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

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

唐杰^{1, 2,},
王文磊^1, ,,
袁长江²

1.
中国地质科学院地质力学研究所, 北京 100081
2.
中国地质大学(北京)地球科学与资源学院, 北京 100083

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
计量
- 文章访问数: 75
- PDF下载量: 34
- 被引次数: 0
出版历程
- 收稿日期: 2023-05-22
- 录用日期: 2023-07-03
- 修回日期: 2023-07-02

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

TANG Jie^{1, 2
,},
WANG Wenlei^{1
, ,},
YUAN Changjiang²

1.
Institute of Geomechanics, Chinese Academy of Geological Sciences, Beijing 100081, China
2.
School of Earth Sciences and Resources, China University of Geosciences(Beijing), Beijing 100083, China

More Information

Author Bio:
TANG Jie, E-mail: jietangcsu@163.com

Corresponding author: WANG Wenlei, E-mail: wenleiw@163.com

摘要

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。
- 勘查地球化学数据 /
- 多龙矿集区 /
- 分形/多重分形 /
- 局部奇异性 /
- 异常提取
Abstract: Objective
As one of the most crucial information carriers for predicting mineralized geological bodies, exploration geochemical data play a significant role in the identifying and extracting mineralization-associated anomalies as well as in analyzing deep-level mineralization information.
Methods
Based on the scale invariance and generalized self-similarity characteristics of the spatial distribution of geochemical elements, this paper uses Cu and Au in the 1:50 000 exploratory geochemical data of the Duolong mineral district as an example and conducts a study using fractal/multifractal and singularity theories to identify the spatial distribution patterns of ore-forming elements and extract anomalies. The multifractal spectrum which is derived by the exploratory moment method for the whole study area, the fault buffer zone and the stratigraphic zone, is used to describe the relative enrichment and depletion of elements in the local area and to analyze the local singularity of Cu and Au mineralized elements, so as to identify and extract weak and low anomalies of mineralized elements and delineate potential mineralization zones.
Results
Both Cu and Au exhibit mineralization-favoured patterns in the Duolong mineral district, with the Cu showing weak enrichment in the region and Au being over-enriched on a local scale. The intersections of the east-west and northeast-trending faults, as well as the Jurassic strata, are identified as the most promising locations for mineralization in this region.
Conclusion
The spatial distribution of the local singularity index is mapped to characterize the distribution features of Cu and Au geochemical anomalies, therefore, the central and northern regions of the ore district are subsequently identified as potential areas for mineralization.
- exploratory geochemical data /
- Duolong mineral district /
- fractal/multifractal /
- local singularity /
- anomaly extraction
注释:

所有作者声明不存在利益冲突。

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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

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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

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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

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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

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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)

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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

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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

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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

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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

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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)

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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)

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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)

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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)

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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/w_B	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

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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

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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

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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	α_min	α(0)	α_max	Δα	f(α_min)	f(α_max)	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

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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	α_min	α(0)	α_max	Δα	f(α_min)	f(α_max)	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

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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	α_min	α(0)	α_max	Δα	f(α_min)	f(α_max)	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

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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	α_min	α(0)	α_max	Δα	f(α_min)	f(α_max)	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

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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	α_min	α(0)	α_max	Δα	f(α_min)	f(α_max)	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

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