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多重分形局部奇异性分析方法在中国西藏多龙矿集区深层次地球化学异常识别中的应用

唐杰 王文磊 袁长江

唐杰, 王文磊, 袁长江. 多重分形局部奇异性分析方法在中国西藏多龙矿集区深层次地球化学异常识别中的应用[J]. 地质科技通报, 2024, 43(5): 296-310. doi: 10.19509/j.cnki.dzkq.tb20230282
引用本文: 唐杰, 王文磊, 袁长江. 多重分形局部奇异性分析方法在中国西藏多龙矿集区深层次地球化学异常识别中的应用[J]. 地质科技通报, 2024, 43(5): 296-310. doi: 10.19509/j.cnki.dzkq.tb20230282
TANG Jie, WANG Wenlei, YUAN Changjiang. Application of multifractal and local singularity analysis method to the identification of deep-level geochemical anomalies in the Duolong mineral district, Tibet, China[J]. Bulletin of Geological Science and Technology, 2024, 43(5): 296-310. doi: 10.19509/j.cnki.dzkq.tb20230282
Citation: TANG Jie, WANG Wenlei, YUAN Changjiang. Application of multifractal and local singularity analysis method to the identification of deep-level geochemical anomalies in the Duolong mineral district, Tibet, China[J]. Bulletin of Geological Science and Technology, 2024, 43(5): 296-310. doi: 10.19509/j.cnki.dzkq.tb20230282

多重分形局部奇异性分析方法在中国西藏多龙矿集区深层次地球化学异常识别中的应用

doi: 10.19509/j.cnki.dzkq.tb20230282
基金项目: 

国家自然科学基金项目 41772353

详细信息
    作者简介:

    唐杰, E-mail: jietangcsu@163.com

    通讯作者:

    王文磊, E-mail: wenleiw@163.com

  • 中图分类号: P618.41;P618.51;P632

Application of multifractal and local singularity analysis method to the identification of deep-level geochemical anomalies in the Duolong mineral district, Tibet, China

More Information
  • 摘要:

    勘查地球化学数据作为成矿地质体预测最重要的信息载体之一,在识别提取成矿异常以及挖掘深层次成矿信息中具有重要作用。基于地球化学元素空间分布的尺度不变性和广义自相似性,以多龙矿集区1∶5万勘查地球化学数据中的Cu、Au元素为例,运用分形/多重分形和奇异性理论开展分析研究,进行成矿元素空间分布模式的识别和异常提取。针对研究区全区、断裂缓冲区和地层分区分别运用矩方法计算多重分形谱,用于描述局部地区元素的相对富集及亏损程度,并对区内Cu、Au成矿元素进行局部奇异性分析,以识别提取成矿元素的弱、缓异常信息,圈定成矿潜力区。研究表明,多龙矿集区内Cu、Au元素均表现为成矿有利模式。其中,Cu元素存在区域的弱富集,Au元素存在局部范围的超富集,近EW向与NE向断裂的交汇区域以及侏罗系为区内最有利成矿位置。通过绘制局部奇异性指数空间分布图,表征了Cu、Au元素地球化学异常空间分布特征,进而圈定了矿集区的中部和北部为成矿潜力区。

     

  • 图 1  多龙矿集区区域位置图(a)及地质简图(b)[37]

    Figure 1.  Regional geological map(a) and simplified geological map(b) of the Duolong mineral district

    图 2  自相似图形模式图[47]

    a.格子尺度为1;b.格子尺度为2;c.格子尺度为4;d.格子尺度为8

    Figure 2.  Self-similar pattern diagram

    图 3  局部奇异性计算方法示意图[30, 50]

    a.不同大小的方形窗口估计奇异性指数α; b.对数-对数图估计奇异性指数α

    Figure 3.  Diagram of the local singularity calculation method

    图 4  Cu元素(a)和Au元素(b)对数变换直方图

    Figure 4.  Cu(a) and Au(b) logarithm conversion histograms

    图 5  Cu元素(a)和Au元素(b)对数变换分布Q-Q图

    Figure 5.  Q-Q diagrams of logarithmic transformation distribution of Cu(a) and Au(b)

    图 6  Cu元素(a)和Au元素(b)多重分形谱分析图

    Figure 6.  Cu(a) and Au(b) multifractal spectrum ciagram

    图 7  多龙矿集区断裂分布缓冲区图

    Figure 7.  Fault distribution buffer map of the Duolong mineral district

    图 8  多龙矿集区地层分区图(地层代号含义同图 1)

    Figure 8.  Stratigraphic zoning map of the Duolong mineral district

    图 9  不同分区Cu、Au元素多重分形R值对比图

    Figure 9.  R-value diagram of the multifractal spectrum of Cu and Au in different partitions

    图 10  Cu元素IDW插值图(a)和局部奇异性指数空间分布图(b)

    Figure 10.  IDW interpolation diagram of Cu concentration(a) and spatial distribution diagram of local singularity index(b)

    图 11  Au元素IDW插值图(a)和局部奇异性指数空间分布图(b)

    Figure 11.  IDW interpolation diagram of Au concentration(a) and spatial distribution diagram of local singularity index(b)

    图 12  Cu(a)和Au(b)局部奇异性指数频率分布直方图

    Figure 12.  Local singularity index frequency distribution histogram of Cu(a) and Au(b)

    图 13  Cu元素(a)和Au元素(b)局部奇异性富集规律图

    Figure 13.  Local singularity enrichment of Cu(a) and Au(b)

    表  1  多龙矿集区勘查地球化学数据分析精确度、精密度及检测方法[25]

    Table  1.   Analytical accuracy, precision and detection methods for exploration geochemical data in the Duolong mineral district

    元素 检测下限/wB 平均精度 检测方法
    Ag 0.03×10-6 0.004 ES
    As 1×10-6 0.004 AFS
    Au 0.3×10-9 0.002 GFAAS
    Bi 0.1×10-6 0.007 AFS
    Cr 10×10-6 0.002 XRF
    Cu 2×10-6 0.010 XRF
    Hg 0.01×10-6 0.013 AFS
    Mn 30×10-6 0.001 XRF
    Mo 0.5×10-6 0.004 CP
    Ni 5×10-6 0.004 XRF
    Pb 5×10-6 0.012 XRF
    Sb 0.3×10-6 0.002 AFS
    Sn 1×10-6 0.000 ES
    W 0.5×10-6 0.010 CP
    Zn 20×10-6 0.001 XRF
    注:XRF为X射线荧光光谱法;CP为催化极谱法;AFS为原子荧光光谱法;ES为发射光谱法;GFAAS为石墨炉原子吸收光谱法
    下载: 导出CSV

    表  2  盒子大小及对应数目

    Table  2.   Box size and corresponding number

    盒子尺寸ε 1 2 4 8
    盒子数目N(ε) 340 155 52 20
    下载: 导出CSV

    表  3  多龙矿集区勘查地球化学元素统计参数

    Table  3.   Statistical parameters of geochemical elements for exploration in the Duolong mineral district

    元素 统计量 最小值 最大值 均值 标准差 变异系数 中值 偏度
    w(Cu)/10-6 3 358 6.2 854.0 38.5 52.0 1.4 26.8 8.7
    w(Au)/10-9 3 358 0.4 1 058.5 4.8 25.0 5.3 2.2 29.6
    下载: 导出CSV

    表  4  多龙矿集区Cu、Au元素多重分形谱参数(-10≤q≤10)

    Table  4.   Multifractal spectrum parameters of Cu and Au in Duolongite mineral district (-10≤q≤10)

    元素 αmin α(0) αmax Δα f(αmin) f(αmax) Δf R
    Cu 1.385 2.017 2.184 0.799 0.243 0.868 -0.625 3.752
    Au 0.962 2.015 2.682 1.720 0.072 -1.221 1.293 1.580
    下载: 导出CSV

    表  5  多龙矿集区断裂缓冲区内Cu元素多重分形谱参数(-10≤q≤10)

    Table  5.   Multifractal spectrum parameter table of Cu in fault buffer zone of the Duolong mineral district(-10≤q≤10)

    方向 αmin α(0) αmax Δα f(αmin) f(αmax) Δf R
    全区断裂 1.396 2.017 2.112 0.716 0.389 0.811 -0.422 6.508
    NW向断裂 1.498 2.000 2.152 0.654 0.736 1.192 -0.456 3.303
    NE向断裂 1.405 2.000 2.146 0.741 0.473 1.432 -0.959 4.075
    EW向断裂 1.442 2.000 2.052 0.610 0.631 1.900 -1.269 10.731
    注:表中各物理量的含义见正文,下同
    下载: 导出CSV

    表  6  多龙矿集区断裂缓冲区内Au元素多重分形谱参数(-10≤q≤10)

    Table  6.   Multifractal spectrum parameter table of Au in fault buffer zone of the Duolong mineral district(-10≤q≤10)

    方向 αmin α(0) αmax Δα f(αmin) f(αmax) Δf R
    全区断裂 0.962 2.015 2.671 1.709 0.075 -0.768 0.843 1.606
    NW向断裂 0.792 1.972 2.096 1.304 0.033 1.637 -1.604 9.467
    NE向断裂 0.895 1.972 2.699 1.804 0.029 -0.446 0.475 1.479
    EW向断裂 0.962 2.014 2.087 1.125 0.075 1.596 -1.522 14.385
    下载: 导出CSV

    表  7  多龙矿集区主要地层Cu元素多重分形谱参数(-10≤q≤10)

    Table  7.   Multifractal spectrum parameter table of Cu in the main strata in the Duolong mineral district(-10≤q≤10)

    地层代号 αmin α(0) αmax Δα f(αmin) f(αmax) Δf R
    T3r 1.606 2.036 2.164 0.558 0.716 0.942 -0.226 3.369
    JM 1.403 2.009 2.062 0.659 0.440 1.862 -1.422 11.364
    J1q 1.514 1.994 2.034 0.520 0.908 2.010 -1.102 12.098
    J2s 1.408 2.007 2.054 0.646 -0.111 1.968 -2.079 12.658
    K1m 1.445 1.999 2.084 0.639 0.666 1.847 -1.181 6.580
    K2a 1.472 1.978 2.079 0.607 0.736 1.639 -0.903 4.980
    注:表中地层代号同图 1, 下同
    下载: 导出CSV

    表  8  多龙矿集区主要地层Au元素多重分形谱参数(-10≤q≤10)

    Table  8.   Multifractal spectrum parameter table of Au in the main strata in the Duolongmineral district(-10≤q≤10)

    地层代号 αmin α(0) αmax Δα f(αmin) f(αmax) Δf R
    T3r 1.784 2.091 2.186 0.402 0.924 1.629 -0.705 3.223
    JM 1.072 2.010 2.215 1.143 0.004 0.440 -0.436 4.583
    J1q 0.995 1.963 2.663 1.668 0.028 0.440 -0.412 1.383
    J2s 0.962 2.038 2.225 1.263 0.075 0.601 -0.526 5.771
    K1m 1.210 2.034 2.449 1.239 -0.065 -0.369 0.304 1.988
    K2a 0.967 1.913 2.417 1.450 0.017 -0.467 0.484 1.877
    下载: 导出CSV
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  • 收稿日期:  2023-05-22
  • 录用日期:  2023-07-03
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