基于因子分析法和最小数据集的五大连池火山矿泥质量评价

曾颖, 吴婧, 王希英, 方振兴. 基于因子分析法和最小数据集的五大连池火山矿泥质量评价[J]. 地质与资源, 2021, 30(5): 583-589, 601. doi: 10.13686/j.cnki.dzyzy.2021.05.009
引用本文: 曾颖, 吴婧, 王希英, 方振兴. 基于因子分析法和最小数据集的五大连池火山矿泥质量评价[J]. 地质与资源, 2021, 30(5): 583-589, 601. doi: 10.13686/j.cnki.dzyzy.2021.05.009
ZENG Ying, WU Jing, WANG Xi-ying, FANG Zhen-xing. QUALITY EVALUATION OF WUDALIANCHI VOLCANO MUD BASED ON FACTOR ANALYSIS AND MINIMUM DATA SET[J]. Geology and Resources, 2021, 30(5): 583-589, 601. doi: 10.13686/j.cnki.dzyzy.2021.05.009
Citation: ZENG Ying, WU Jing, WANG Xi-ying, FANG Zhen-xing. QUALITY EVALUATION OF WUDALIANCHI VOLCANO MUD BASED ON FACTOR ANALYSIS AND MINIMUM DATA SET[J]. Geology and Resources, 2021, 30(5): 583-589, 601. doi: 10.13686/j.cnki.dzyzy.2021.05.009

基于因子分析法和最小数据集的五大连池火山矿泥质量评价

  • 基金项目:
    黑龙江省院所基本应用技术研究专项(编号ZNBZ2020ZR09);黑龙江省科学院科学研究基金(编号KY2021ZR04, KY2020ZR04, KY2019HS01)
详细信息
    作者简介: 曾颖(1982-), 女, 硕士, 助理研究员, 从事火山资源开发与保护研究, 通信地址黑龙江省哈尔滨市香坊区哈平路103号, E-mail//76109538@qq.com
    通讯作者: 吴婧(1986-), 女, 硕士, 助理研究员, 从事火山资源开发与保护研究, 通信地址  黑龙江省哈尔滨市香坊区哈平路103号, E-mail//313728968@qq.com
  • 中图分类号: P595

QUALITY EVALUATION OF WUDALIANCHI VOLCANO MUD BASED ON FACTOR ANALYSIS AND MINIMUM DATA SET

More Information
  • 火山矿泥是一种于严苛条件下历经数百年形成的珍稀矿产资源,目前尚无判定及评价其质量的方法.本研究采用因子分析法及最小数据集理论构建火山矿泥质量评价方法,并对五大连池风景区内火山矿泥质量进行综合评价.研究结果表明:火山矿泥质量评价最小数据集包括V、Al、含水量、黏粒,将五大连池火山矿泥分为4个质量等级,其中I级火山矿泥的储量最大,约占总储量的一半.新期火山周边火山矿泥质量最好,西部火山周边的火山矿泥质量整体优于东部.

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  • 图 1  采样点分布图(据文献[3]修改)

    Figure 1. 

    表 1  火山矿泥指标描述性统计

    Table 1.  Descriptive statistics of volcano mud indexes

    指标 样品数/个 平均值 极小值 极大值 标准差 变异系数/%
    Mn/10-6 75 308.173 106.530 740.150 158.342 51.381
    Cu/10-6 75 17.141 7.970 31.290 4.484 26.159
    Zn/10-6 75 45.164 23.740 66.070 7.272 16.102
    Ba/10-6 75 156.385 100.450 306.350 32.438 20.743
    Cr/10-6 75 30.836 13.330 47.460 7.136 23.143
    Ti/10-6 75 688.888 25.410 1370.280 373.900 46.025
    Ni/10-6 75 17.467 7.580 26.410 4.264 24.415
    V/10-6 75 49.372 21.220 72.340 10.879 22.035
    Sr/10-6 75 54.214 25.900 108.800 16.817 31.019
    Sc/10-6 75 7.566 4.550 10.960 1.464 19.349
    La/10-6 75 20.694 13.110 28.090 2.884 13.938
    Li/10-6 75 15.533 2.020 30.820 6.135 39.494
    Fe/10-3 75 23.645 12.860 38.940 5.157 21.811
    Al/10-3 75 29.834 13.090 47.640 7.368 24.696
    Kg/10-3 75 4.179 1.640 8.150 1.716 41.056
    Na/10-3 75 592.718 440.360 853.850 108.136 18.244
    Ca/10-3 75 4.031 2.250 7.270 0.971 24.083
    Mg/10-3 75 4.451 2.050 6.960 1.126 25.305
    TOC/% 75 1.449 0.390 3.780 0.718 49.548
    pH 75 6.515 6.000 7.100 0.197 3.023
    含水量/% 75 30.851 20.500 48.200 6.606 21.413
    石英/% 75 27.365 18.200 34.200 3.036 11.096
    黏粒/% 75 5.296 1.620 10.250 1.745 32.96
    粉粒/% 75 42.454 22.680 66.720 10.074 23.73
    砂粒% 75 52.238 23.040 75.670 11.429 21.88
    下载: 导出CSV

    表 2  火山矿泥指标载荷矩阵、公因子方差和晕燥则皂值

    Table 2.  Loading matrix, common factor variance and Norm values of volcano mud indexes

    指标 PC-1 PC-2 PC-3 PC-4 PC-5 PC-6 分组 公因子方差 Norm
    Mn 0.887 0.018 0.183 0.005 0.209 -0.096 1 0.635 1.354
    Cu 0.878 0.07 -0.027 0.167 -0.221 0.107 1 0.810 1.755
    Zn 0.876 -0.054 0.318 0.109 0.051 -0.137 1 0.846 1.204
    Ba 0.875 0.167 -0.147 0.148 -0.182 -0.055 1 0.685 1.749
    Cr 0.822 0.145 -0.264 0.145 -0.203 0.180 1 0.772 2.689
    Ti 0.808 0.059 -0.08 -0.161 0.173 -0.181 1 0.771 2.420
    Ni 0.807 0.201 0.16 -0.233 0.202 0.006 1 0.755 2.380
    V 0.793 -0.113 0.023 -0.191 -0.113 0.059 1 0.576 2.820
    Sr 0.759 0.072 0.424 0.194 -0.024 -0.021 1 0.721 1.629
    Sc 0.750 -0.046 0.014 0.082 -0.125 0.022 1 0.612 2.504
    La -0.623 0.471 0.188 0.355 -0.185 -0.201 0.866 1.881
    Li 0.615 -0.456 -0.219 -0.333 0.176 0.182 1 0.752 2.469
    Fe 0.543 -0.46 0.020 -0.413 0.192 0.240 1 0.861 2.272
    Al 0.137 0.794 0.268 -0.005 0.177 0.016 2 0.873 2.683
    K 0.227 0.744 0.013 0.242 0.139 0.194 2 0.711 2.548
    Na -0.028 0.624 0.149 -0.449 -0.143 -0.008 2 0.587 1.542
    Ca 0.363 0.45 -0.216 0.335 -0.288 0.190 0.746 1.632
    Mg 0.122 0.135 0.801 0.085 0.126 0.112 3 0.812 2.677
    TOC 0.458 0.253 0.620 0.006 -0.348 -0.133 3 0.753 0.986
    pH 0.527 0.294 0.593 -0.028 -0.078 -0.148 3 0.873 1.025
    含水量 -0.029 0.073 0.070 0.750 0.039 -0.030 4 0.800 1.164
    石英 0.485 0.166 0.364 0.519 0.259 0.193 4 0.696 0.144
    黏粒 -0.088 0.053 0.021 0.088 0.815 -0.045 5 0.768 1.966
    粉粒 0.041 0.031 -0.242 -0.153 0.369 -0.742 0.798 2.136
    砂粒 0.161 0.232 -0.254 -0.212 0.252 0.709 6 0.905 2.176
    主成分特征值 9.103 3.652 1.867 1.657 1.437 1.267
    主成分贡献率/% 36.411 14.607 7.466 6.629 5.750 5.068
    主成分累积贡献率/% 36.411 51.018 58.484 65.113 70.863 75.931
    下载: 导出CSV

    表 3  火山矿泥指标相关性分析

    Table 3.  Correlation analysis of volcano mud indexes

    Mn 砂粒 Cu 粉粒 黏粒 石英 含水量 pH TOC Ca Mg K Na Al Fe Zn Li Sc La Sr V Ni Ti Cr Ba
    Mn 1
    砂粒 0.191 1
    Cu -0.042 -0.042 1
    粉粒 -0.196 -0.995** 0.036 1
    黏粒 -0.124 -0.817** 0.059 0.755** 1
    石英 -0.045 -0.096 -0.127 0.118 -0.030 1
    含水量 0.150 -0.254* 0.153 0.259* 0.157 -0.229* 1
    pH -0.075 0.023 0.100 -0.027 -0.009 0.175 0.070 1
    TOC -0.097 0.212 0.396** -0.190 -0.291* -0.091 -0.115 0.011 1
    Ca 0.234* 0.150 0.334** -0.148 -0.137 -0.086 0.191 0.116 0.218 1
    Mg -0.009 -0.411** 0.464** 0.411** 0.329** -0.136 0.137 -0.180 -0.014 0.291* 1
    K -0.006 -0.424** 0.421** 0.433** 0.286* -0.094 0.292* -0.183 0.021 0.281* 0.857** 1
    Na 0.039 0.035 0.282* -0.022 -0.100 -0.149 0.110 -0.186 0.097 0.512** 0.452** 0.531** 1
    Al 0.006 -0.356** 0.404** 0.360** 0.267* -0.033 0.100 -0.132 0.056 0.292* 0.860** 0.868** 0.428** 1
    Fe -0.034 -0.396** 0.295* 0.380** 0.411** -0.079 0.045 -0.085 -0.029 0.165 0.786** 0.568** 0.252* 0.705** 1
    Zn 0.061 0.142 0.456** -0.169 0.028 -0.126 -0.083 0.121 -0.048 0.204 0.170 -0.031 0.096 -0.002 0.143 1
    Li 0.095 -0.494** 0.334** 0.486** 0.447** 0.202 0.127 0.014 -0.103 0.090 0.615** 0.565** 0.202 0.662** 0.519** 0.063 1
    Sc 0.119 -0.401** 0.444** 0.375** 0.471** 0.036 0.247* 0.081 -0.245* 0.260* 0.606** 0.598** 0.186 0.713** 0.520** 0.256* 0.742** 1
    La 0.186 -0.093 0.445** 0.091 0.079 0.012 -0.075 -0.075 0.049 0.334** 0.433** 0.335** 0.195 0.468** 0.279* 0.497** 0.317** 0.584** 1
    Sr 0.421** 0.211 0.310** -0.209 -0.184 0.033 0.159 0.081 0.182 0.683** 0.085 0.074 0.261* 0.152 0.095 0.301** 0.165 0.304** 0.426** 1
    V 0.031 -0.476** 0.556** 0.458** 0.488** 0.089 0.095 0.083 -0.009 0.223 0.697** 0.584** 0.203 0.692** 0.630** 0.205 0.761** 0.817** 0.535** 0.172 1
    Ni 0.059 -0.321** 0.606** 0.311** 0.309** -0.047 -0.012 -0.115 0.183 0.303** 0.707** 0.511** 0.303** 0.559** 0.587** 0.426** 0.563** 0.541** 0.616** 0.297** 0.772** 1
    Ti -0.040 -0.568** 0.243* 0.560** 0.492** -0.047 0.194 -0.142 -0.131 0.029 0.619** 0.639** 0.216 0.630** 0.488** 0.028 0.629** 0.640** 0.464** 0.002 0.678** 0.530** 1
    Cr -0.023 -0.408** 0.553** 0.397** 0.393** 0.001 -0.013 0.007 0.090 0.120 0.741** 0.583** 0.192 0.730** 0.654** 0.300** 0.713** 0.759** 0.625** 0.133 0.911** 0.830** 0.677** 1
    Ba 0.274* -0.031 0.327** 0.027 0.045 -0.135 -0.178 -0.233* 0.160 0.237* 0.429** 0.314** 0.205 0.428** 0.352** 0.453** 0.251* 0.397** 0.735** 0.421** 0.431** 0.618** 0.405** 0.568** 1
    注:**和*分别为在1%和5%水平下显著相关.
    下载: 导出CSV

    表 4  火山矿泥指标权重

    Table 4.  Weights of volcano mud indexes

    要素类型 V Al 含水量 黏粒
    公因子方差 0.831 0.768 0.905 0.590
    权重 0.269 0.248 0.293 0.191
    下载: 导出CSV

    表 5  五大连池火山矿泥质量指数平均值、等级及储量

    Table 5.  Average quality index, grade and reserves of Wudalianchi volcano mud

    火山名称 QI 等级 储量/104 m3
    药泉山 0.868 10.55
    老黑山 0.946 4.73
    火烧山 0.988 16.48
    东龙门山 0.249 5.12
    西龙门山 0.707 3.54
    东焦德布山 0.662 2.68
    西焦德布山 0.651 2.99
    南格拉球山 0.484 1.54
    北格拉球山 0.522 2.03
    尾山 0.733 4.58
    莫拉布山 0.332 9.67
    卧虎山 - - -
    笔架山 - - -
    小孤山 - - -
    下载: 导出CSV
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出版历程
收稿日期:  2021-04-06
修回日期:  2021-05-17
刊出日期:  2021-10-25

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