Document Type: Original Research Paper


Department of Geology, North Tehran Branch, Islamic Azad University, Tehran, Iran


Identification of the vertical and horizontal distributions for elemental grades is of an important sign in different mineral exploration stages. The main aim of this work is to determine the vertical distribution directional properties of Cu values in the Milloieh Cu porphyry deposit, Kerman (SE Iran) using the power-law frequency fractal model. This work is carried out based on four mineralized boreholes. The Cu grade vertical distribution in mineralized boreholes indicates a positively skewed distribution in the former and multi-modal distribution in the latter types. The power-law frequency analysis in nature represents that the Cu values in four mineralized boreholes are bifractal. The two sections of these graphs outline a break point of about 0.5-1% for Cu values and fractal dimension range of 1.70-4.97 in the mineralized boreholes.


[1]. Afzal, P., Adib, A. and Ebadati, N. 2018. Delineation of seismic zonation using fractal modeling in West Yazd province, Central Iran. Journal of Seismology 22 (6): 1377-1393.

[2]. Afzal, A., Fadakar, Y., Khakzad, A., Moarefvand, P. and Rashidnejad, N. 2011. Geochemical anomaly separation by multifractal modeling in Kahang (Gor Gor) porphyry system, Central Iran. J. Geochem. Explor. 108:220-232.

[3]. Afzal, P., Fadakar Alghalandis, Y., Moarefvand, P., Rashidnejad Omran, N. and Asadi 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 of Geochemical Exploration 112, 131–138.

[4]. Afzal, P., Yousefi, M., Mirzaei, M., Ghadiri-Sufi, E., Ghasemzadeh, S. and Daneshvar Saein, L. 2019. Delineation of podiform-type chromite mineralization using Geochemical Mineralization Prospectivity Index (GMPI) and staged factor analysis in Balvard area (southern Iran). Journal of Mining and Environment 10: 705-715.

[5]. Agterberg, F.P. 1993. Calculation of the variance of mean values for blocks in regional resource evaluation studies. Nonrenewable Resources 2: 312–324.

[6]. Ahrens, L.H. 1966. Element distributions in specific igneous rocks-VIII. Geochim. Cosmochim. Acta 30: 109–122.

[7]. Carranza, E.J.M. 2009. Geochemical anomaly and mineral prospectivity mapping in GIS. Handbook of Exploration and Environmental Geochemistry, 11. Elsevier, 351 pp.

[8]. Cheng, Q. 1995. The perimeter-area fractal model and its application to geology. Math. Geol. 27: 69–82.

[9]. Cheng, Q., Agterberg, F.P. and Ballantyne, S.B. 1994. The separation of geochemical anomalies from background by fractal methods. J. Geochem. Explor. 51: 109–130.

[10]. Daneshvar Saein, L., 2017. Delineation of enriched zones of Mo, Cu and Re by concentration-volume fractal model in Nowchun Mo-Cu porphyry deposit, SE Iran. Iranian Journal of Earth Sciences 9: 64-72.

[11]. Daneshvar Saein, L. and Afzal, P. 2017. Correlation between Mo mineralization and faults using geostatistical and fractal modeling in porphyry deposits of Kerman Magmatic Belt, SE Iran. Journal of Geochemical Exploration 181: 33-343.

[12]. Karami, K. and Afzal, P. 2015. Application of multifractal modeling for separation of sulfidic mineralized zones based on induced polarization and resistivity data in the Ghare-Tappeh Cu deposit, NW Iran. Iranian Journal of Earth Sciences 77: 134-141.

[13]. Khalili, H. and Afzal, P. 2018. Application of spectrum-volume fractal modeling for detection of mineralized zones. Journal of Mining and Environment 9: 371-378.

[14]. Mandelbrot, B.B., 1983. The fractal geometry of nature. New York: W.H. Freeman and Company. 468.

[15]. Mirzaei, M., Afzal, P., Adib, A., Rahimi, E. and Mohammadi, Gh. 2020. Detection of zones based on ore and gangue using fractal and multivariate analysis in Chah Gaz iron ore deposit, Central Iran. Journal of Mining and Environment (In press).

[16]. Monecke, T., Gemmell, J.B. and Monecke, J. 2001. Fractal distributions of veins in drill core from the Hellyer VHMS deposit, Australia: constraints on the origin and evolution of the mineralising system. Miner. Depos. 36: 406–415.

[17]. Rashidnejad Omran, N., Afzal, P., Harati, H., Moarefvand, P., Asadi Haroni, H. and Daneshvar Saeein, L. 2011. Application of power-law frequency fractal model in determination of vertical geochemical distribution of Cu in Kahang porphyry deposit, Central Iran. Journal of Mining and Metallurgy 47 A: 1–8.

[18]. Richards, J.P. 2006. Exploration and Mining Geology now under new management. CIM MAGAZINE 1 (7): 62.

[19]. Richards, J.P. 2015. Tectonic, magmatic, and metallogenic evolution of the Tethyan orogen: From subduction to collision. Ore Geology Reviews 70: 323-345.

[20]. Sanderson, D.J., Roberts, S. and Gumiel, P. 1994. A Fractal relationship between vein thickness and gold grade in drill core from La Codosera, Spain. Econ. Geol. 89: 168–173.

[21]. Shahabpour, J. 1994. Post-mineral breccia dyke from the SarCheshmeh porphyry copper deposit, Kerman, Iran. Exploration and Mining Geology, 3: 39-43.

[22]. Soltani, F., Moarefvand, P., Alinia, F. and Afzal, P. 2019. Characterizing Rare Earth Elements by coupling multivariate analysis, factor analysis and geostatistical simulation; case-study of Gazestan deposit, central Iran. Journal of Mining and Environment 10: 929-945.

[23]. Turcotte, D.L. 1996. Fractals and Chaos in Geophysics, 2nd ed. Cambridge University Press, Cambridge UK, 81–99.

[24]. Wang, Z., Cheng, Q. and Cao, L. 2006. Fractal modeling of the microstructure property of quartz mylonite during deformation process. Math. Geol. 39: 53–68.

[25]. Yasrebi, A.B., Hezarkhani, A. and Afzal, P. 2017. Application of Present Value-Volume (PV-V) and NPV-Cumulative Total Ore (NPV-CTO) fractal modelling for mining strategy selection. Resources Policy 53: 384-393.

[26]. Yasrebi, A.B. and Hezarkhani, A. 2019. Resources classification using fractal modelling in Eastern Kahang Cu-Mo porphyry deposit, Central Iran. Iranian Journal of Earth Sciences 11: 56-67.

[27]. Yasrebi, A.B., Wetherelt, A., Foster, P., Coggan, J., Afzal, P., Agterberg, F.P. and Kaveh Ahangaran, D. 2014. Application of a density-volume (D-V) fractal model for rock characterisation and correlation of RQD and lithological units with density model in the Kahang porphyry deposit, Central Iran. International Journal of Rock Mechanics and Mining Sciences 66: 188–193.

[28]. Zuo, R. 2011. Decomposing of mixed pattern of arsenic using fractal model in Gangdese belt, Tibet, China. Appl. Geochem 26:S271-S273.

[29]. Zuo, R., Cheng, Q. and Xia, Q. 2009. Application of fractal models to characterization of vertical distribution of geochemical element concentration, Journal of Geochemical Exploration, 102 (1): 37-43.

[30]. Zuo, R. and Wang, J. 2016. Fractal/multifractal modeling of geochemical data: A review. Journal of Geochemical Exploration, 164: 33-41.