Fractal dimension and earthquake frequency-magnitude distribution in the North of Central-East Iran Blocks (NCEIB)

Document Type : Research Paper


1 Department of Geology, Faculty of Earth Sciences, University of Birjand, Birjand, Iran

2 Research institute for Earth sciences, Geological Survey of Iran


The Gutenberg–Richter parameters (a and b), fractal dimension (DC), and relationships between these parameters are calculated for different regions of the North of Central-East Iran Blocks (NCEIB). The whole examined area (between 34°-36° N and 55°-61° E) is divided into 55 equal square grids. Both the a and b values for the frequency-magnitude distribution (FMD) and the fractal dimension (DC) are investigated simultaneously from 55 equal square grids. By using the completeness earthquake dataset for earthquakes of the instrumental period from 1976 to 2015, it is concluded that calculated values of a, b and DC imply variations of seismotectonic stress.The most vulnerable regions for occurrence of the large earthquakes in the NCEIB considering the computed lowest b-values and the highest DC -values. The relationships among DC -b and DC - (a/b) are used to classify the level of earthquake hazards for individual seismic source zones, in which the calibration curves illustrate a positive correlation among the DC and b values and also a positive
correlation among the DC and a/b ratios having similar regression coefficients (R2 = 0.80 to 0.87) for both regressions. It is observed that the relationship among a/b and DC may be used for evaluation of seismicity and earthquake hazard assessment because of the high value for correlation coefficients and limited scattering of the calculated parameters


Article Title [Persian]

توزیع پارامترهای بزرگا-فراوانی وبعد فرکتال زلزله ها در شمال بلوک های ایران مرکزی وخاور ایران

Authors [Persian]

  • ناصر قیاص آبادی 1
  • محمد مهدی خطیب 1
  • حمید نظری 2
  • محمد رضا هیهات 1
Abstract [Persian]

پارامترهای گوتنبرگ-ریشتر (aو b)، بعد فرکتال (DC)، و روابط بین این پارامترها برای مناطق مختلف شمال بلوک های ایران مرکزی و خاور ایران (NCEIB). با استفاده از مجموعه داده کامل زلزله ببین دوره زمانی 1976-2015محاسبه شده است، مقادیر محاسبه شده از پارامترهایa، b و DC دلالت برتغییرات تنش لرزه ای در منطقه دارد. براین اساس مناطق آسیب پذیر برای وقوع زمین لرزه های بزرگ در NCEIB با توجه به مناطقی با کمترین ارزش b وبیشترین مقدار ​​DC مشخص شده است. ازروابط بین b- DC ،DC و (a / b) برای طبقه بندی سطح خطرات زلزله برای مناطق چشمه لرزه استفاده شده است، که در آن منحنی های کالیبراسیون نشان همبستگی مثبت میان ارزش DC و b و همچنین همبستگی مثبت میان DC و یک نسبت a/ b براساس ضرایب رگرسیون مشابه (R2 = 0.80-0.87) برای هر دو رگرسیون دارد. مشاهدات نشان می دهد که روابط a / b و DC می تواند برای ارزیابی لرزه خیزی و خطر زلزله در منطقه به دلیل ارزش بالا برای ضریب همبستگی و پراکندگی محدودی از پارامترهای محاسبه استفاده شود.

Keywords [Persian]

  • لرزه خیزی
  • پارامترهای توزیع بزرگا-فراوانی
  • بعد فراکتال زمین لرزه ای
  • شمال بلوک های ایران مرکزی
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