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基于三维克立格方法的可视化储量估算 被引量:13

Visualized reserves estimation based on 3D Kriging method
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摘要 金属矿体在地下空间的变化性非常大,难以直接观测,对其精细的三维形态表征和刻画一直是科学计算可视化和空间(地质)统计学的研究热点和难点之一。三维空间的复杂性使得克立格储量估算具有极大的不确定性和经验性,利用三维可视化能够直观地反映变异性分析及储量估算结果,提高估算准确性与合理性。针对各向异性套合与储量估算,提出基于三维克立格方法的可视化储量估算:首先利用三维CAD技术构建算法底层对象;然后采用可视化方式改进变异性分析,并提出基于Hamilton四元数法的各向异性套合改进算法;最后采用克立格法估计储量,并依据可视化结果对某些误差较大的决策方案进行修改,提高克立格计算的准确性和客观性。使用克立格可视化储量估算方法对新疆阿舍勒铜矿床和西藏甲玛铜矿床进行储量估算实验。实验结果表明,变异性计算结果符合实际勘探情况,储量估算误差为5%~10%,储量估算结果可信,克立格可视化储量估算方法有效。 It is difficult to observe metal ore body underground directly because the spatial geometry of which often displays great variability.Detailed three-dimensional(3D) shaping and characterizing of ore body is one of the hot topics and difficulties in the fields of Visualization in Scientific Computing and Geostatistics.The complexity of 3D space often leads Kriging reserves estimation to great uncertainty and empiricism.Fortunately,3D Visualization has since evolved target for improving the estimation accuracy.For anisotropic nested overlap and reserves estimation,this paper proposes a visualized reserves estimation method based on 3D Kriging method.First take 3D CAD technology into account to establish base object,then improve the variogram analysis in a visualized way and propose an improved anisotropic nested overlap algorithm based on Quaternion.After that,carry on reserves estimation incorporated with the Kriging algorithm.According to the results,we make some necessary modifications of decisions which have bigger errors in order to improve the Kriging estimation accuracy and objectivity.We provide instances of Ashele Copper Deposit in Xinjiang Province and Jiama Copper Deposit in Tibet Province to demonstrate the proposed solution.Experimental results show that the calculations of variability are consistent with the actual explorations.The reserves estimations are credible and agree well with the actual reserves with an error between 5% and 10%,which suggests our method effective.
出处 《地学前缘》 EI CAS CSCD 北大核心 2013年第4期320-331,共12页 Earth Science Frontiers
基金 国家自然科学基金项目(41072245 11001019 40372129) 地质过程与矿产资源国家重点实验室开放基金项目(GPMR200601) 国家高技术研究发展计划"863"项目(2007AA12Z156) 教育部新世纪优秀人才支持计划项目(NCET 06 0131)
关键词 储量计算 可视化 四元数 克立格法 地质统计学 reserves estimation visualization quaternion Kriging geostatistics
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