ stress field can provide help and basis for the construction of underground engineering.

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  • 收稿日期:2021-01-15
  • 最后修改日期:2021-04-19
  • 录用日期:2021-06-06
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