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Frontiers of Earth Science

ISSN 2095-0195

ISSN 2095-0209(Online)

CN 11-5982/P

邮发代号 80-963

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Frontiers of Earth Science  2019, Vol. 13 Issue (1): 229-246   https://doi.org/10.1007/s11707-018-0705-0
  本期目录
Applied statistical functions and multivariate analysis of geochemical compositional data to evaluate mineralization in Glojeh polymetallic deposit, NW Iran
F DARABI-GOLESTAN(), A HEZARKHANI
Department of Mining and Metallurgical Engineering, Amirkabir University of Technology, Tehran, Iran
 全文: PDF(3141 KB)   HTML
Abstract：

Various genesis of epithermal veins as well as host rock cause complication in the modeling process. Thus LINEST and controlling function were applied to improve the accuracy and the quality of the model. The LINEST is a model which is based on multiple linear regression and refers to a branch of applied statistics. This method concerns directly to the application of t-test (TINV and TDIST to analyses of variables in the model) and F-test (FDIST, F-statistic to compare different models) analysis. Backward elimination technique is applied to reduce the number of variables in the model through all the borehole data. After 18 steps, an optimized reduced model (ORM) was constructed and ranked in order of importance as Pb>Ag>P>Hg>Mn>Nb>U>Sr>Sn>As>Cu, with the lowest confidence level (CL) of 92% for Cu. According to the epigenetic vein genesis of Glojeh polymetallic deposit, determination of spatial patterns and elemental associations accompanied by anomaly separation were conducted by K-means cluster and robust factor analysis method based on centered log-ratio (clr) transformed data. Therefore, 12 samples (cluster 2) with the maximum distance from centroid, indicates the intensity of vein polymetallic mineralization in the deposit. In addition, an ORM for vein population was extracted for Sb>Al>As>Mg>Pb>Cu>Ag elements with the R2 up to 0.99. On the other hand, after 23 steps of optimization process at the host rock population, an ORM was conducted by Ag>Te>Hg>Pb>Mg>Al>Sb>As represented in descending order of t-values. It revealed that Te and Hg can be considered as pathfinder elements for Au at the host rock. Based on the ORMs at each population Ag, Pb, and As were often associated with Au mineralization. The concentration ratio of (tSb×tAl)vein/(tSb×tAl)background as an enrichment index can intensify the mineralization detection. Finally, Glojeh deposit was evaluated to be classified as a vein-style Au (Ag, Pb, As)-polymetallic mineralization.
Key words： LINEST and controlling function    optimized reduced model    log-ratio (clr) transformation    K-means cluster    robust factor analysis    pathfinder elements    vein-style Glojeh polymetallic mineralization
收稿日期: 2017-03-17      出版日期: 2019-01-25
Corresponding Author(s): F DARABI-GOLESTAN   
 引用本文:   
. [J]. Frontiers of Earth Science, 2019, 13(1): 229-246.
F DARABI-GOLESTAN, A HEZARKHANI. Applied statistical functions and multivariate analysis of geochemical compositional data to evaluate mineralization in Glojeh polymetallic deposit, NW Iran. Front. Earth Sci., 2019, 13(1): 229-246.
 链接本文:  
https://academic.hep.com.cn/fesci/CN/10.1007/s11707-018-0705-0
https://academic.hep.com.cn/fesci/CN/Y2019/V13/I1/229
Fig.1  
Fig.2  
Intercept X1 X2 … Xk−1 Xk
Intercept b0 Slope b1 Slope b2 … Slope bk−1 Slope bk
Standard error for
b0 =SE0		 Standard error for b1 =SE1 Standard error for b2=SE2 … Standard error for bk−1=SEk−1 Standard error for bk =SEk
R2 SEy
F Statistic=F Degrees of freedom=df2
Regression SS=SSRa) Residual SS=SSEb)
Tab.1  
df? A 0.80
0.20		 0.90
0.10		 0.95
0.05		 0.98
0.02		 0.99
0.01		 0.995
0.005		 0.998
0.002		 0.999
0.001
P
1 3.078 6.314 12.71 31.82 63.66 127.3 318.3 636.6
2 1.886 2.920 4.303 6.965 9.925 14.09 22.33 31.60
3 1.638 2.353 3.182 4.541 5.841 7.453 10.21 12.92
4 1.533 2.132 2.776 3.747 4.604 5.598 7.173 8.610
5 1.476 2.015 2.571 3.365 4.032 4.773 5.893 6.869
6 1.440 1.943 2.447 3.143 3.707 4.317 5.208 5.959
7 1.415 1.895 2.365 2.998 3.499 4.029 4.785 5.408
8 1.397 1.860 2.306 2.896 3.355 3.833 4.501 5.041
9 1.383 1.833 2.262 2.821 3.250 3.690 4.297 4.781
10 1.372 1.812 2.228 2.764 3.169 3.581 4.144 4.587
20 1.325 1.725 2.086 2.528 2.845 3.153 3.552 3.850
30 1.310 1.697 2.042 2.457 2.750 3.030 3.385 3.646
40 1.303 1.684 2.021 2.423 2.704 2.971 3.307 3.551
50 1.299 1.676 2.009 2.403 2.678 2.937 3.261 3.496
60 1.296 1.671 2.000 2.390 2.660 2.915 3.232 3.460
80 1.292 1.664 1.990 2.374 2.639 2.887 3.195 3.416
100 1.290 1.660 1.984 2.364 2.626 2.871 3.174 3.390
120 1.289 1.658 1.980 2.358 2.617 2.860 3.160 3.373
∞ 1.282 1.645 1.960 2.326 2.576 2.807 3.090 3.291
Tab.2  
Fig.3  
Step Cor. df1 df2 FDIST TINV TDIST
of %90		 Elements by minimum t value
Ele. 1 Value Ele. 2 Value
1 0.77 42 95 1.49E?16 1.661 0.99 Se 0.02 Cr 0.11
2 0.77 40 97 1.82E?17 1.661 0.90 Ce 0.12 Bi 0.16
3 0.77 38 99 2.08E?18 1.660 0.88 La 0.15 Zn 0.16
4 0.77 36 101 2.23E?19 1.660 0.88 Zr 0.15 Rb 0.17
5 0.77 34 103 2.21E?20 1.660 0.79 Threshold limit 0.26 Te 0.30
6 0.77 33 105 3.92E?21 1.659 0.72 Ni 0.35 Sc 0.46
7 0.77 31 107 3.95E?22 1.659 0.66 Y 0.45 V 0.51
8 0.77 29 109 3.72E?23 1.659 0.65 Mo 0.45 Li 0.51
9 0.77 27 111 3.45E?24 1.659 0.42 Be 0.80 Al 0.82
10 0.76 25 113 4.9E?25 1.658 0.58 Th 0.56 W 0.98
11 0.76 23 115 5.91E?26 1.658 0.51 Ti 0.65 Fe 1.04
12 0.76 21 117 6.16E?27 1.658 0.29 Sb 1.05 S 1.18
13 0.75 19 119 1.02E?27 1.658 0.56 Ca 0.59 Ba 0.88
14 0.75 17 121 8.06E?29 1.658 0.47 K 0.73 Cd 0.99
15 0.75 15 123 6.94E?30 1.657 0.31 Mg 1.01 Co 1.23
16 0.74 13 125 7.04E?31 1.657 0.23 Na 1.21
17 0.74 12 126 2.54E?31 1.657 0.10 Tl 1.64
18 0.74 11 127 1.58E?31 1.657 0.08 Cu 1.75
19 0.73 10 128 1.14E?31 1.657 0.06 As 1.87
Tab.3  
Element (x) U Sr Sn Pb P Nb Mn Hg Cu As Ag
b(x) 0.326 −0.158 0.270 0.379 −0.285 0.196 −0.198 −0.235 −0.121 0.160 0.293
Se(x) 0.121 0.062 0.116 0.073 0.084 0.063 0.063 0.073 0.069 0.074 0.085
t-value= b(x)/ Se(x) 2.700 2.551 2.322 Max t-value=5.198 3.375 3.099 3.146 3.233 Min t-value=1.750 2.172 3.470
TDIST= p-value 0.008 0.012 0.022 0.000 0.001 0.002 0.002 0.002 0.083 0.032 0.001
Tab.4  
Fig.4  
Fig.5  
Item Cluster 1 Cluster 2 Cluster 3
Number of observations 82 12 44
Within cluster sum of squares 1270.338 493.912 516.369
Average distance from centroid 3.856 6.253 3.283
Maximum distance from centroid 5.677 9.281 6.403
Tab.5  
Fig.6  
Step R2 df1 df2 F value FDIST TINV Elements by minimum t value
of %95 Ele. 1 Value Ele. 2 Value
1 0.701 42 83 4.653 1.20E?09 1.989 Mn 0.09 Se 0.07
2 0.701 40 85 5.002 2.40E?10 1.988 Na 0.13 Bi 0.11
3 0.701 38 87 5.386 4.50E?11 1.988 Li 0.14 Zr 0.13
4 0.701 36 89 5.811 7.70E?12 1.987 Ce 0.31 Ni 0.17
5 0.701 34 91 6.279 1.30E?12 1.986 Rb 0.4 V 0.34
6 0.7 32 93 6.788 2.10E?13 1.986 La 0.54 Mo 0.42
7 0.698 30 95 7.347 3.40E?14 1.985 Zn 0.74 Y 0.44
8 0.696 28 97 7.953 5.70E?15 1.985 Tl 0.79 Sc 0.78
9 0.693 26 99 8.597 1.10E?15 1.984 U 0.99 Ti 0.53
10 0.689 24 101 9.326 2.00E?16 1.984 K 1.28 Fe 1.18
11 0.681 22 103 10.007 6.20E?17 1.983 Cr 1.24 Sn 1.1
12 0.67 20 105 10.69 2.70E?17 1.983 Cd 1.33 P 0.9
13 0.661 18 107 11.615 8.50E?18 1.982 Be 1.55 Ba 1.35
14 0.649 16 109 12.649 3.50E?18 1.982 Co 1.38
15 0.643 15 110 13.254 2.30E?18 1.982 Cu 1.41
16 0.637 14 111 13.934 1.50E?18 1.982 Sr 1.56
17 0.629 13 112 14.63 1.20E?18 1.981 Th 1.4
18 0.622 12 113 15.554 7.20E?19 1.981 Ca 1.29
19 0.617 11 114 16.721 3.70E?19 1.981 W 1.64
20 0.608 10 115 17.859 3.00E?19 1.981 Threshold limit 1.69
21 0.613 10 116 18.44 8.90E?20 1.981 S 1.54
22 0.605 9 117 19.992 5.90E?20 1.98 Nb 1.76
23 0.596 8 118 21.72 5.30E?20 1.98 As 1.954
24 0.582 7 119 23.716 6.40E?20 1.98 Al 2.15
Tab.6  
Step Parameter Te Sb Pb Mg Hg As Al Ag
1 bk 0.266 0.143 0.220 −0.238 −0.227 0.152 −0.145 0.285
2 SEk 0.091 0.072 0.085 0.099 0.081 0.078 0.068 0.091
3 R2 and SEy 0.596 0.570
4 F and df 21.720 118
5 SSR and SSE 56.452 38.336
6 t value=ABS(bk /SEk) 2.93 1.98 2.58 2.40 2.79 1.954 2.12 3.12
7 P value= TDIST function 0.004 0.050 0.011 0.013 0.006 0.05 0.036 0.002
Tab.7  
Step R2 df1 df2 FDIST TINV
of 95%		 Element by minimum t value
Element Value
1 0.877 10 1 7.38E–01 12.706 Te 0.072
2 0.877 9 2 4.49E–01 4.303 Zn 0.050
3 0.876 8 3 2.27E–01 3.182 Threshold limit 0.045
4 0.995 8 4 2.71E–04 2.776 Hg 0.445
5 0.995 7 5 2.41E–05 2.571 Ag 1.090
Tab.8  
Element t value ABS (t value) TDIST CL%
Sb 4.173 4.173 0.009 99.1
Pb −1.350 1.350 0.235 76.5
Mg 1.740 1.740 0.142 85.8
Cu 1.322 1.322 0.243 75.7
As 1.741 1.741 0.142 85.8
Al −1.752 1.752 0.140 86.0
Ag 1.087 1.086 0.327 67.3
Tab.9  
Fig.7  
Fig.8  
Fig.9  
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