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Seismic source characteristics in Kachchh and Saurashtra regions of Western India: b-value and fractal dimension mapping of aftershock sequences

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Abstract

Seismic source characteristics in the Kachchh rift basin and Saurashtra horst tectonic blocks in the stable continental region (SCR) of western peninsular India are studied using the earthquake catalog data for the period 2006–2011 recorded by a 52-station broadband seismic network known as Gujarat State Network (GSNet) running by Institute of Seismological Research (ISR), Gujarat. These data are mainly the aftershock sequences of three mainshocks, the 2001 Bhuj earthquake (M w 7.7) in the Kachchh rift basin, and the 2007 and 2011 Talala earthquakes (M w ≥ 5.0) in the Saurashtra horst. Two important seismological parameters, the frequency–magnitude relation (b-value) and the fractal correlation dimension (D c) of the hypocenters, are estimated. The b-value and the D c maps indicate a difference in seismic characteristics of these two tectonic regions. The average b-value in Kachchh region is 1.2 ± 0.05 and that in the Saurashtra region 0.7 ± 0.04. The average D c in Kachchh is 2.64 ± 0.01 and in Saurashtra 2.46 ± 0.01. The hypocenters in Kachchh rift basin cluster at a depth range 20–35 km and that in Saurashtra at 5–10 km. The b-value and D c cross sections image the seismogenic structures that shed new light on seismotectonics of these two tectonic regions. The mainshock sources at depth are identified as lower b-value or stressed zones at the fault end. Crustal heterogeneities are well reflected in the maps as well as in the cross sections. We also find a positive correlation between b- and D c-values in both the tectonic regions.

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References

  • Aki K (1965) Maximum likelihood estimate of b in the formula log N = a−b M and its confidence limits. Bull Earth Res Inst Univ Tokyo 43:237–239

    Google Scholar 

  • Aki K (1981) A probabilistic synthesis of precursory phenomena, in earthquake prediction. In: Simpson DW, Richards PG (eds) An international review, Maurice Ewing Set, vol 4. AGU, Washington, pp 566–574

    Google Scholar 

  • Anderson RN, Hasegawa A, Umeno N, Takagi A (1980) Phase changes and frequency magnitude distribution in the upper plate of deep seismic beneath Tohoku, Japan. J Geophys Res 85:1389–1398

    Article  Google Scholar 

  • Bender B (1983) Maximum likelihood estimation of b-values for magnitude grouped data. Bull Seismol Soc Am 73:831–851

    Google Scholar 

  • Bhattacharya SN, Karanth RV, Dattatrayam RS, Sohoni PS (2004) Earthquake sequence in and around Bhavnagar, Saurashtra, western India during August–December 2000 and associated tectonic features. Curr Sci 86:1165–1170

    Google Scholar 

  • BIS (2004) Seismic zoning map of India. Bureau Indian Standard (BIS), New Delhi

    Google Scholar 

  • Biswas SK (1987) Regional framework, structure and evaluation of the western marginal basins of India. Tectonophysics 135:307–327

    Article  Google Scholar 

  • Biswas SK (2005) A review of structure and tectonics of Kutch Basin, western India with special reference to earthquakes. Curr Sci 88:1592–1600

    Google Scholar 

  • Bridges DL, Gao SS (2006) Spatial variation of seismic b-values beneath Makushin Volcano, Unalaska Island, Alaska. Earth Planet Sci Lett 245:408–415

    Article  Google Scholar 

  • Chandra R (1995) Geochemistry and petrogenesis of layered sequence in Girnar ijolitic series (GIS), India: The role of differentiation and allied factors. In: Srivastava RK, Chandra R (eds) Magmatism in Relation to Diverse Tectonic Settings. Oxford and IBH, New Delhi

    Google Scholar 

  • Chandrasekhar DV, Singh B, Firozishah Md, Mishra DC (2005) Analysis of Gravity and Magnetic anomalies of Kachchh rift basin, India and its comparison with New Madrid seismic zone, USA. Curr Sci 8:1601–1608

    Google Scholar 

  • Chandrasekhar E, Mathew G, Harinarayana T (2012) A new hypothesis for the deep subsurface structures near Bhuj 2001 earthquake (M w 7.6) hypocenter zone and tectonic implications. Geophys J Int 190:761–768

    Article  Google Scholar 

  • Chen CC,  Wang WC, Chang YF,  Wu YM,  Lee YH (2006) A correlation between b-value and fractal dimension from aftershock sequence of the 1999 Chi–Chi Taiwan earthquake. Geophys J Int 167:1215–1219

    Google Scholar 

  • Dimri VP, Vedanti N, Chattopadhyay S (2005) Fractal analysis of aftershock sequence of the Bhuj earthquake: a wavelet-based approach. Curr Sci 88:1617–1620

    Google Scholar 

  • Gangopadhyay A, Talwani P (2003) Symptomatic features of intraplate earthquakes. Seismol Res Lett 74:863–883

    Google Scholar 

  • Gerstenberger M, Wiemer S, Giardini D (2001) A systematic test of the hypothesis that the b-value varies with depth in California. Geophys Res Lett 28:57–60

    Article  Google Scholar 

  • Grassberger P, Procaccia I (1983) Characterization of strange attractors. Phys Rev Lett 50:346–349

    Article  Google Scholar 

  • GSI (2003) Kutch (Bhuj) Earthquake 26 January, 2001. In: Pande P, Kayal JR (eds) Geol Surv India, Spl Pub, 76, 282 p

  • Guo Z, Ogata Y (1995) Correlations between characteristic parameters of aftershock distributions in time space and magnitude. Geophys Res Lett 22:993–996

    Google Scholar 

  • Gupta HK, Rastogi BK (1976) Dams and earthquakes. Elsevier, Amsterdam

    Google Scholar 

  • Gutenberg B, Richter CF (1944) Frequency of earthquakes in California. Bull Seismol Soc Am 34:185–188

    Google Scholar 

  • Gutenberg B, Richter CF (1954) Seismicity of the earth and associated phenomena, 2nd edn. Princeton Press, Princeton

    Google Scholar 

  • Hirata T (1989) A correlation between the b value and the fractal dimension of earthquakes. J Geophys Res 94:7507–7514

    Article  Google Scholar 

  • Ishimoto M, Iida K (1939) Observations of earthquakes registered with the microseismograph constructed recently. Bull Earthq Res Inst 17:443–478

    Google Scholar 

  • Kagan YY (1991) Fractal dimension of brittle fracture. J Nonlinear Sci 1:1–16

    Google Scholar 

  • Kagan YY, Knopoff L (1978) Statistical study of the occurrence of shallow earthquakes. Geophys J R Astron Soc 55:67–86

    Article  Google Scholar 

  • Kagan YY, Knopoff L (1980) Spatial distribution of earthquakes: the two point correlation function. Geophys J R Astron Soc 62:303–320

    Article  Google Scholar 

  • Kayal JR (2008) Microearthquake seismology and seismotectonics of South Asia. Springer, Germany

    Google Scholar 

  • Kayal JR, De R, Sagina R, Srirama BV, Gaonkar SG (2002a) Aftershocks of the 26 January, 2001 Bhuj earthquake in western India and its seismotectonic implications. J Geol Soc Ind 59:395–417

    Google Scholar 

  • Kayal JR, Zhao D, Mishra OP, De R, Singh OP (2002b) The 2001 Bhuj earthquake: tomographic evidence for fluids at the hypocenter and its implications for rupture nucleation. Geophys Res Lett 29:2152

    Article  Google Scholar 

  • Kayal JR, Das V, Ghosh U (2012) An appraisal of the 2001 Bhuj Earthquake (Mw 7.7, India) source zone: fractal dimension and b-value mapping of the aftershock sequence. Pure Appl Geophys 169:2127–2138

    Google Scholar 

  • Khattri KN (1995) Fractal description of seismicity of India and inferences regarding earthquake hazard. Curr Sci 69:361–366

    Google Scholar 

  • King G (1983) The accommodation of large strains in the upper lithosphere of the earth and other solids by selfsimilar fault systems: The geometrical origin of b value. Pure Appl Geophys 121:761–815

    Google Scholar 

  • Kumar N, Yadav DK, Mondal SK, Roy PNS (2013) Stress drop and its relation to tectonic and structural elements for the meizoseismal region of great 1905 Kangra earthquake of the NW Himalaya. Nat Hazards. doi:10.1007/s11069-013-0793-9

    Google Scholar 

  • Lee WHK, Lahr JC (1975) HYPO71 (revised): a computer program for determining hypocenter magnitude and first motion pattern of local earthquakes. USGS Open-File Rep 116:75–311

    Google Scholar 

  • Mandal P (2012) Seismogenesis of the uninterrupted occurrence of the aftershock activity in the 2001 Bhuj earthquake zone, Gujarat, India, during 2001–2010. Nat Hazards 65:1063–1083

    Google Scholar 

  • Mandal P, Rastogi BK (2005) Self-organized fractal seismicity and b-value of aftershocks of the 2001 Bhuj earthquake in Kutch (India). Pure Appl Geophys 162:53–72

    Article  Google Scholar 

  • Mandal P, Rastogi BK, Satyanarayana HVS, Kousalya M, Vijayraghavan R, Satyamurty C, Raju IP, Sarma ANS, Kumar N (2004a) Characterization of the causative fault system for the 2001 Bhuj aftershocks of Mw 7.7. Tectonophysics 378:105–121

  • Mandal P, Rastogi BK, Satyanarayana HVS, Kousalya M (2004b) Results from local earthquake velocity Tomography: implications toward the source process involved in generating the 2001 Bhuj earthquake in the lower crust beneath Kachchh (India). Bull Seismol Soc Am 94:633–649

    Article  Google Scholar 

  • Mandal P, Chadha RK, Raju IP, Kumar N, Satyamurty C, Narsaiah R, Maji A (2007) Coulomb static stress variations in the Kachchh Gujarat, India; Implications for the occurrences of two recent earthquakes (Mw = 5.6) in the 2001 Bhuj earthquake region. Geophys J Int 169:281–285

    Article  Google Scholar 

  • Merh SS (1995) Geology of Gujarat. Geol Soc Ind, pp 222

  • Mishra OP, Zhao D (2003) Crack density saturation rate and porosity at the 2001 Bhuj, India, earthquake hypocenter: a fluid driven earthquake?. Earth Planet Sci Lett 212:393–405

    Google Scholar 

  • Mogi K (1962) Magnitude-frequency relation for elastic shocks accompanying fractures of various materials and some related problems in earthquakes. Bull Earth Res Inst Univ Tokyo 40:831–853

    Google Scholar 

  • Monterroso D, Kulhanek O (2003) Spatial variations of b-values in the subduction zone of Central America. Geofisica Int 42:1–13

    Google Scholar 

  • Naini BR, Kolla V (1982) Tectonics and sedimentation along the continental margin of western India, Pakistan and adjacent Arabian Sea. Am As Petrol Geol Bull 66:611 (Abstract)

    Google Scholar 

  • Nanjo K, Nagahama H (2000) Spatial distribution of aftershock and fractal structure of active fault systems. Pure Appl Geophys 157:575–588

    Article  Google Scholar 

  • Pande P (2013) Geoseismological investigation of the January 26, 2001 Bhuj earthquake in western peninsular India. Nat Hazards 65:1045–1062

    Article  Google Scholar 

  • Paul DK, Potts PJ, Rex DC, Beckinsale RD (1977) Geochemical and petrogenetic study of the Girnar igneous complex, Deccan volcanic province, India. Bull Geol Soc Am 88:227–234

    Article  Google Scholar 

  • Rajendran K, Rajendran CP (1999) Seismogenesis in the stable continental interiors: an appraisal based on two examples from India. Tectonophysics 305:355–370

    Article  Google Scholar 

  • Rajendran CP, Rajendran K (2001) Characteristics of deformation and past seismicity associated with the the 1819 Kutch earthquake, Northwestern India. Bull Seismol Soc Am 91:407–426

    Google Scholar 

  • Rajendran K, Rajendran CP, Thakkar M, Tuttle MP (2001) The 2001 Kutch (Bhuj) earthquake: coseismic surface features and their significance. Curr Sci 80:1397–1405

    Google Scholar 

  • Ram A, Roy PNS (2005) Fractal dimensions of blocks using a box-counting technique for the 2001 Bhuj earthquake, Gujarat, India. Pure Appl Geophys 162:531–548

    Article  Google Scholar 

  • Ramasamy SM (1995) Deformation tectonics of Deccan volcanics of southern Saurashtra, India and its relation to western extension of Narmada lineament. In: Srivastava RK, Chandra R (eds) Magmatism related to diverse tectonic settings. Oxford and IBH Pub. Co., New Delhi

    Google Scholar 

  • Rao BR (2000) Historical seismicity and deformation rates in Indian Peninsular Shields. J Seismol 4:247–258

    Article  Google Scholar 

  • Rao BR, Rao PS (1984) Historical seismicity of peninsular India. Bull Seismol Soc Am 74:2519–2533

    Google Scholar 

  • Rastogi BK, Chopra S, Gadhvi MS, Patel H, Aggarwal S, Sairam B, Gupta AK, Chauhan M., Bhatt KM (2008) Investigation of magnitude 5.0 Talala earthquake of November 6, 2007 in Junagadh District. Technical Report ISR-2008-11

  • Roy PNS, Nath SK (2007) Precursory correlation dimensions for three great earthquakes. Curr Sci 93(11):1522–1529

    Google Scholar 

  • Roy PNS, Ram A (2006) A correlation integral approach to the study of 26 January 2001 Bhuj earthquake, Gujarat India. J Geodyn 41:385–399

    Article  Google Scholar 

  • Sadovskiy MA, Golubeva TV, Pisarenko VF, Shnirman MG (1984) Characteristic dimensions of rock and hierarchical properties of seismicity. Izv Acad Sci USSR Phys Solid Earth 20:87–96

    Google Scholar 

  • Scholz CH (1968) The frequency-magnitude relation of microfracturing in rock and its relation to earthquakes. Bull Seismol Soc Am 58:399–415

    Google Scholar 

  • Schorlemmer D, Wiemer S, Wyss M (2005) Variations in earthquake-size distribution across different stress regimes. Nature 437:539–542

    Google Scholar 

  • Seth HC, Choudhary AK, Cucciniello C, Bhattacharyya S, Laishramb R, Gurav T (2012) Geology, petrochemistry, and genesis of the bimodal lavas of Osham Hill, Saurashtra, northwestern Deccan Traps. J Asian Earth Sci 43(1):176–192

    Article  Google Scholar 

  • Shi Y, Bolt BA (1982) The standard error of the magnitude-frequency b value. Bull Seismol Soc Am 72:1677–1687

    Google Scholar 

  • Singh AP (2013) Three dimensional seismic structure and Seismotectonics of Kachchh, Gujarat, India: implications for seismic Hazard. Ph.D. thesis, Department of Geophysics, Kurukshetra University, Haryana, India, pp 187

  • Singh AP, Mishra OP, Rastogi BK, Kumar D (2011) 3-D seismic structure of the Kachchh, Gujarat and its implications for the earthquake hazard mitigation. Nat Hazards 57:83–105

    Article  Google Scholar 

  • Singh AP, Mishra OP, Kumar D, Kumar S, Yadav RBS (2012) Spatial variation of the aftershock activity across the Kachchh Rift Basin and its seismotectonic implications. J Earth Syst Sci 121:439–451

    Article  Google Scholar 

  • Singh AP, Mishra OP, Rastogi BK, Kumar S (2013) Crustal heterogeneities beneath the 2011 Talala, Saurashtra earthquake, Gujarat, India source zone: seismological evidence for neo-tectonics. J Asian Earth Sci 62:672–684

    Article  Google Scholar 

  • Talwani P, Gangopadhyay A (2001) Tectonic framework of the Kachchh earthquake of 26 January 2001. Seismol Res Lett 72:336–345

    Google Scholar 

  • Turcotte DL (1986) A fractal model for crustal deformation. Tectonophys 132:261–269

    Google Scholar 

  • Urbancic TI, Trifu CI, Long JM, Young RP (1992) Space-time correlations of b-values with stress release. Pure Appl Geophys 139:449–462

    Article  Google Scholar 

  • Utsu T (1965) A method for determining the value of b in a formula log N (M) = a − b M showing the magnitude frequency for earthquakes. Geophys Bull Hokkaido Univ 13:99–103

    Google Scholar 

  • Veeraswamy KM, Azeez KKA, Mohan K, Gupta AK, Devi S, Harinarayana T, Rastogi BK (2013) Electrical conductivity structure beneath the Wagad uplift inferred from magnetotellurics, International Symposium on Advances in Earthquake Sciences, AES-2013 at the Institute of Seismological Research, Gandhinagar, Gujarat, India 1–2 February, 2013, pp 58

  • Wiemer S (2001) A software package to analyze seismicity ZMAP. Seismol Res Lett 72:373–382

    Article  Google Scholar 

  • Wiemer S, Benoit J (1996) Mapping the b value anomaly at 100 km depth in the Alaska and New Zealand subduction zones. Geophys Res Lett 23:1557–1560

    Article  Google Scholar 

  • Wiemer S, Wyss M (1997) Mapping the frequency-magnitude distribution in asperities: an improved technique to calculate recurrence times? J Geophys Res 102:15115–15128

    Article  Google Scholar 

  • Wiemer S, Wyss M (2002) Mapping spatial variability of the frequency-magnitude distribution of earthquakes. Adv Geophys 45:259–302

    Article  Google Scholar 

  • Wyss M (1973) Towards a physical understanding of the earthquake frequency distribution. Geophys J R Astron Soc 31:341–359

    Article  Google Scholar 

  • Wyss M, Pacchiani F, Deschamps A, Patau G (2008) Mean magnitude variations of earthquakes as a function of depth: different crustal stress distribution depending on tectonic setting. Geophys Res Lett 35:L01307. doi:10.1029/2007GL031057

    Article  Google Scholar 

  • Wyss M, Sammis CG, Nadeau RM, Wiemer S (2004) Fractal dimension and b–value on creeping and locked patches of the San-Andreas fault near Parkfield, California. Bull Seismol Soc Am 94:410–421

    Google Scholar 

  • Yadav RBS, Papadimitriou EE, Karakostas VG, Shanker D, Rastogi BK, Chopra S, Singh AP, Kumar S (2011) The 2007 Talala, Saurashtra, Western India earthquake sequence: tectonic implications and seismicity triggering. J Asian Earth Sci 40:303–314

    Google Scholar 

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Acknowledgments

We sincerely acknowledge Dr. B. K. Rastogi, Director General, Institute of Seismological Research (ISR), Gujarat, for his encouragement, support and kind permission to publish this work. The author IGR extends gratefulness to the Director General for his kind invitation to the ISR as a Visiting Fellow and for providing necessary support and hospitality during his stay at the institute.

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Singh, A.P., Roy, I.G., Kumar, S. et al. Seismic source characteristics in Kachchh and Saurashtra regions of Western India: b-value and fractal dimension mapping of aftershock sequences. Nat Hazards 77 (Suppl 1), 33–49 (2015). https://doi.org/10.1007/s11069-013-1005-3

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