Identification of Multi-Element Geochemical Anomalies for Cu–Polymetallic Deposits Through Staged Factor Analysis, Improved Fractal Density and Expected Value Function

The Laowan deposit is a typical gold deposit in the Qinling-Dabie metallogenic belt, which produces the most gold resources in Central China. After being explored for decades, follow-up exploration requires additional theoretical support. In this study, the factor analysis (FA) and spectrum–area (S–A) multifractal model were used to process multi-element geochemical data from 369 samples collected in the study area for identifying the geochemical anomalies associated with gold mineralization. The results showed that: (1) the mean Au content in this region is up to 1000 times higher than the Au background values of the upper crust of the South Qinling unit; (2) the factor analysis revealed that Au, Ag, Cu, As, Sb, and S can be used as direct ore-prospecting criteria; (3) the observed elemental zonation is consistent with the zonation of metallic elements in the magmatic–hydrothermal system. This supports the magmatic–hydrothermal origin of the Laowan deposit; (4) the spectrum–area fractal model can help to decompose the geochemical patterns in a complex geological setting. The decomposed geochemical anomaly map obtained by the S–A multifractal model indicated that highly anomalous areas have a great relationship with the Au occurrence and can be a guidance for further exploration in the study area.

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On the expected value function of a simple integer recourse problem with random technology matrix

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(94)90378-6 ◽

1994 ◽

Vol 56 (1-2) ◽

pp. 45-53 ◽

Cited By ~ 5

Author(s):

Willem K Klein Haneveld ◽

Maarten H van der Vlerk

Keyword(s):

Value Function ◽

Expected Value ◽

Integer Recourse ◽

Technology Matrix ◽

Recourse Problem

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Optimization problem under change of regime of interest rate

Stochastics and Dynamics ◽

10.1142/s0219493716500155 ◽

2016 ◽

Vol 16 (05) ◽

pp. 1650015 ◽

Cited By ~ 2

Author(s):

Bogdan Iftimie ◽

Monique Jeanblanc ◽

Thomas Lim

Keyword(s):

Interest Rate ◽

Optimization Problem ◽

Dual Problem ◽

Value Function ◽

Expected Value ◽

Value Functions ◽

Dual Approach ◽

Primal Problem ◽

Terminal Wealth ◽

The Value Function

In this paper, we study the problem of maximization of the expected value of the sum of the utility of the terminal wealth and the utility of the consumption, in a case where some sudden jumps in the risk-free interest rate create incompleteness. To solve the problem we use the dual approach. We characterize the value function of the dual problem by a BSDE and the duality between the primal and the dual value functions is exploited to study the BSDE associated to the primal problem.

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Delineation of geochemical anomalies using factor analysis and multifractal modeling based on stream sediments data in Sarajeh 1:100,000 sheet, Central Iran

Arabian Journal of Geosciences ◽

10.1007/s12517-013-1074-3 ◽

2013 ◽

Vol 7 (12) ◽

pp. 5333-5343 ◽

Cited By ~ 13

Author(s):

Mojtaba Shamseddin Meigoony ◽

Peyman Afzal ◽

Mehran Gholinejad ◽

Amir Bijan Yasrebi ◽

Behnam Sadeghi

Keyword(s):

Factor Analysis ◽

Stream Sediments ◽

Central Iran ◽

Geochemical Anomalies ◽

Multifractal Modeling

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Application of C-N fractal model, factor analysis, and geochemical mineralization probability index (GMPI) for delineating geochemical anomalies related to Mn-Fe deposit and associated Cu mineralization in west-central Sinai, Egypt

Geochemistry Exploration Environment Analysis ◽

10.1144/geochem2021-031 ◽

2021 ◽

pp. geochem2021-031

Author(s):

Hossam A. Helba ◽

Ahmed M. El-Makky ◽

Khalil I. Khalil

Keyword(s):

Factor Analysis ◽

Spatial Distribution ◽

Country Rock ◽

Fractal Model ◽

Geochemical Anomaly ◽

Rock Composition ◽

Geochemical Anomalies ◽

West Central ◽

Supplementary Material ◽

Probability Index

The west-central Sinai area includes one of the most productive manganese deposits in Egypt (Um Bogma Mn-Fe ore). The explored area is covered by a Carboniferous and Cambro-Ordovician sedimentary succession overlying Precambrian basement rocks. The purpose of this study is to delineate geochemical anomalies of ore and related elements and track their dispersion trains, which may lead to discovery of unknown ore deposits. For this purpose, 143 stream sediment samples were analyzed and the data were interpreted using the concentration-number (C-N) fractal model, factor analysis, and the geochemical mineralization probability index. Geochemical thresholds obtained from the C-N fractal model, factor scores, and GMPI were used for constructing geochemical anomaly maps and delineating probable anomalous sites. The spatial distribution of Mn, Cu, Co, Pb, and Zn anomalies was correlated to Mn and Cu mineralization sites whereas those of Fe and Cr were consistent with mafic rock distributions. Factor analysis revealed significant element associations for mineralization (Cu, Co, Mn, Zn, Pb), country rock composition (Fe, Cr), and element mobility (Cd, Zn). The spatial distribution of ore elements (Mn, Cu) delineated by the factor score and GMPI distribution maps was confirmed and more accurately interpreted using geochemical anomaly maps constructed based on the fractal-derived thresholds. Based on the current study, recent Cu and Mn mineralization sites may be suggested. Cobalt, Zn, Pb, and Cd are suggested as efficient pathfinder elements for marine Mn deposits. A dispersion sequence of Cd>Mn>Co>Pb>Zn>Cu>Cr>Fe was proposed based on the threshold distribution patterns of these elements.Supplementary material:https://doi.org/10.6084/m9.figshare.c.5463511

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