Received 28 November 2015; accepted 25 January 2016; published 28 January 2016
For most seismologists, large earthquakes are interesting not only because of the effects caused but also because of their size. From seismological point of view, some of earthquake parameters such as magnitude, source time function, focal mechanism and seismic moment are more important than the others.
Among of the mentioned parameter, source time function includes information regarding an earthquake’s rupture length and rupture velocity, characteristics that can be determined through rupture directivity analysis based on the finiteness source theory   . Improved seismic data and computer facilities have made significant progress in computational techniques. Harvard CMT solutions and NEIC fast moment tensors   and repeatable procedures to determine earthquake source parameters such as Boxer  are examples of these new procedures. However, pulse width of the source time function at each station needs to be taken as a particular constant in the moment tensor inversion method to solve for the optimal fault plane solution of an earthquake.
Several researchers have been investigated of dependency in source time function, focal mechanism and rupture directivity  -  classical body-wave (P and/or SH) point-source.
Approaches  -  , impose that the source time function is the same at all stations. This assumption is reasonable for moderate earthquakes, at least if high frequency waves are discarded, but becomes increasingly invalid as the magnitude and source dimension increase; extended source effects cause the STFs to be dependent on the recording station  .
The iterative approach  and slip patch method  for source complexity in the definition of the focal mechanism are available respectively. The present study aims to focus on determination of source time function and focal mechanism of Ahar-Varzaghan earthquake (11 August 2012, at 12:23:18 (UTC), Mw = 6.5) in North- West Iran.
Using the onset times of 599 stations, the epicenter of mainshock was computed as 38.32N-46.82E by ISC. The magnitude of the mainshock, given by ISC, was Mw = 6.5, and focal depth determination indicated a focal depth of 12 kilometers. The shock was felt in many parts of northwestern Iran, including Ahar, Varzaghan Maragheh, Marand and Meshgin Shahr. The mainshock was followed by many aftershocks. The Ahar-Varzaghan earthquake is the one of the rare earthquakes with magnitude greater than 6 in Tabriz. According to the Geological Survey of Iran at least 306 people killed, 3000 injured, 4 villages destroyed and 60 heavily damaged in the epicentral area. Some buildings damaged at Tabriz. Power outages occurred and communications were disrupted. The instrumentally located earthquakes and the mechanism of strong earthquakes are also given in Figure 1. This paper uses the result of field reports and analyzes the source complexity of mainshock by the inversion of far-field data collected by the data management center of the incorporated research institutions for seismology.
Figure 1. The epicenter of main shock and instumentally located earthquakes as well as mechanism of strong earth- quakes given by USGS and HRV.
The main goal of this study is to obtain how far the rupture propagation was related to the strong ground motion distribution.
2. Background Seismicity and Activating Fault System
Historical seismicity of Iran has been studied by  . This study suggests that the region has experienced many destructive earthquakes in historical time. Most of the destructive earthquakes have occurred either in the North Tabriz fault with NW-SE trend. The epicenter of these events across a range macroseismic with a focus on earthquake-prone rural population (Figure 2) is located  , and, therefore, more than 150 villages were damaged from 20 to 100 percent. Figure 3 Map focal mechanisms in North West Iran Harvard CMT recorded by the site can be seen that most of the reverse and strike-slip faulting in this area. Based on studies performed by  Main earthquakes in northwest Iran, a small focal depth (15 - 8 km) show overall plateau deformation of Azerbaijan by the Arabian plate is moving North. A recent study, based on global positioning system  , indicates that northwest Iran is a convergent strike-slip deformation. Due to the earthquake in 2012 Ahar Varzeghan seems essential characteristics of the earthquake source. In this study, using modeling waveform parameters such as earthquake source, seismic moment, moment magnitude, and earthquake mechanism are examined.
3. Source Parameters of Mainshock
Using the inversion technique developed by Kikuchi the body waves of Ahar-varzaghan earthquake recorded by GDSN stations were inverted to their sources to investigate the source mechanism. The P waveforms of 30 stations with epicentral distances between 30 and 100 degrees were used for this study  . The locations of selected seismic stations are given in Table 1. The records with duration of 60 seconds were inverted with a sampling interval of 1.0 second. Both the observed and synthetic Green’s functions for all the stations were equalized to GDSN seismograms with the same gain  . In calculating the synthetic wavelet for a point dislocation we used the Jeffreys-Bullen A model  . First, a source time function of trapezoid shape having rise time of 3 seconds and process time of 20 seconds was best fitted. Then, with the fixed source time function, the data was inverted for several source depths. The residual error was minimized for the depth of 5 - 15 kilometers. This
Figure 2. Seismicity map of the North West of Iran.
Figure 3. The mechanism of earthquakes Mw < 5.5 northwestern Iran, from Harvard CMT.
Table 1. The seismic station code, azimuth, backazimuth,and epicentral distance of stations used in this study.
suggested that the centroid depth was not deeper than 15 km. In next stage, by a point source approximation, we obtained the mechanism solution. The source time function, focal mechanism, and the comparison of the observed and synthetic seismograms after the first iteration is given in Figure 4. This figure indicates that the fit of observed and synthetic waveforms is acceptable around the 20 seconds. The iteration was repeated two times; no significant decrease in the residual error was found after two iterations. This suggested that there were two main fault slip during the source process of the mainshock. The final result of inversion is summarized in Table 2. Examples of the observed and synthetic waveforms, the source time function, the focal mechanism and the ray directions of the stations used in this analysis are given in Figure 5.
Figure 4. The source time function, the focal mechanism, and the ray directions of the stations used in this analysis as well as the comparison of the observed (top) and synthetic (bottom) waveforms after the first iteration for the 2012 Ahar-Varzaghan earthquake. The correlation coefficient, the name, component and azimuth of station are given on the left side of each waveform.
Table 2. The source parameters of the subevents for the final solution of the Ahar-Varzaghan earthquake obtained by waveform inversion.
Figure 5. The comparison of the observed (top) and synthetic (bottom) waveforms for the final solutions of the 2012 Ahar-Varzaghan earthquake. The correlation coefficient, the name, component and azimuth of station are given on the left side of each waveform.
The largest slip took place during the first 10 seconds while the next slip initiated within 50 seconds. Out of two possible fault planes, the one striking NW-SE gave a much better variance reduction and was in agreement with the strike of geological faults in the region. The mechanism solution for the total source was obtained as striking N100W, dipping 75.4, and having rake angle 178. The fault slip was consistent with the geological evidences such as folding and strike-slip a small component reverse faulting in the region. The total seismic moment was calculated to be M. = 6.1 × 1025 dyne cm. The calculated maximum dislocation was about 92 cm and the obtained moment magnitude in this analysis was Mw = 6.4 while the estimated rupture velocity was 2.5 km/s. Using the relation Δσ = 2.5M0/(S)3/2 and approximating the rupture area, S, by L × (L/2), thus the average stress drop, Δσ, could be estimated  . In this study, following the same relation, the average stress drop, Δσ, was estimated to be about 170 bar. Using the relation M. = μDS, where μ = 3 × 1011 dyne cm was the rigidity and S the fault area, the average dislocation, D, was calculated to be 46 cm.
The result of 30 teleseismic waveform modeling in this study indicates that the source process of this earthquake follows mainly two subevents model and focal mechanism of the mainshock is mainly strike slip consistent with the geological and seismological observations. The second subevent has a small reverse component and is in agreement with the tectonics of the area.
The resulted focal mechanism with (strike, slip, rake) (100, 75, 177) presents strike-slip faulting with small reverse component which can clearly prove that this event is a consequence of Arabian plate with the Eurasian plate is convergence. Which causes displacement of the North West to the East, East-west trend indicator strain- partitioning that can be seen clearly in the North West of Iran. The source time function suggests that the main energy was released during the first 10 seconds, the total seismic moment was calculated to be ∑M = 6.1 × 1025 (dyne-cm), the obtained moment magnitude was Mw = 6.4. The calculated maximum dislocation was about 46 cm and stress drop was estimated to be 170 bar. According to the first wave arrival time p, source time function, the triangle is considered. Rupture during the mainshock initiated around the hypocenter and extended unilaterally to the East, Indicates move North West of Iran to the East.
Also, considering the importance of the North Tabriz fault in the majority of historical earthquakes along the fault occurred, to be sure, according to the results, genetic link between the fault earthquake Ahar-Varzeghan and fault north of Tabriz, thus the fault that has direction east-west in the region are of great importance.