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基于混合智能算法优化的大地电磁反演法研究

Study on magnetotelluric inversion method based on hybrid intelligent algorithm optimization

  • 摘要: 大地电磁的反演问题是非线性的,如果采用将非线性问题线性化的线性反演方法,则容易产生陷入局部极小值和反演结果非唯一性严重等问题。目前单一的非线性智能算法在进行反演时也存在易陷入局部极小值和寻优效率低下的问题。为了解决该问题,结合粒子群算法、差分进化算法和Nelder-Mead优化算法设计了一种非线性的混合智能算法。混合智能算法不仅利用了粒子群算法和差分进化算法面向全局进行寻优的能力,同时还利用Nelder-Mead优化算法对寻优结果进行进一步的局部开发,解决了线性算法和单一的非线性智能算法易陷入局部极小值和寻优效率低等问题。在进行大地电磁反演时,又引入了正则化理论对目标函数进行约束,避免了反演结果的非唯一性。结合典型的多维函数寻优和理论模型分别用阻尼粒子群算法、差分进化算法及新提出的混合智能算法进行对比试验。研究结果表明:相比于阻尼粒子群算法和差分进化算法,混合智能算法具有较高的寻优效率,并且具有很好的鲁棒性。最后,应用混合智能算法对吉林桦皮厂地热田的一个实测点数据进行反演,并将反演结果与传统反演算法反演结果进行对比分析,表明了混合智能算法反演结果与实际勘探结果更加吻合,证明了混合智能算法对大地电磁实测数据进行反演处理具有较高的准确性。

     

    Abstract: The inversion problem of magnetotelluric is non-linear. If the linear inversion method is used to linearize the non-linear problem,it is easy to fall into the local minimum and the non uniqueness of the inversion results is serious. At present,the single nonlinear intelligent algorithm is easy to fall into local minimum and low efficiency in inversion. In order to solve this problem,this paper designs a nonlinear hybrid intelligent algorithm combining particle swarm optimization,differential evolution algorithm and Nelder-Mead optimization algorithm. At the same time,the hybrid intelligent algorithm makes use of the ability of particle swarm optimization and differential evolution algorithm for global optimization. At the same time,it also uses the Nelder-Mead optimization algorithm for further local development of the optimization results,which solves the problems of linear algorithm and single nonlinear intelligent algorithm easily falling into local minimum and low efficiency of optimization. In the process of magnetotelluric inversion,regularization theory is introduced to constrain the objective function to avoid non-uniqueness of the inversion results. The damped particle swarm optimization,differential evolution and the hybrid intelligent algorithm proposed in this paper are respectively applied to the typical multidimensional function optimization and theoretical model. The results show that the hybrid intelligent algorithm in this paper has high efficiency and good robustness compared with damped particle swarm optimization algorithm and differential evolution algorithm. Finally,the hybrid intelligent algorithm is applied to the inversion of a measured point data of Jilin huapichang geothermal field,and the inversion results are compared with the inversion results of the traditional inversion algorithm,which shows that the inversion results of the algorithm in this paper are more consistent with the actual exploration results,which proves that the hybrid intelligent algorithm has a high accuracy in the inversion of magnetotelluric measured data.

     

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