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基于PCA和MCMC的貝葉斯方法的海下礦山水害源識別分析

Application of PCA and Bayesian MCMC to discriminate between water sources in seabed gold mines

  • 摘要: 海底金礦礦山水害對礦山生產、人員施工及礦山設備等產生較大威脅,是礦山開采中的自然災害之一,快速有效的判別出礦山水害水源對于事故的防治有重要意義。三山島金礦的巷道圍巖裂隙普遍并長期存在涌水現象,礦區開采中礦井水害的水源主要有海水、第四系水、基巖裂隙水、地下水等,為了準確快速的判別礦井水水源,有效預防礦井水突水及水害威脅,本研究結合監測點水樣的水文地質條件與不同監測點水樣的水化學成分分析,選取Mg2+、Na++K+、Ca2+、SO42?、Cl?和HCO3 ?共6項指標作為判別因子,通過主成分分析得出不同水樣的礦化程度。在貝葉斯算法分析原理的基礎上,將馬爾可夫鏈蒙特卡洛(Markov Chain Monte Carlo, MCMC)引入到貝葉斯方法中,運用統計軟件SPSS統計,構建貝葉斯判別分析模型,得出基于水樣樣本信息的算法估計的后驗分布,得出礦山水害水源的分析方法。運用三山島金礦水害取水點的水樣分析數據進行詳細的分析驗證,建立礦井突水水源模型,進行不同水樣的信息分析,得出貝葉斯統計函數并進行水源判別結果分析,驗證了貝葉斯礦山水害水源判別模型的準確性和實用性,對現場工作的開展和水害防治有一定的指導意義。

     

    Abstract: Water hazards in submarine gold mines pose a great threat to mine production, construction personnel, and mining equipment, and represent one of the natural disasters that occur in mining. To prevent and control accidents, it is critical to quickly and effectively identify water sources. Cracks in the rocks surrounding the roadway in the Sanshandao Gold Mine are a widespread and long-term water gushing phenomenon. The main sources of mine water hazards in mining areas are seawater, Quaternary water, bedrock fissure water, and groundwater. To accurately and quickly identify mine water sources and effectively prevent inrushes of mine water and water-hazard threats, the hydrogeological conditions and chemical composition of water samples from different monitoring points were analyzed and six indicators, i.e., Mg2+, Na++K+, Ca2+, SO4 2?, Cl?, and HCO3 ?, were selected as discriminant factors. Based on the analysis principle of the Bayesian algorithm, the Markov chain Monte Carlo (MCMC) approach was introduced into the Bayesian method. A Bayesian discriminant analysis model was then constructed using SPSS Statistics and the MCMC Bayesian method. The posterior distribution estimated by the algorithm is based on water-sample information, which enables the analysis of the mine water source. Based on the water-sample data from a water intake point at the Sanshandao Gold Mine, detailed analysis and verification were performed, and a water-source model for the inrush of mine water was established. An analysis of different water samples was then performed. Through the selection of variables, variables with a strong discriminant ability and high degree of correlation were introduced into the discriminant function to obtain the Bayesian statistical function, thus enabling a discriminatory analysis of the water sources. The accuracy and practicability of the proposed Bayesian mine-water-source identification model were verified. This model has certain significance for guiding future field work and water-hazard prevention and control efforts.

     

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