Abstract
This study is an attempt to identify seismic zones utilizing number-size (N-S) and concentration-area (C-A) fractal models in the West Yazd province, Central Iran. The analysis was based on the earthquakes’ magnitude and Quaternary faults’ density. Fault density map was generated and classified by fractal modeling. The result indicates that the main fault densities correlate with Dehshir and Eqlid faults. Furthermore, the areas with relatively large earthquake magnitudes are located in the SE and NE parts of the region. The Quaternary faults’ density and earthquake magnitudes were weighted based on the results of the fractal modeling. Finally, weighted maps were combined and classified to show that Dehshir fault has the main role for seismicity in this area. Comparison between results derived via the fractal modeling and conventional seismic zonation map is satisfactory. Furthermore, fractal modeling approach distinguishes different seismic zones with higher accuracy in smaller areas. For validation of results, earthquakes since 2012 were collected and associated with seismic zones. These earthquakes which are correlated with major seismic zones are mainly located near the Dehshir and main Zagros faults.
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References
Adib A (2016) Site classification using natural frequency base on seismic data and suggestions for application in Iranian building code. Case study Ardakan City. J Earth Space Phys 42(1):75–88
Adib A, Afzal P, Heydarzadeh K (2015) Site effect classification based on microtremor data analysis using concentration-area fractal model. Nonlinear Process Geophys 22:53–63
Adib A, Afzal P, Mirzaei Ilani S, Aliyari F (2017) Determination of the relationship between major fault and zinc mineralization using fractal modeling in the Behabad fault zone, Central Iran. J Afr Earth Sci 134:308–319
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. J Geochem Explor 108:220–232
Afzal P, Fadakar Alghalandis Y, Moarefvand P, Rashidnejad Omran N, 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. J Geochem Explor 112:131–138
Afzal P, Eskandarnejad Tehrani M, Ghaderi M, Hosseini MR (2016) Delineation of supergene enrichment, hypogene and oxidation zones utilizing staged factor analysis and fractal modeling in Takht-e-Gonbad porphyry deposit, SE Iran. J Geochem Explor 161:119–127
Aggarwal SK, Pastén D, Khan PK (2017) Multifractal analysis of 2001 Mw7.7 Bhuj earthquake sequence in Gujarat, Western India. Physica A 488:177–186
Aghanabati A (2004) Geology of Iran, Iranian Geological Survey and Mineral Exploration Publications 586 p. (in Persian)
Agterberg FP (2012) Multi fractals and geostatistics. J Geochem Explor 122:113–122
Alavi M (1991) Tectonic map of the Middle East, 1:5000000, Iranian Geological Survey and Mineral Exploration Publications
Allen M, Jackson J, Walker R (2004) Late Cenozoic reorganization of the Arabia-Eurasia collision and the comparison of short-term and longterm deformation rates. Tectonics 23
Ambraseys N, Jackson A (1998) Faulting associated with historical and recent earthquakes in the eastern Mediterranean region. Geophys J Int 133:390–406
Aviles CA, Scholz CH, Boatwright J (1987) Fractal analysis applied to characteristic segments of the San Andreas fault. J Geophys Res 92:331–344
Bayrak E, Yılmaz Ş, Bayrak Y (2017) Temporal and spatial variations of Gutenberg-Richter parameter and fractal dimension in Western Anatolia, Turkey. J Asian Earth Sci 138:1–11
Berberian M (1976) Contribution to the seismotectonics of Iran (part II). Geol Surv Iran 39 518 pp
Berberian M, King GCP (1981) Towards a paleogeography and tectonic evolution of Iran. Can J Earth Sci 18:210–265
Berberian M, Yeats RS (1999) Patterns of historical earthquake rupture in the Iranian Plateau. Bull Seismol Soc Am 89:120–139
Berberian M, Yeats R (2001) Contribution of archeolo gical data of earthquake history in the Iranian Plateau. J Struct Geol 23:563–584
Bonilla MG, Mark RK, Lienkaemper JJ (1984) Statistical relations among earthquake magnitude, surface rupture length and surface fault displacement. Bull Seismol Soc Am 74(6):2379–2411
Cheng Q (1999) Spatial and scaling modelling for geochemical anomaly separation, J Geochem Explor 65 (3), p. 175–194
Cheng Q, Agterberg FP, Ballantyne SB (1994) The separation of geochemical anomalies from background by fractal methods. J Geochem Explor 51:109–130
Dimri VP (2005) Fractal behavior of the earth system, Springer, 208 p
Fattahi M, Nazari H, Bateman MD, Meyer B, Sébrier M, Talebian M, Le Dortz K, Foroutan M, Ahmadi Givi F, Ghorashi M (2010) Refining the OSL age of the last earthquake on the Dheshir fault, Central Iran. Quat Geochronol 5(2–3):286–292
Gardner J, Knopoff L (1974) Is the sequence of earthquakes in Southern California, with aftershock removed, Poissonian? Bull Seismol Soc Am 64:1363–1446
Ghomashi A, Haddadan M, Sabzehei M (1997) Dehshir 1:100000, Geological map, Geological Survey of Iran
Ghomashi A, Kholghi Khasraghi MH, Mirtohidi I (2003) Abadeh 1:100000 Geological map, Geological Survey of Iran
Haghipour A, Aghanabati A (1985) Geological map of Iran, 1:2,500,000, Geological Survey of Iran
Hessami KH, Jamali F, Tabassi H (2003) Major active faults of Iran, International institute of earthquake engineering and seismology
Hirata T (1989) Fractal dimension of fault systems in Japan: fractal structure in rock fracture geometry at various scales. Pure Appl Geophys 131:157–170
Houshmandzadeh A, Hamdi B, Soheili M, Ohanian AT, Aghanabati A, Sahandi R, Taraz H, Azarm F (1990) Eqlid 1:250000 Geological map, Geological Survey of Iran
IIEES (2015) International Institute of Earthquake Engineering and Seismology, From http://www.iiees.ac.ir/en/eqcatalog/
ISC (2017) International Seismological Centre, From http://www.isc.ac.uk/iscbulletin/
Jackson J, Mckenzie D (1984) Active tectonics of the Alpine Himalayan Belt between western Turkey and Pakistan. Geophys J R Astron Soc 77:185–264
Jackson J, Mckenzie D (1988) The relationship between plate motions and seismic moment tensors, and the rates of active deformation in the Mediterranian and Middle East. Geophys J 93:45–73
Jackson J, Bouchon M, Fielding E, Funning G, Ghorashi M, Hatzfeld D, Nazari H, Parsons B, Priestley K, Talebian M, Tatar M, Walker R, Wright T (2006) Seismotectonic, rupture process and earthquake hazard aspects of the 2003 December 26 Bam, Iran, earthquake. Geophys J Int 166:1270–1292
Karami K, 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. Iran J Earth Sci 77:134–141
Kargaran Bafghi F, Franz Neubauer F, Genser J, Faghih A, Kusky T (2012) Mesozoic to Eocene ductile deformation of western Central Iran: from Cimmerian collisional orogeny to Eocene exhumation. Tectonophysics 564–565:83–100
Kijko A, Sellevoll MA (1989) Estimation of earthquake hazard parameters from incomplete data file, part I. Utilization of extreme and complete catalogs with different threshold magnitudes. Bull Seismol Soc Am 79(3):645–654
Kijko A, Sellevoll MA (1992) Estimation of earthquake hazard parameters from incomplete data file part II. Incorporation of magnitude heterogeneity. Bull Seismol Soc Am 82(1):120–134
Li C, Ma T, Shi J (2003) Application of a fractal method relating concentrations and distances for separation of geochemical anomalies from background. J Geochem Explor 77:167–175
Mandelbrot BB (1983) The fractal geometry of nature. Freeman, San Fransisco 468 p
Meyer B, Le Dortz K (2007) Strike-slip kinematics in central and eastern Iran: estimating fault slip-rates averaged over the Holocene. Tectonics 26
Meyer B, Mouthereau F, Lacombe O, Agard P (2006) Evidence of quaternary activity along the Deshir fault: implication for the tertiary tectonics of Central Iran. Geophys J Int 164:192–201
Mohajjel M, Rasoli A (2014) Structural evidence for superposition of transtension on transpression in the Zagros collision zone: main recent fault, Piranshahr area, NW Iran. J Struct Geol 62:65–79
Mohammadi H, Bayliss TJ, Nekouei Ghachkanlu E (2017) Seismogenesis and earthquake triggering during the 2010–2011 Rigan (Iran) earthquake sequence. J Afr Earth Sci 126:84–95
Moinfar AA, Naderzadeh A, Nabavi MH (2012) New Iranian seismic hazard zoning map for new edition edition of seismic code and its comparison with neighbor countries, 15 WCEE LISBOA 2012
Mouthereau F, Lacombe O, Meyer B (2006) The Zagros Folded Belt (Fars, Iran): constraints from topography and critical wedge modelling. Geophys J Int 165:336–356. https://doi.org/10.1111/j.1365-246X.2006.02855.x
Muto J, Nakatani T, Nishikawa O, Nagahama H (2015) Fractal particle size distribution of pulverized fault rocks as a function of distance from the fault core. Gephys Res Lett 42:3811–3819
Nadimi A, Konon A (2012) Strike-slip faulting in the central part of the Sanandaj-Sirjan Zone, Zagros Orogen, Iran. J Struct Geol 40:2–16
Nampally S, Padhy S, Dimri VP (2018) Characterizing spatial heterogeneity based on the b-value and fractal analyses of the 2015 Nepal earthquake sequence. Tectonophysics 722:154–162
Nazari H, Fattahi M, Meyer B, Sébrier M, Talebian M, Foroutan M, Le Dortz K, Bateman MD and Ghorashi M (2009) First evidence for large earthquakes on the Deshir Fault, Central Iran Plateau, Terra Nova, 21, 417–426
Nogol Sadat MA and Almasian M (1993) Tectonic map of Iran, Geological Survey of Iran
Nowroozi AA (1985) Empirical relations between magnitudes and fault parameters for earthquakes in Iran. Bull Seismol Soc Am 75:1327–1338
Oveisi B, Lavé J, Van Der Beek P, Carcaillet J, Benedetti L, Braucher R, Aubourg CH (2008) Thick- and thin-skinned deformation rates in the central Zagros simple folded zone (Iran) indicated by displacement of geomorphic surfaces. Geophys J Int 176:627–654
Power WL, Tullis TE, Brown SR, Boitnott GN, Scholz CH (1987) Roughnes of natural fauit surface. Geophys Res Lett 14(1):29–32
Reiter L (1990) Earthquake hazard analysis. Colombia University Press, New York 254pp
Sadeghi B, Moarefvand P, Afzal P, Yasrebi AB, Daneshvar Saein L (2012) Application of fractal models to outline mineralized zones in the Zaghia iron ore deposit, Central Iran. J Geochem Explor 122:9–19
Scholz C (1982) Scaling laws for large earthquakes: consequences for physical models. Bull Seismol Soc Am 72:1–14
Shafai Moghadam H, Whitechurch H, Rahgoshay M, Monsef I (2009) Significance of Nain-Baft ophiolitic belt (Iran): short-lived, transtensional cretaceous back-arc oceanic basins over the Tethyan subduction zone. Compt Rendus Geosci 341(12):1016–1028
Sim BL, Agterberg FP, Beaudry C (1999) Determining the cutoff between background and relative base metal contamination levels using multifractal methods. Comput Geosci 25:1023–1041
Slemmons DB (1982) Determination of design earthquake magnitudes for microzonation, Proc. of the Third International Earthquake Microzonation Conf., vol. 1. U.S. National Science Foundation, Washington, D.C., pp 119–130
Sornette A, Davy P, Sornette D (1990) Growth of fractal fault patterns. Phys Rev Lett 65:22–66
Talebian M, Jackson J (2004) A reappraisal of earthquake focal mechanisms and active shortening in the Zagrosmountains of Iran. Geophys J Int 156:506–526
Tatar M, Hatzfeld D, Martinod J, Walpersdorf A, Ghafory-Ashtiyani M, Chery J (2002) The present-day deformation of the central Zagros from GPS measurements. Geophys Res Lett 29:331–334
Tatar M, Hatzfeld D, Ghafory-Ashtiyani M (2004) Tectonics of the Central Zagros (Iran) deduced from microearthquake seismicity. Geophys J Int 156:255–266
Turcotte DL (1986) A fractal approach to the relationship between ore grade and tonnage. Econ Geol 18:1525–1532
Turcotte DL (1997) Fractals and chaos in geology and geophysics. Cambridge University Press, Cambridge
Vernant PH, Nilforoushan F, Hatzfeld D, Abassi MR, Vigny C, Masson F, Nankali H, Martinod A, Ashtiani A, Bayer R, Tavakoli F, Chery J (2004) Present-day crustal deformation and plate kinematics in the Middle East constrained by GPS measurements in Iran and Northern Oman. Geophys J Int 157:381–398
Walker RT (2006) A remote sensing study of active folding and faulting in southern Kerman Province, S.E. Iran. J Struct Geol 28:654–668
Walker R, Jackson J (2004) Active tectonics and late Cenozoic strain distribution in central and eastern Iran, Bullard Laboratories, Department of Earth Sciences,University of Cambridge, UK
Walpersdorf A, Hatzfeld D, Nankali H, Tavakoli F, Nilforoushan F, Tatar M, Vernant P, Chéry J, Masson F (2006) Difference in the GPS deformation pattern of North and Central Zagros (Iran). Geophys J Int 167:1077–1088
Wells DL, Coppersmith KJ (1994) New empirical relationships among magnitude, rupture length, rupture width and surface displacements. Bull Seismol Soc Am 84:974–1002
Zare M (1995) Site dependent attenuation of strong ground motions in Iran; Seismic Zonation, 5th International Conference. Proceeding, vol. 2, pp 1221–1227
Zuo R, Cheng Q, Xia Q, Agterberg F (2009) Application of fractal models to distinguish between different mineral phases. Math Geosci 41:71–80
Acknowledgments
This paper was extracted from a research project titled “Seismic Microzonation of the Yazd Provence base on the Fractal and Monte Carlo simulation” with the support of the Islamic Azad University, South Tehran branch. In addition, the authors would like to thank the editor and reviewers of this paper for their valuable comments and remarks.
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This study is financially supported by the Research Deputy of Azad University, South Tehran branch.
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Afzal, P., Adib, A. & Ebadati, N. Delineation of seismic zonation using fractal modeling in West Yazd province, Central Iran. J Seismol 22, 1377–1393 (2018). https://doi.org/10.1007/s10950-018-9770-9
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DOI: https://doi.org/10.1007/s10950-018-9770-9