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Research on probability integration parameter inversion of mining-induced surface subsidence based on quantum annealing

机译：基于量子退火的地表沉陷概率积分参数反演研究

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摘要

Probability integral method is an official prediction method for mining subsidence in China. However, how to obtain the probability integral method parameters based on the measured data is the premise of realizing the accurate prediction of the probability integral method. Simulated annealing (SA) is an effective nonlinear optimization algorithm that has recently been introduced into the mining subsidence field to obtain the parameters of the probability integration method. To solve the problems of slow convergence speed and easily falling into the local optimal solution in the method of parameters inversion in probability integral method based on SA (MPIPIMSA), the method of parameters inversion in probability integral method based on quantum annealing (MPIPIMQA) is proposed by combining the quantum fluctuation mechanism and simulated annealing theory. The simulation experimental results show that MPIPIMQA is superior to MPIPIMSA in the accuracy and stability of parameters, and MPIPIMQA has a stronger anti-interference ability for local losing observation points, random errors and gross errors in observation data. Finally, the parameters of probability integral method for the 1414(1) working face of the Guqiao Coal Mine in Huainan mining area were obtained by using MPIPIMQA, namely, q=0.9916, tan=1.9277, b=0.4190, =84.3381, S-u = -7.3715, S-d = -14.7126, S-l = 59.0695, and S-r = 32.6381, and the fitting error is 106.8863mm. The research results have important reference values for accurate inversion of probability integral parameters.
机译：概率积分法是中国开采沉陷的一种官方预测方法。然而，如何基于实测数据获取概率积分方法参数是实现概率积分方法准确预测的前提。模拟退火（SA）是一种有效的非线性优化算法，最近已被引入开采沉陷领域中，以获取概率积分方法的参数。为解决基于SA的概率积分法（MPIPIMSA）的参数反演方法中收敛速度慢，容易陷入局部最优解的问题，建议采用基于量子退火的概率积分法（MPIPIMQA）的参数反演方法。结合了量子涨落机理和模拟退火理论。仿真实验结果表明，MPIPIMQA在参数准确度和稳定性方面优于MPIPIMSA，并且MPIPIMQA对局部丢失观测点，随机误差和观测数据的严重误差具有较强的抗干扰能力。最后，通过MPIPIMQA获得了淮南矿区古桥煤矿1414（1）工作面的概率积分法参数，即q = 0.9916，tan = 1.9277，b = 0.4190，= 84.3381，Su = -7.3715，Sd = -14.7126，Sl = 59.0695和Sr = 32.6381，拟合误差为106.8863mm。研究结果对概率积分参数的准确反演具有重要的参考价值。

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