ادیب، ا. و افضل، پ .، 1402، انحلال عناصر نادر خاکی از باطلههای سنگ آهن آپاتیتی معدن مروارید زنجان با روش فروشویی و هضم اسیدی، فصلنامه علمی علوم زمین، دوره 34 ، شماره 1، پیاپی 131، صفحه 81 تا 98 . .10.22071/gsj.2023.384172.2061
امینی، ب.، 1348، نقشه زمینشناسی 1:100000 طارم، سازمان زمینشناسی ایران.
پورغلام، م.م.، رجبی، ح. .، اثنی عشری، ع. و دیداری، ح.، 1384، گزارش بررسی محصولات جانبی معادن، پروژه اکتشاف عناصر نادر خاکی، سازمان زمین شناسی و اکتشافات موادمعدنی ایران.
خانمحمدی، ن.، خاکزاد، ع.، ایزدیار، ج.، 1389، بافت کانیشناسی و پیدایش کانسار آهن آپاتیت ذاکر (شرق زنجان). فصل نامه علمی، علوم زمین. سال 19، شماره76، 119-126. 10.22071/gsj.2009.55669
رحمانی، ش. و مختاری، ع. ا.، 1382، گزارش پروژه اکتشاف عناصر کمیاب خاکی، سازمان زمین شناسی و اکتشافات موادمعدنی ایران.
گروه ژئوشیمی معاونت اکتشاف، 1387، گزارش پروژه اکتشاف سیستماتیک ژئوشیمیایی در محدوده برگه یکصدهزارم طارم، سازمان زمین شناسی و اکتشافات موادمعدنی ایران.
نباتیان، ق.، 1391، زمینشناسی، ژئوشیمی و تکامل کانسارهای اکسید آهن-آپاتیت در کمربند ماگمایی طارم (البرز غربی)، رساله دکتری، دانشگاه تربیت مدرس، تهران، ایران.
Abry, P., Jaffard, S., and Wendt, H., 2012. Irregularities and Scaling in Signal and Image Processing: Multifractal Analysis https://doi.org/10.1142/9789814366076_000310.1142/9789814366076_0003.
Adib, A., and Afzal, P., 2024. Dissolution of rare earth elements from Zanjan Morvarid iron ore tailings by leaching and acid digestion method., Scientific Quarterly Journal of Geosciences (https://www.gsjournal.ir), Vol. 34, Issue 1, Serial No. 131, pp. 81-98. 10.22071/gsj.2023.384172.2061. (in Persian).
Adib, A., Nabilou, M., and Afzal, P., 2021. Relationship between Fe-Cu-REEs mineralization and magnetic basement faults using multifractal modeling in Tarom region, NW Iran, Episodes, doi.org/10.18814/epiiugs / 2021/021017.
Afzal P., Fadakar Alghalandis Y., Khakzad A., Moarefvand P., and Rashidnejad Omran N., 2011. Delineation of mineralization zones in porphyry Cu deposits by fractal concentration–volume modeling. J Geochem Explor 108, 220–232. https://doi.org/10.1016/j.gexplo.2011.03.005.
Afzal, P., Harati, H., Fadakar Alghalandis, Y., and Yasrebi, A.B., 2013. Application of spectrum–area fractal model to identify of geochemical anomalies based on soil data in Kahang porphyry-type Cu deposit, Iran. Chemie der Erde/Geochemistry,73, 533-543. https://doi.org/10.1016/j.chemer.2013.08.001.
Afzal, P., Heidari, S.M., Ghaderi, M., and Yasrebi, A.B., 2017. Determination of mineralization stages using correlation between geochemical fractal modeling and geological data in Arabshah sedimentary rock-hosted epithermal gold deposit, NW Iran. Ore Geology Reviews 91: 278-295. https://doi.org/10.1016/j.oregeorev.2017.07.017.
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). J. Mining and Environment. 10, 705-715. https://doi.org/10.22044/jme.2019.7785.1652.
Agterberg F.P., 1995. Multifractal modeling of the sizes and grades of giant and supergiant deposits. Int Geol Rev 37, 1–8. https://doi.org/10.1080/00206819509465388.
Alavi, M., 1991. Sedimentary and structural characteristics of the paleo-Tethys remnants in northeastern Iran, Geological Society of America Bulletin, 103, 1991, 983-992. https://doi.org/10.1130/0016-7606(1991)1032.3.CO;2.
Ali, Kh., Cheng, Q., and Zhijun, C., 2007. Multifractal power spectrum and singularity analysis for modelling stream sediment geochemical distribution patterns to identify anomalies related to gold mineralization in Yunnan Province, South China. Geochemistry: Exploration, Environment, Analysis 7 (4), 293-301. https://doi.org/10.1144/1467-7873/06-116.
Amini, B., 1969. Tarom 1:100000, Geological map, Geological Survey of Iran. (In Persian).
Carranza, E.J.M., 2011. Analysis and mapping of geochemical anomalies using logratio-transformed stream sediment data with censored values. Journal of Geochemical Exploration 110, 167-185. https://doi.org/10.1016/j.gexplo.2011.05.007.
Cheng, Q., 2007. Multifractal imaging filtering and decomposition methods in space, Fourier frequency, and eigen domains. Nonlinear Processes in Geophysics, 14(3), pp. 293-303.
Chen, G., and Cheng, Q., 2016. Singularity analysis based on wavelet transform of fractal measures for identifying geochemical anomaly in mineral exploration. Computers & Geosciences, 87, pp. 56-66. https://doi.org/10.1016/j.cageo.2015.11.008.
Cheng, Q., Agterberg, F.P., Ballantyne, S.B., 1994. The separation of geochemical anomalies from background by fractal methods. J. Geochem. Explor. Volume 51, Issue 2, 109-130. https://doi.org/10.1016/0375-6742(94)90013-2.
Cheng, Q., Xu, Y., and Grunsky, E., 1999. Integrated spatial and spectral analysis for geochemical anomaly separation. in Proc. of the Conference of the International Association for Mathematical Geology, S.J. Lippard, A. Naess and R. Sinding-Larsen (Eds.) Trondheim, Norway, Vol. 1, 87-92.
Cheng, Q.,1999. Multifractality and spatial statistics. Comput Geosci 25:949–961. https://doi.org/10.1016/S0098-3004(99)00060-6.
Daya, A.A., 2015. Comparative study of C–A, C–P, and N–S fractal methods for separating geochemical anomalies from background: A case study of Kamoshgaran region, northwest of Iran. J Geochem Explor 150, 52-63. https://doi.org/10.1016/j.gexplo.2014.12.017.
Donoho, D.L., Johnstone, J.M., 1994. Ideal spatial adaptation by wavelet shrinkage. Biometrika 81:425–455. https://doi.org/10.1093/biomet/81.3.425.
Evertz, C.J.G., and Mandelbrot, B.B., 1992. Multifractal measures (appendix B), In: Peitgen, H.-O., Jurgens, H., Saupe, D. (Eds.). Chaos and Fractals. Springer, New York.
Geochemistry Group, Exploration Deputy, 2008. Report of the systematic geochemical exploration project in the Tarom 1:100,000 sheet area, Geological and Mineral Exploration Organization of Iran (In Persian).
Hadiloo, S., Mirzaei, S., Hashemi, H., and Beiranvand, B., 2018. Comparison between unsupervised and supervised fuzzy clustering method in interactive mode to obtain the best result for extract subtle patterns from seismic facies maps. Geopersia 8 (1), 2018, PP. 27-34 DOI: 10.22059/GEOPE.2017.240099.648346.
Hassanzadeh, J., Axen, G., Guest, B., Stockli, D.F., and Ghazi, A.M., 2004. The Alborz and NW Urumieh-Dokhtar magmatic belts, Iran: rifted parts of a single ancestral arc. Geological Society of America National Meeting. Geological Society of America, Denver, Colorado, 434.
Hurst, H.E., 1951. Long-term storage capacity of reservoirs. Transactions of the American Society of Civil Engineers. 116: 770. doi:10.1061/TACEAT.0006518.
Khanmohamadi, N., Khakzad, A., and Izadyar, J., 2010. Mineralogy texture and genesis of Zaker iron- apatite deposit (NE Zanjan). Scientific Quarterly Journal of Geosciences, 76, 119-126. 10.22071/gsj.2009.55669 . (in Persian).
Mallat, S., 1989. A theory for multiresolution signal decomposition: the wavelet representation. IEEE Transactions on Pattern Analysis and Machine Intelligence 11 (7), 674-693. https://doi.org/10.1109/34.192463.
Mallat, S., 1999. A Wavelet Tour of Signal Processing. 2nd ed. San Diego: Academic Press. (ISBN: 9780124666061).
Mandelbrot, B.B., 1983. The Fractal Geometry of Nature. WH Freeman, San Francisco, 468.
Mikaeili, K., Hosseinzadeh, M.R., Moayyed, M., and Maghfouri, S., 2018. The Shah-Ali-Beiglou Zn-Pb-Cu(-Ag) Deposit, Iran: An Example of Intermediate Sulfidation Epithermal Type Mineralization, Minerals, 8, 148; doi:10.3390/min8040148. https://doi.org/10.3390/min8040148.
Muzy, J.-F., Bacry, E., and Arneodo, A., 1994. The multifractal formalism revisited with wavelets. Int J Bifurc Chaos 4:245–302. https://doi.org/10.1142/S0218127494000204.
Nabatian, G., 2012. Geology, geochemistry and evolution of iron oxide–apatite deposits in the Tarom volcano-plutonic belt, western Alborz. Ph.D. thesis, Tarbiat Modares University, Tehran, Iran. (In Persian).
Nabatian, Gh., and Ghaderi, M., 2013. Oxygen isotope and fluid inclusion study of the Sorkheh-Dizaj iron oxideapatite deposit, NW Iran. International Geology Review. 55(4), 397-410. https://doi.org/10.1080/00206814.2012.713548.
Nabatian, Gh., Ghaderi, M., Corfu, F., Neubauer, F., Bernroider, M., Prokofiev, V., and Honarmand, M., 2014. Geology, alteration, age and origin of iron oxide–apatite deposits in Upper Eocene quartz monzonite, Zanjan district, NW Iran. Mineralium Deposita, 49, 217–234. . https://doi.org/10.1007/s00126-013-0484-1.
Nabatian, Gh., Ghaderi, M., Daliran, F., and Rashidnejhad Omran, N., 2012. Sorkheh-Dizaj Iron Oxide–Apatite Ore Deposit in the Cenozoic Alborz-Azarbaijan Magmatic Belt, NW Iran. Resource Geology. 63 (1), 42–56. https://doi.org/10.1111/rge.12002.
Pourgholam, M. M., Afzal, P., Adib, A., Rahbar, K., and Gholinejad, M., 2023. Fractal-wavelet classifier as a QGIS plugin and python program for geochemical anomalies. In: The Second National Conference of New Technologies in Energy and Materials, Tehran. https://civilica.com/doc/1824524.
Pourgholam, M. M., and Afzal, P., Adib, A., Rahbar, K., and Gholinejad, M., 2024. Recognition of REEs anomalies using an image Fusion fractal-wavelet model in Tarom metallogenic zone, NW Iran. Geochemistry, 126093, ISSN 0009-2819 (https://doi.org/10.1016/j.chemer.2024.126093).
Pourgholam, M.M., Afzal, P., Adib, A., Rahbar, K., and Gholinejad, M., 2022a, Rahmani, S, H., and Mokhtari, A., 2003. Report of the project of exploration of rare earth elements, Geological and Mineral Exploration Organization of Iran (In Persian).
Pourgholam, M.M., Afzal, P., Adib, A., Rahbar, K., and Gholinejad, M., 2022b. Delineation of Iron Alteration Zones using Spectrum-Area Fractal Model and TOPSIS Decision-Making Method in Tarom Metallogenic Zone, NW Iran. Journal of Mining and Environment (JME) 13, 2, 503-525. https://doi.org/10.22044/jme.2022.11574.2105.
Pourgholam, M.M., Afzal, P., Yasrebi, A.B., Gholinejad, M., and Wetherelt, A., 2021. Detection of geochemical anomalies using a fractal-wavelet model in Ipack area, Central Iran. Journal of Geochemical Exploration 220, 106675. . https://doi.org/10.1016/j.gexplo.2020.106675.
Rahmani, Sh., and Mokhtari, A., 2003. Report of the project of exploration of rare earth elements, Geological and Mineral Exploration Organization of Iran (In Persian).
Shahbazi, S., Ghaderi, M., and Afzal, P., 2021. Prognosis of gold mineralization phases by multifractal modeling in the Zehabad epithermal deposit, NW Iran. Iranian Journal of Earth Sciences 13, 31-40. https://doi.org/10.30495/ijes.2021.17301.
Siani, M., Mehrabi, B., Azizi, H., Wilkinson, C.M., and Ganerod, M., 2015. Geochemistry and geochronology of the volcano-plutonic rocks associated with the Glojeh epithermal gold mineralization, NW Iran. Open Geoscience, 7, 207–222. (https://doi.org/10.1515/geo-2015-0017).
Turcotte, D.L., 1997. Fractals and chaos in geology and geophysics. Cambridge University Press, Cambridge Wendt H, Roux SG, Jaffard S, Abry P (2009) Wavelet leaders and bootstrap for multifractal analysis of images. Signal Process 89:1100–1114.
Van Hoesen, J., Menke, K., Smith, R., and Davis, P., 2015. Introduction to Geospatial Technology Using QGIS. https://www.canvas.net/browse/delmarcollege/courses/introduction-to-geospatial-technology-1.
Wang, Q.F., Deng, J., Wan, L., Zhao, J., Gong, Q.J., Yang, L.Q., Zhou, L., and Zhang, Z.J., 2008. Multifractal analysis of the element distribution in skarn-type deposits in Shizishan Orefield in Tongling area, Anhui province, China. Acta Geol Sin 82, 896–905. https://doi.org/10.1111/j.1755-6724.2008.tb00646.x.
Zambelli, P., Gebbert, S., and Ciolli, M., 2013. An object-oriented Python application programming interface (API) for geographic resources analysis support system (GRASS) geographic information system (GIS). ISPRS Int. J. Geo-Inf. 2013, 2, 201–219. [Google Scholar] [CrossRef]. ] https://doi.org/10.3390/ijgi2010201.
Zuo, R., and Wang, J., 2016. Fractal/multifractal modeling of geochemical data: A review. Journal of Geochemical Exploration, 164, pp. 33-41. https://doi.org/10.1016/j.gexplo.2015.04.010.
Zuo, R., Carranza, E.J.M., and Cheng, Q., 2012. Fractal/multifractal modelling of geochemical exploration data. Journal of Geochemical Exploration, 122, pp. 1-3. https://doi.org/10.1016/j.gexplo.2012.09.002.
Zuo, R., Cheng, Q., and Xia, Q., 2009. Application of fractal models to characterization of vertical distribution of geochemical element concentration. J Geochem Explor 102, 37–43.
Zuo, R., 2011. Identifying geochemical anomalies associated with Cu and Pb–Zn skarn mineralization using principal component analysis and spectrum–area fractal modeling in the Gangdese Belt, Tibet, China. Journal of Geochemical Exploration, 111(1-2), pp. 13-22. https://doi.org/10.1016/j.gexplo.2011.06.012.
Zuo, R., Zhang, Z., Zhang, D., Carranza, E.J.M., and Wang, H., 2015. Evaluation of uncertainty in mineral prospectivity mapping due to missing evidence: a case study with skarn-type Fe deposits in Southwestern Fujian Province, China. Ore Geology Reviews, 71, pp. 502-515. https://doi.org/10.1016/j.oregeorev.2014.09.024.