Selection of Optimum Fractal Model for Detection of Stream Sediments Anomalies

Document Type : Research Paper


1 Department of Geology, Science and Research Branch, Islamic Azad University, Tehran, Iran

2 2. Department of Petroleum and Mining Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran


The main purpose of this research is a comparative study among four different fractal models including Concentration-Perimeter/Area (C-P/A), Concentration-Number (C-N), Concentration-Area (C-A) and Concentration-Perimeter (C-P) for delineation of stream sediments Au anomalies based on catchment basins in Aghkand region, NW Iran. In this study, a total of 920 stream sediment samples were utilized to determine the geochemical anomalies of Au using the fractal models for selection of optimum model. As a result, the Au anomalies were correlated with geological units located in the western and SW parts of the region that mainly consist of andesite rocks and tuffs. To certify this, 78 litho-geochemical sets of data were utilized to validate the C–P/A, C–N, C–A and C–P fractal models for Au by logratio matrix. The overall accuracy rates are 0.97, 0.96, 0.95 and 0.95 for the C– P/A, C–N, C–A, C–P fractal models, respectively. It showed that the C–P/A model was the optimum fractal model in the study region.


Article Title [Persian]


Agterberg, F., 1995. Multifractal modeling of the sizes and grades of giant and supergiant deposits. International Geology Review, 37: 1–8.##
Atapour, H., Aftabi, A, 2007. The geochemistry of gossans associated with Sarcheshmeh porphyry copper deposit, Rafsanjan, Kerman, Iran: Implications for exploration and the environment. Journal Geochemical Exploration, 93: 47– 65.##
Aliyari, F., Rastad, E., Mohajjel, M., Arehart, G.B., 2009. Geology and geochemistry of DO-C isotope systematics of the Qolqoleh Gold Deposit, Northwestern Iran, implications for ore genesis. Ore Geology Revews, 36: 306–314.##
Afzal, P., Khakzad, A., Moarefvand, P., Rashidnejad Omran, N., Esfandiari, B., Fadakar Alghalandis, Y., 2010.##
Geochemical anomaly separation by multifractal modeling in Kahang (Gor Gor) porphyry system, Central Iran. JournalGeochemical Exploration, 104: 34–46.##
Afzal, P., Fadakar Alghalandis, Y., Moarefvand, P., Rashidnejad Omran, N., Asadi Afzal, P., Fadakar Alghalandis, Y., Khakzad, A., Moarefvand, P., Rashidnejad Omran, N., 2011. Delineation of mineralization zones in porphyry Cu deposits by fractal concentration-volume modeling, Journal Geochemical Exploration, 108: 220–232.##
Afzal, P., Alhoseini, SH., Tokhmechi, B., Kaveh Ahangaran, D., Yasrebi, A.B., Madani, N., Wetherelt, A., 2014. Outlining of high quality coking coal by concentration–volume fractal model and turning bands simulation in East- Parvadeh coal deposit, Central Iran. International Journal of Coal Geology, 127: 88–99.##
Asadi, S., Moore, F., Zarasvandi, A., 2014. Discriminating productive and barren porphyry copper deposits in the southeastern part of the central Iranian volcano-plutonic belt, Kerman region, Iran, A review. Earth-Science Reviews, 138: 25–46.##
Afzal, P., Mirzaei, M., Yousefi, M., Adib, A., Khalajmasoumi, M., Zia Zarifi, A., Foster, P., Yasrebi, A., 2016. Delineation of geochemical anomalies based on stream sediment data utilizing fractal modeling and staged factor analysis. Journal of African Earth Sciences, 119: 139–149.##
Bölviken, B, Stokke, P.R., Feder, J., Jössang, T., 1992. The fractal nature of geochemical landscapes. Journal Geochemical Exploration, 43: 91–109.##
Babaie, H.A., Ghazi, A.M., Babaei, A., La Tour, T.E., Hassanipak, A.A., 2001. Geochemistry of arc volcanic rocks of the Zagros crush zone, Neyriz, Iran. Journal of Asian Earth Science, 19: 61–76.##
Cheng, Q., Agterberg, F.P., Ballantyne, S.B., 1994. The separation of geochemical anomalies from background by fractal methods. Journal of Geochemical Exploration, 51: 109–130.##
Cheng. Q, 1995. The perimeter area fractal model and its application to geology. Mathematical Geology, 27: 69–82.##
Cheng, Q., Xu, Y., Grunsky, E. , 2000. Integrated spatial and spectral analysis for geochemical anomaly separation. Natural Resources Research, 9: 43–52.##
Carranza, E.J.M., 2008. Geochemical anomaly and mineral prospectivity mapping in GIS. Handbook of exploration and environmental geochemistry, 11: 1–351.##
Carranza, E.J.M., 2009. Controls on mineral deposit occurrence inferred from analysis of their spatial pattern and spatial association with geological features. Ore Geology Reviews, 35: 383–400.##
Carranza, E.J.M., 2011. Analysis and mapping of geochemical anomalies using logratio-transformed stream sediment data with censored values. Journal of Geochemical Explortion, 110: 167–185.##
Chen, G., Cheng, Q., 2016. Singularity analysis based on wavelet transform of fractal measures for identifying geochemical anomaly in mineral exploration. Computers & Geosciences, 87: 56–66.##
Davis, J.C., 2002. Statistics and Data Analysis in Geology, 3rd edition. John Wiley & Sons Inc, New York: 638.##
Dargahi. S., Arvin, M., Pan, Y., Babaei, A., 2010. Petrogenesis of post-collisional A-type granitoids from the Urumieh– Dokhtar magmatic assemblage, Southwestern Kerman, Iran, Constraints on the Arabian–Eurasian continental collision. Lithos, 115: 190–204.##
Deng, J., Wang, Q., Yang, L., Wang, Y., Gong, Q., Liu, H., 2010. Delineation and explanation of geochemical anomalies using fractal models in the Heqing area, Yunnan Province, China. Journal of Geochemical Exploration, 105: 95–105.##
Ellis, A.J., 1979. Explored geothermal systems. In Barnes HL (ed), Geochemistry of hydrothermal ore deposits, 2nd edition, Wiley-Interscience, New York: 632–683.##
Ghezelbash, R., Maghsoudi, A., Daviran, M., Yilmaz, H., 2019. Incorporation of principal component analysis, geostatistical interpolation approaches and frequency-space-based models for portraying the Cu-Au geochemical 404 Shahsavar et al. Geopersia, 10 (2), 2020
prospects in the Feizabad district, NW Iran. Geochemistry, 79: 323–336.##
Ghezelbash, R., Maghsoudi, A., Daviran, M., 2019 a. Combination of multifractal geostatistical interpolation and spectrum–area (S–A) fractal model for Cu–Au geochemical prospects in Feizabad district, NE Iran. Arabian Journal of Geosciences, 12: 152.##
Ghezelbash, R., Maghsoudi, A., Carranza, E. J. M., 2019 b. Mapping of single-and multi-element geochemical indicators based on catchment basin analysis: Application of fractal method and unsupervised clustering models. Journal of Geochemical Exploration, 199: 90–104.##
Hezarkhani, A., Williams-Jones, A.E., 1998. Controls of alteration and mineralization in the Sungun porphyry copper deposit, Iran, evidence from fluid inclusions and stable isotopes. Economic Geology, 93: 651–670.##
Haroni, H., 2012. Application of power-spectrum-volume fractal method for detecting hypogene, supergene enrichment, leached and barren zones in Kahang Cu porphyry deposit, Central Iran. Journal Geochemical Exploration, 112: 131– 138.##
Heidari, S.M., Ghaderi. M., Afzal, P., 2013. Delineating mineralized phases based on lithogeochemical data using multifractal model in Touzlar epithermal Au–Ag (Cu) deposit, NW Iran. Geochemistry, 31: 119–132.##
Karimzadeh Somarin, A., 2005. Petrology and geochemistry of Early Tertiary volcanism of the Mendejin area, Iran, and implications for magma genesis and tectonomagmatic setting. Geodinamic Acta, 18: 343–362.##
Karimzadeh Somarin, A., 2006. Geology and geochemistry of the Mendejin plutonic rocks, Mianeh, Iran. Journal of Asian Earth Sciences, 27: 819–834.##
Karimzadeh Somarin., A., Lentz, D.R., 2008. Mineralogy, geochemistry and fluid evolution of a fossil hydrothermal system in the Paleogene Mendejin volcanic sequence, East Azarbaijan, Iran. Mineralogy and Petrology, 94: 123–143.##
Li, C., Ma., T., Shi., J., 2003. Application of a fractal method relating concentrations and distances for separation of geochemical anomalies from background. Journal of Geochemical Exploration, 77: 167–175.##
Lotfi, M., Karimi, M., 2004. Mineralization and genesis of vein type Baycheh Baq deposit (Zanjan, NW Iran), Ulum-IZamin, 53: 40–55 (In Persian).##
Mandelbrot, B.B., 1983. The fractal geometry of nature. W.H. Freeman and company, San Francisco: 468.##
Mohajjel, M., Fergusson, C.L., 2000. Dextral transpression in Late Cretaceous continental collision, Sanandaj-Sirjan zone, western Iran. Journal of Structural Geology, 22: 1125–1139.##
Maghsoudi., A., Rahmani, M., Rashidi, B., 2005. Gold deposites and indications of iran. Research manual for Students of Earth Science (In Persian).##
Yousefi, M., Carranza, E.J., Kamkar-Rouhani, A., 2013. Weighted drainage catchment basin mapping of geochemical anomalies using stream sediment data for mineral potential modeling. Journal of Geochemical Exploration, 128: 88-96.##
Makovicky, E., Topa, D., Tajeddin, H., Putz, H., Zagler, G., 2013. Ferdowsiite a new mineral from the Barika ore deposit, Iran. Candian Mineralogist, 51: 727–734.##
Pirajno, F., 2009. Hydrothermal Processes and Mineral Systems. Springer, The University of Western Australia, Perth. Parsa. M., Maghsoudi, A., Ghezelbash, R., 2016. Decomposition of anomaly patterns of multi-element geochemical signatures in Ahar area, NW Iran, a comparsion of U-spatial statistic and fractal models. Arabian Journal of Geoscience, 9: 260.##
Parsa, M., Maghsoudi, A., Yousefi, M., Carranza. E.J.M., 2017. Multiftactal interpolation and sediment geochemical data: Implication for mapping exploration targets. Journal of African Earth Sciences, 128: 5–15.##
Sim, B.L., Agterberg, F.P., Beaudry, C., 1999. Determining the cutoff between backgroundand relative base metal contamination levels using multifractal methods. Computers and Geosciences, 25: 1023–1041.##
Shen, W., Zhao, P., 2002. Theoretical study of statistical fractal model with applications to mineral resource prediction, Computer and Geosciences, 28: 369–376.##
Shafiei, B., Haschke, M., Shahabpour, J., 2009. Recycling of orogenic arc crust triggers porphyry Cu mineralization in Kerman Cenozoic arc rocks, southeastern Iran. Mineralium Deposita, 44: 265–283.##
Sadeghi, B., Moarefvand, P., Afzal, P., Yasrebi, A.B., Daneshvar, Saein, L., 2012. Application of fractal models to outline mineralized zones in the Zaghia iron ore deposit, Central Iran. Journal of Geochemical Exploration, 122: 9–19.##
Sadeghi, B., Madani, N., Carranza, E.J.M., 2015. Combination of geostatistical simulation and fractal modeling for mineral resource classification. Journal of Geochemical Exploration, 149: 59–73.##
Tajeddin, H., 2011. Gold ore controlling factors in metamorphic rocks of Saqez–Sardasht, NW of Sananda–Sirjan metamorphic zone. Ph.D. Dissertation, Tarbiat Modarres University, Tehran, Iran: 436.##
Zarasvandi, A., Rezaei, M., Raith, J., Lentz, D., Azimzadeh, A.M., Pourkaseb H., 2015. Geochemistry and fluid characteristics of the Dalli porphyry Cu–Au deposit, Central Iran. Journal of Asian Earth Sciences, 111: 175–191.##
Zuo, R., Wang, J., Chen, G., Yang, M., 2015. Identification of weak anomalies: A multifractal perspective. Journal of Geochemical Exploration, 148: 12–24##
  • Receive Date: 12 December 2019
  • Revise Date: 08 March 2020
  • Accept Date: 06 April 2020
  • First Publish Date: 01 November 2020