 Research article
 Open Access
 Published:
Complex rupture process on the conjugate fault system of the 2014 Mw 6.2 Thailand earthquake
Progress in Earth and Planetary Science volumeÂ 9, ArticleÂ number:Â 26 (2022)
Abstract
A moment magnitude 6.2 crustal earthquake occurred in northern Thailand on May 5, 2014, and its aftershocks exhibit several lineaments with conjugate pattern, involving geometric complexity in a multisegmented fault system of the Phayao Fault Zone. However, a relationship between those geometric complexities and the rupture evolution of the 2014 Thailand earthquake is still elusive, which is critical to understand complex nature of the earthquake physics and to assess the hazard. Here, we elaborated the newly developed potency density tensor inversion method, used it to invert the globally observed teleseismic P waveforms, and estimated the spatiotemporal distribution of both the slip and the fault geometry. We found the complex rupture evolution consisting of two rupture episodes along a conjugated strikeslip fault system that comprises two distinct fault planes. The first episode originated at the hypocenter and the rupture propagated south along the northâ€“northeast to southâ€“southwest fault plane. The second episode was triggered at around 5Â km north from the epicenter, and the rupture propagated along the eastâ€“northeast to westâ€“southwest fault plane and terminated at the west end of the source area at 5Â s hypocentral time. Our work demonstrates that our potency density tensor inversion can be applied to the smallerscale magnitude6 class earthquakes, and it resolves the complex rupture process controlled by the underlying geometric complexity in the fault system.
1 Introduction
The seismicity of Thailand is relatively low: less than 10 earthquakes with a magnitude greater than 5 have been registered since the 1970s (ISC 2021) (Fig.Â 1). Although situated in a low seismicity zone, Thailand is surrounded by major active faults, such as the Sagaing Fault in Myanmar and the major Aliao ShanRed River fault north of Thailand (Morley et al. 2011) (Fig.Â 1). These faults are subject to a progressive clockwise strain rotation caused by the motions induced by the escape tectonics from the Tibetan Plateau to SE Asia and the Sumatraâ€“Andaman subduction zone (Huchon et al. 1994; Leloup et al. 2001; Morley 2002, 2007; Morley et al. 2011). Thailand has complex geological structures that include multiple active fault zones (Morley 2002; Morley et al. 2011) (Fig.Â 1). Many active fault zones in Thailand are part of a strikeslip fault system trending northeastâ€“southwest and northwestâ€“southeast (Charusiri and PumIm 2009; Morley et al. 2011). These trends are a result of the development of the major Cenozoic rift basin that is subject to a northâ€“south compression and eastâ€“west extension. Geological records suggest that there is historical seismicity since the Late Quaternary in the northern part of Thailand associated with the active fault zones (Fenton et al. 2003; Pailoplee and Charusiri 2016). One of the largest historical earthquakes in 1545 collapsed an immense pagoda in Wat Chedi Luang temple in Chiang Mai province (KÃ¡zmÃ©r et al. 2011) (Fig.Â 1).
The largest recent earthquake in Thailand, which is a focus of this study, had a moment magnitude (M_{W}) 6.2 and occurred in the northern part of the country on 5 May 2014 (GCMT 2014; Pananont et al. 2017). The 2014 Thailand earthquake affected 7 provinces, damaged more than 7000 buildings, and caused 1 death and 107 injuries (Lhamphoonsup et al. 2014; Wechbunthung 2014; Wiwegwin and Kosuwan 2014). The geological field survey was taken 54Â days after the earthquake, and they show that there is no direct evidence of the surface rupture. However, they found many secondary damage effects from the ground shacking such the liquefaction concentrating near the epicenter and the ground cracks which show the pattern toward south and southwest from the epicenter (Pananont et al. 2017). The analyses of synthetic aperture radar (SAR) images were hampered by the regional dense vegetation, which prevented the instrument from measuring coseismic surface deformation, including the surface rupture trace around the source region (Nardkulpat et al. 2017).
The source region is situated in the Phayao Fault Zone (PFZ) (Fenton et al. 2003; Pailoplee et al. 2009), and the epicenter of the 2014 Thailand earthquake (Noisagool et al. 2016; Pananont et al. 2017; TMD 2014; USGS 2014) is located at the transition zone within the conjugated fault system of two major active strikeslip faults: the Mae Lao Fault (MLF) trending ENEWSW and the Phan Fault (PF) trending NS (Noisagool et al. 2016; Pananont et al. 2017) (Fig.Â 2). A relocated hypocenter of the 2014 Thailand earthquake determined by the doubledifference algorithm HypoDD (Pananont et al. 2017) is located at 19.733Â°Â N and 99.689Â°Â E with a 5.2Â km hypocentral depth that is between the middle of the MLF and the top of the PF (Fig.Â 2). The centroid moment tensor solution shows the nodal planes orienting NNWSSE and ENEWSW with M_{W} 6.2 (GCMT 2014). The relocated aftershocks during the first week from the HypoDD (Pananont et al. 2017) can be divided into two major groups: the NS trending aftershocks (NSTA) and the ENEWSW trending aftershocks (EWTA) (Fig.Â 2). The aftershocks focus within 4â€“6Â km depth range at the western edge of the EWTA, whereas the aftershocks along the NSTA dominate 2â€“10Â km deep around the hypocenter (Pananont et al. 2017). The regional moment tensor solutions of the aftershocks (Pananont et al. 2017) are located along the NSTA and EWTA, with their strike directions aligned with the trends of the NSTA and EWTA (Fig.Â 2).
The regional moment tensor solutions of the mainshock and the aftershocks (Noisagool et al. 2016) show that the principal compressive stress orientation is NNESSW (N18Â°E) that is consistent with the regional stress orientation in northern Thailand (Heidbach et al. 2016; Noisagool et al. 2016; Simons et al. 2007). The high shear stress zone is related to the strike orientation of the active MLF that is close to the EWTA: N30Â°Eâ€“N50Â°E. This high shear stress zone contributes to the initiation of slip based on Mohrâ€“Coulomb failure criteria (Noisagool et al. 2016). Pananont et al. (2017) studied the aftershocks sequence occurring within hours by analyzing the changes in the stress field due to the rupture, for which they computed the Coulomb stress changes: they suggested that the mainshock occurred on the rightlateral faulting along the NSTA. They argued that the complex rupture process has produced the complicated pattern of the aftershock distribution. However, the source mechanism of the 2014 Thailand earthquake has not been clearly understood; whether the rupture evolves along the apparent conjugate fault system is inferred from the aftershock distribution. The detailed imaging of the source process of the 2014 Thailand earthquake should be a critical basis to illuminate the causative relationship between the rupture evolution and the geometric complexity in the fault system for the smallerscale, M6class earthquake, which has been difficult to investigate in a means of finitefault inversion.
A possibility for a complex fault geometry can be expected from a simple observation of the teleseismic waveforms. If an earthquake occurs along a single, simple fault plane, the teleseismic waveforms at stations within the same quadrant of the focal mechanism are expected to be similar without being contaminated by too many reflection/refraction phases. In the case of the 2014 Thailand earthquake, the stations TIP and ARU are in the same quadrant of the GCMT moment tensor solution (Fig.Â 3). The waveforms of the TIP and ARU stations show the different waveform shape and amplitude, which is unexpected if the earthquake rupture propagates along a single flat plane with a constant slip vector (e.g., Tadapansawut et al. 2021). This may imply that the mainshock mechanism may involve geometric complexity. We note that the difference in data may also arise from small variations in the travel path, which can be associated with polarity changes of Pwave and may include more complexity in the seismogram. In addition, the aftershock distribution with two major trends of the NSTA and EWTA (Fig.Â 2) also suggests the complexity of fault geometry of the mainshock. To resolve the possible complex fault geometry, we apply a new framework of the potency density tensor inversion algorithm for teleseismic body waveforms (Yamashita et al. 2021). We introduce a relative weight smoothness constraint that is proportional to the components of each basis moment tensor (Kikuchi and Kanamori 1991) into the potency density tensor inversion of Shimizu et al., (2020) which can mitigate the effect of the modeling errors originating from the uncertainty of Greenâ€™s function (Yagi and Fukahata 2011) as well as the uncertainty of fault geometry (Ragon et al. 2018) (see details in the Method section). This method can simultaneously estimate the distribution of the focal mechanism and the slip along the assumed model plane; it enables the reconstruction of complex rupture processes, including those occurring along faults containing fault bends and those consisting of multiple subevents, without a priori assumption of the fault geometry (Tadapansawut et al. 2021; Yamashita et al. 2021). The improved potency density tensor inversion framework has been applied to large earthquakes such as the 2020Â M_{W} 7.7 Caribbean earthquake (Tadapansawut et al. 2021) and the 2018Â M_{W} 7.9 Gulf of Alaska earthquake (Yamashita et al. 2021), but it has never been applied to smallerscale M6class earthquakes like the 2014 Thailand earthquake. In this study, we apply the potency density tensor inversion method to the teleseismic body waves of the 2014 Thailand earthquake. We estimate the spatiotemporal distribution of both the slip and the fault geometry. We then discuss the detailed source process of the 2014 Thailand Earthquake, which is controlled by the geometric complexity of the fault system.
2 Method
To construct a rupture model of the 2014 Thailand earthquake, we apply the potency density tensor inversion of Shimizu et al. (2020). The method can estimate the spatiotemporal distribution of the potencyrate density tensor including the fault geometry information along the assumed model plane without a priori fault geometry assumption; it represents the shearslip vectors with five basis doublecouple moment tensor components (Kikuchi and Kanamori 1991). The observation equation is defined as
where \({u}_{j}\) is the teleseismic waveform at station \(j\). \({G}_{qj}\) is Green's function for the \(q\)th component of the basis doublecouple moment tensor at station \(j\), and \(\delta {G}_{qj}\) is the error of Green's function. \({\dot{D}}_{q}\) is the potencyrate density function for the \(q\)th component of the basis doublecouple moment tensor at the source location \(\xi\) of the assumed model plane (\(S\)). \({e}_{bj}\) is the background Gaussian noise. We introduce the data covariance matrix, which mitigates the effect of the modeling error related to the error of Green's function, following Yagi and Fukahata (2011). This approach makes it possible to evaluate the information from observed data correctly and to obtain a stable solution even under the assumption of a source process model with a high degree of freedom (e.g., Duputel et al. 2014; Shimizu et al. 2020; Yagi and Fukahata 2011).
In order to obtain a stable distribution of the potencyrate density function, we apply smoothing constraints and the strength of the smoothing constraints is objectively evaluated using the Akaikeâ€™s Bayesian information criterion (ABIC) (Akaike 1980). ABIC can be used to objectively determine the optimal relative weights of information from observed data and prior constraints, thus preventing overfitting (e.g., Fukahata and Wright 2008; Yabuki and Matsuâ€™ura 1992; Yagi and Fukahata 2008). In the smoothing constraints proposed by Shimizu et al. (2020), the potencyrate density of the dominant basis component becomes smoother than those of the minor components, because of the spatiotemporal smoothing constraint which was introduced by the Gaussian with a same covariance into the potencyrate density function without distinction for all five basis doublecouple components (Yamashita et al. 2021). To mitigate this bias due to the smoothing constraints, we apply a new framework of the relative weight smoothness constraint (Tadapansawut et al. 2021; Yamashita et al. 2021): It adds an inverse relative weight parameter (\({1/W}_{q}\)) to the standard deviation of each basis component that is proportional to the doublecouple component of the GCMT moment tensor solution (Additional file 1: Fig. S1). To avoid the instability of the solution due to the extremely small relative standard deviation, we set the minimum weight smoothness constraint to 5% of the maximum relative standard deviation. We confirmed that slight changes in the minimum weight do not affect the inversion solution through sensitivity tests perturbing the minimum weight to 10% and 20% (Additional file 1: Fig. S2; Text S1). This new framework has been proven efficient for the analyses of the source process of the 2018 Gulf of Alaska earthquake (Yamashita et al. 2021) and the 2020 Caribbean earthquake (Tadapansawut et al. 2021).
Before applying our newly developed inversion method to the real dataset in the following sections, we first evaluate the resolvability of this approach by performing a numerical test using synthetic waveforms based on the dipping planes of conjugate faults, which are akin to the hypothesized fault system of the 2014 Thailand earthquake (see Numerical test section). The numerical test shows that the inverted solution can well reproduce the input, which suggests that the potency density tensor inversion can resolve complex ruptures even for cases of smallerscale (M6class) events consisting of multiple rupture segments and with geometric changes in the fault system.
3 Data and model setting
For the analysis of the 2014 Thailand earthquake rupture, we use 25 vertical components of the globally observed teleseismic waveforms (Fig.Â 3b) obtained from the Global Seismographic Network and the Federation of Digital Seismograph Network provided by Incorporated Research Institutions for Seismology Data Management Center. The data are selected based on signaltonoise ratio highenough to distinguish the Pwave arrival and to ensure azimuth coverage (Fig.Â 3). Although the earthquake magnitude is small, the waveform at the first 10Â s can be distinguished from the noise level (Additional file 1: Fig. S3). We manually pick the first arrival of Pwave and convert it into a velocity waveform to remove the instrument response. Then, we resample it at 0.5Â s. Following Kikuchi and Kanamori (1991), we calculate Greenâ€™s function at 0.1Â s sampling rate for the components of each basis moment tensor. The finer sampling of Greenâ€™s function with respect to the observed waveform sampling ensures sufficient resolution for the time shift relating to location of each subfault to the hypocenter. After this, we resample Greenâ€™s function at 0.5Â s, which is the waveform sampling rate. The simplified 1D nearsource structure model (Wongwai et al. 2013) is applied to calculate the Haskell propagation matrix for Greenâ€™s function (Additional file 1: Table S1). The sensitivity of the nearsource structure model is evaluated by testing different models (Additional file 1: Fig. S4; Text S1), and we find that the obtained characteristics of the seismic source process can be reproduced using different structure model. The attenuation time constant t* for the teleseismic Pwaveform is about 1Â s (Yagi and Fukahata 2011), and the amplitude of the signal below 1Â s is very weak, so the signal is not affected by aliasing even if the sampling interval is shorter than 1Â s (Additional file 1: Fig. S5). Therefore, following Shimizu et al. (2020), we do not apply a lowpass filter to both the observed waveforms and the theoretical Greenâ€™s functions to avoid complicating the structure of the observation and modeling errors by applying a lowpass filter to the errors. By adopting this approach, it is possible to construct a seismic source model which can explain the observed data undistorted by the lowpass filter (Additional file 1: Fig. S3). The assumed model plane is confined by the relocated aftershock distribution and covers the NSTA and EWTA that are the expected rupture fault planes. We set up the horizontal model plane assuming that the variation of slip in the depth direction is negligible; however, such a supposition can produce a very smooth solution that will impair the interpretation of the rupturing path or the fault geometry. This problem is distinct in the conjugate strikeslip fault earthquakes with multiple fault planes because if the model space is wide and covers unnecessary space where the slip is unlikely to occur, then the unnecessary slip is squeezed out from the actual slip due to the smoothing effects. To mitigate this issue, Yamashita et al. (2021) restricted the horizontal model plane only to the aftershock region and obtained a nonrectangular plane; in that way, the rupture propagation is captured in detail and the solution is more stable. We assume the model plane to have a strike of 60Â° and a dip of 0Â°. The model plane is a nonrectangular horizontal model plane with a maximum total length of 30Â km along the EWTA and 18Â km along the NSTA. The subfault has a dimension of 2â€‰Ã—â€‰2Â km^{2} and lies along the strike and the dip. The moment rate function for each subfault is represented as a linear Bspline function with a 0.5Â s interval. The total rupture duration is set at 8.0Â s. We tested alternative assumptions of the total rupture duration (Additional file 1: Fig. S6; Text S1) and found that 0â€“5Â s is robustly resolved, but later period, e.g., during 5â€“8Â s, is affected by the assumption of total duration. So we here focus our discussion on the robust rupture process during 0â€“5Â s in the following sections. The maximum rupture velocity is set at 3.6Â km/s which is equal to the first layer shear wave velocity (V_{s}) of the simplified structure model (Wongwai et al. 2013) (Additional file 1: Table S1). We tested the sensitivity of the solution against the maximum rupture velocity assumption, where we found that the assumption of rupture velocity does not affect the solution (Additional file 1: Fig. S7; Text S1). As the initial rupture point, we use the relocated hypocenter with coordinates 19.733Â°N, 99.689Â°E at 5Â km depth where the aftershocks exists along both the NSTA and the EWTA (Pananont et al. 2017). The sensitivity of the assumption of the model domain depth has been evaluated by testing with alternative depths at 4Â km and 6Â km (see Stability of the solution subsection), and we find that the fault geometry and rupturing paths are robustly resolved.
4 Numerical test
We perform a numerical test using synthetic waveforms to evaluate a resolvability of our approach for multiplicity of the source process involving the geometric change of the fault system of the smallerscale earthquake. The synthetic rupture process is assumed to take place along the purely vertical fault planes of two different faults: Faults 1 and 2 (Fig.Â 4). We generate the synthetic waveforms at 25 teleseismic stations (Fig.Â 3b), which are the same stations that we use for the analyses of the 2014 Thailand earthquake. Each fault model consists of a set of 1â€‰Ã—â€‰1Â km^{2} subfault grids situated along the strike and the dip. The total fault length for Fault 1 is 10Â km and for Fault 2 is 20Â km; the width of both faults is 8Â km. The input source model is composed of a spatially variable slip distribution along the strike and is symmetrically distributed centered at depth of the hypocenter along the dip (Fig.Â 5a). The input total seismic moment is 0.76â€‰Ã—â€‰10^{19}Â NÂ m (M_{W} 6.5). We assume that the rupture initiates at the hypocenter on Fault 1. Then, the rupture front propagates unilaterally toward south along Fault 1 at a constant speed of 3.6Â km/s (Fig.Â 5e). The rupture on Fault 2 initiates at its eastern edge at 1.0Â s hypocentral time and propagates unilaterally toward the southwest (Fig.Â 5e) at a constant speed of 3.6Â km/s. We generate the synthetic waveform by using Greenâ€™s function incorporating Gaussian noise and then adding the background Gaussian noise (Additional file 1: Fig. S8). Then, we invert the synthetic waveforms using the potency density tensor inversion method adopted in this study. The numerical experiment is performed in the same setting of the 2014 Thailand earthquake analysis. The model plane is a nonrectangular horizontal model plane covering the input sources, and the depth of the model plane, 5Â km, corresponds to the potency centroid depth of the input model (Fig.Â 4). The output total seismic moment is 0.75â€‰Ã—â€‰10^{19}Â NÂ m (M_{W} 6.5). The moment rate function (Fig.Â 5d) is consistent with that of the input (Fig.Â 5b) and shows minor moment release atâ€‰~â€‰2Â s and main moment release at 4â€“6Â s. The resolved spatiotemporal rupture evolution shows that the rupture originates at the hypocenter and propagates southwards along Fault 1 during the first second. Then, a rupture occurs on the east end of Fault 2 and propagates in the southwest direction (Fig.Â 5f). Although the rupture regions obtained in each time window tend to be smoother, the focal mechanisms at each time window are consistent with the fault geometry of the input faults. To confirm the validity of our method, we also conducted numerical tests with two other input models and confirmed that the solution features are reproduced (Additional file 1: Figs. S9 and S10). Overall, the spatiotemporal distribution of the potencyrate density tensor agrees with that of the assigned input model. The results of this numerical test show that, under the present conditions, the potency density tensor inversion can resolve complex ruptures even for cases of smallerscale events consisting of multiple rupture segments and with geometric changes in the fault system.
5 Results
The total moment tensor solution, calculated by the integration of all potencyrate density tensors, exhibits strikeslip faulting with the two nodal planes striking at 250Â° (ENEWSW) and 340Â° (NNWSSE) (Fig.Â 6a). The moment rate function shows at least two rupture episodes: one during 0â€“2.0Â s and the other during 2.0â€“4.5Â s. The highest moment rate occurs at around 3.5Â s (Fig.Â 6b). The total seismic moment is 0.30â€‰Ã—â€‰10^{19}Â NÂ m (M_{W} 6.2), which is larger than the GCMT solution 0.23â€‰Ã—â€‰10^{19}Â NÂ m (M_{W} 6.2). The larger seismic moment in our work is probably due to our model covering a wider area that includes the aftershock distribution along the NSTA and EWTA.
The static distribution of the potency density reveals two large potency zones located in the middle of the EWTA and the NSTA. The larger potency density in the middle of the EWTA is around 1.3Â m, and the potency density in the NSTA near the epicenter is around 1.1Â m (Fig.Â 6c). One of the nodal plane distributions of the potency density tensor shows that the strike orientation is at NNESSW along the NSTA and at ENEWSW along the EWTA (Fig.Â 6c).
The Paxis in Fig.Â 7 is calculated from the potency density tensor at each subfault along the model plane (Fig.Â 6). The Paxis azimuth distribution exhibits two distinct orientations at ENEWSW in the middle of the NSTA and at NNESSW in the middle of the EWTA (Fig.Â 7). The Paxis azimuth histogram shows the twin peaks at 20Â° and 50Â° (measured clockwise from north), where the first peak of the Paxis azimuth (~â€‰20Â°) corresponds to the ones in the EWTA, whereas the second peak (~â€‰50Â°) is from the NSTAâ€™s (Fig.Â 7).
The spatiotemporal distribution of the potencyrate density exhibits two rupture episodes, one along the NSTA and the other along the EWTA (Fig.Â 8a). The initial rupture of the mainshock originates at the hypocenter in the first 1.5Â s and propagates south along the NSTA. The second rupture occurs at the eastern edge of the EWTA between 1.0Â s and 1.5Â s and propagates southwest along the EWTA (Fig.Â 8a). The second rupture has the highest potency rate in the middle of the EWTA between 2.0 and 3.0Â s and terminates at the west end of the EWTA at 5.0Â s. These two rupture episodes coincide with the dominant peaks seen in the moment rate function (Fig.Â 6). The spatiotemporal distribution of the moment tensor solution shows two dominant patterns of strikeslip faulting (Fig.Â 8b): one with a strike at NNESSW near the epicenter occurred between 0.5 and 1.5Â s and the other with a strike at ENEWSW northwest from the epicenter occurred between 1.5 and 4.0Â s.
6 Discussion
6.1 Stability of the solution
In this study, the horizontal model plane has been set at hypocenter at 5Â km depth, even though an actual fault rupture propagates not only horizontal but also in the depth direction. The results of the numerical experiment show that we can estimate the complex rupture processes of the two fault planes by assuming a horizontal model plane at the potency centroid depth. In order to evaluate the modeling sensitivity to the assumption of model domain depth, we tested alternative assumptions of the model plane depth at 4Â km and 6Â km. The moment rate functions show different peaks among the alternative solutions. The timing of the dominant peak of the moment rate is shifted from 4 to 3Â s from shallower to deeper hypocentral models (Additional file 1: Fig. S11). The spatiotemporal distribution of the potencyrate density distributions also shows the time shift of the largest potencyrate release at middle of the EWTA from 3.0 to 2.5Â s from shallower to deeper models. These time differences can be explained by the change in the Greenâ€™s function, which is mainly caused by the difference of model domain depths (e.g., Shimizu et al. 2020). However, the potency density tensor distributions remain the same among the alternative solutions. They show the strike orientations at NNESSW and ENEWSW in the middle of the NSTA and EWTA, respectively (Additional file 1: Fig. S11), which are the same features as seen in our potency density tensor solution. The alternative solutions also show that the rupturing paths remain the same as our preferred solution; the first rupture propagates toward south along the NSTA, and then the secondary rupture initiates at the eastern edge of the EWTA and propagates toward southwest along the EWTA. The sensitivity tests suggest that, although the rupture timing can be uncertain withinâ€‰~â€‰1Â s due to the model domain depth, the overall pattern of the rupture episodes is robustly resolved by our modeling approach. We note that estimates of rupture velocity from the potencyrate density tensor solution can inherently be difficult primarily due to smoothing effects applied in both space and time, especially for the smallerscale earthquake like the 2014 Thailand earthquake, which might be challenging to rigorously resolve the exact timing and location of rupture front.
To further evaluate a reproducibility of the results, we performed the reproduction test by using the solution from our potency density tensor inversion. We generated the synthetic waveforms from our solution and newly performed the inversion (Additional file 1: Fig. S12). The input synthetic waveforms for the reproduction test are generated using the Greenâ€™s function incorporating Gaussian noise and the background Gaussian noise. Then, we inverted the synthetic waveforms with the same model setting as for our preferred potency density tensor inversion for the 2014 Thailand earthquake. The result shows that the moment rate function has the major peak at about 3â€“4Â s (Additional file 1: Fig. S12b), which is the same feature as we resolved for our solution (Additional file 1: Fig. S12a). The distribution of the potency density tensor shows that the strike orientations at NNESSW and ENEWSW in the middle of the NSTA and EWTA, respectively, which are the same features as seen in our solution. In addition, the spatiotemporal distribution of the potencyrate density tensor (Additional file 1: Fig. S12d) exhibits two distinct rupture propagation: (1) southward rupture propagation during 0â€“1.5Â s along the NSTA and (2) southwestern rupture propagation during 1.5â€“4.5Â s along the EWTA, which are the main rupture features resolved in our solution (Additional file 1: Fig. S12c), and thus we will focus on these rupture processes in the Discussion section and will avoid discussing detailed features of rupture processes that are not reproduced in the reproduction test.
6.2 Two rupture episodes
Our source model of the 2014 Thailand earthquake distinguished two rupture episodes that show a dominant strikeslip faulting consisting of different rupture lineation along the NSTA and EWTA (Fig.Â 8), which are consistent with the nodal plane distribution (Fig.Â 6c) and thus facilitate identification of the possible fault geometry for the 2014 Thailand earthquake. The nodal plane distribution along the NSTA shows nodal strikes in the NNESSW direction and the auxiliary plane in the ESEWNW direction (Fig.Â 6). The nodal plane distribution along the EWTA shows nodal strikes in the ENEWSW direction and the auxiliary plane in the NNWSSE direction (Fig.Â 6). The consistency between the nodal plane distribution (Fig.Â 6c) and the rupture directions of the spatiotemporal potencyrate density distribution (Fig.Â 8) helps facilitate identification of the possible fault geometry. The striking plane along the NSTA is determined to be in the NNESSW direction and is associated with the rupture propagating toward the south. The striking plane along the EWTA is determined to be in the ENEWSW direction and is associated with the rupture propagating toward the southwest. The obtained two dominant fault planes along the NSTA and EWTA are consistent with the two distinct trends of the relocated aftershock distribution (Pananont et al. 2017). The first is the NS trend (~â€‰180Â° from north) along the NSTA located near the epicenter, and the second is the ENEWSW trend (~â€‰60Â° from north) along the EWTA located northwest from the epicenter. Although the geometry of our model, designed to cover the aftershock distribution area, is nonrectangular, the potency density and the potencyrate density of each subfault are estimated independently from the assumed model geometry.
During the first 1.5Â s, the rupture propagates from the hypocenter to the southern edges of the NSTA (Fig.Â 8b). Then, at around 1.5Â s as the rupture migrates from the NSTA to the EWTA, the fault strike direction changes from NNESSW at the northern edge of the NSTA to ENEWSW at the eastern edge of the EWTA, which implies that the fault planes in the NSTA and EWTA can be considered as a conjugate fault, where the planes inclined at angles on either side of the maximum principal stress (Scholz 2002). Next, between 2.0 and 3.5Â s the second rupture propagates along EWTA from its eastern edge toward the southwest and terminates at around 5.0Â s at its western edge. It is associated with the second rupture arising at the eastern edge of the EWTA, propagating west during the period between the 2.0 and 3.5Â s and having the highest potencyrate of around 0.9Â m/s (Fig.Â 8b). Our result of the major slip along the EWTA is robustly resolved even if we change the nearsource structure model, the assumptions of the total duration, and the maximum rupture velocity (Additional file 1: Figs. S4, S6, and S7). According to the surface fault lines (DMR 2016; Noisagool et al. 2016), the orientation of the known active conjugated strikeslip faults of the PF and MLF shows striking at N5Â°Eâ€“N13Â°E and N30Â°Eâ€“N50Â°E; this is consistent with our findings that at the northern edge of the NSTA, the striking is in the NNESSW direction and at the eastern edge of the EWTA, in the ENEâ€“WSW direction. The multiple subevents at the conjugated strikeslip fault system are possibly due to the complex rupture evolution among the geometrically complex fault system (e.g., Meng et al. 2012; Yamashita et al. 2021). Therefore, our solution suggests that the rupture evolution of the 2014 Thailand earthquake is characterized by multiple subevents in the conjugated strikeslip fault system of the PF and MLF.
Our results indicate that the conjugate fault ruptured during the mainshock, but Pananont et al. (2017) suggests that primary rupture on the NS trending fault plane during the mainshock may host the aftershock activity triggered on the conjugate structure of the ENEWSW trending fault plane. Therefore, we examined whether the observed waveforms could be explained if the rupture occurred only on the NS trending fault. We first set up a single fault plane with reference to the northâ€“southstriking nodal plane of the focal mechanism obtained in Pananont et al. (2017) and inverted the observed waveforms on that plane using the finitefault inversion method (Yagi and Fukahata 2011), assuming a twocomponent basis slip vector (Additional file 1: Fig. S13). As a result, the variance reduction (Shimizu et al. 2021) decreases significantly from 73% to 54% (Additional file 1: Fig. S14), indicating that the model with no variation in fault geometry cannot explain the complex teleseismic waves of the present earthquake. We next performed the potency density tensor inversion (the adopted method in this study), placing the horizontal model plane only on the NSTA (Additional file 1: Fig. S15). The potency density tensor inversion projects the slips on multiple faults onto the assumed model plane. Therefore, if a large seismic potency is released on the ENEWSW trending fault, it is expected that subevents corresponding to the ENEWSW trending fault slip will be detected near the model plane boundaries and that the waveforms will be poorly fitted due to the improper model plane. As expected, the obtained results of the spatial distribution and the spatiotemporal distribution (Additional file 1: Fig. S15) show that subevents with focal mechanisms corresponding to slip on the ENEWSW trending fault are projected on the northwest boundary of the assumed model plane and with a variance reduction of 66% (Additional file 1: Fig. S14). These two results indicate that a model in which two faults rupture during the mainshock is necessary to explain the complex teleseismic body waves.
6.3 Paxis distribution
The spatial distribution of the Paxis azimuth, extracted from the potency density tensor for each subfault, exhibits two major orientations at ENEWSW in the NSTA and NNESSW in the EWTA (Fig.Â 7). The histogram of the Paxis azimuth distribution displays two peaks, one at 20Â°â€“30Â° and the other at 50Â°â€“60Â° (Fig.Â 7b), which should reflect the dominant orientations within the EWTA and NSTA, respectively. Our Paxis orientations at 20Â°â€“30Â° within the EWTA are consistent with the one obtained by Noisagool et al. (2016), which is estimated based on the mainshock and aftershocks focal mechanisms, mostly located within the EWTA (Pananont et al. 2017), while the direction of our Paxis azimuth along the NSTA obtained in this study (~â€‰50Â°, Fig.Â 7) is not consistent with the one (~â€‰18Â°) obtained by Noisagool et al. (2016). However, if Coulomb's friction factor is a typical value of 0.6, the two peaks of our Paxis histogram (Fig.Â 7) can be naturally explained as a shift of the Paxis of the conjugate fault plane (Iio 1997), which leads toâ€‰~â€‰35Â°. We should mention, however, the focal mechanism solutions obtained in this study are affected by dynamic changes in the stress field due to seismic waves or localized fault structures, and estimation of the principal stress axis is beyond the scope of this study. Our results suggest that further investigation of the stress field in this region is needed, taking into account the spatial bias of aftershock distribution, which affects the estimates of the principal stresses for the conjugate fault earthquake.
7 Conclusion
We construct a source model for the 2014 Thailand M_{W} 6.2 earthquake that occurred within the Phayao Fault Zone in northern Thailand, by applying a new framework of the potency density tensor inversion and resolved both the fault geometry and the slip. Our source model exhibits complex rupture evolution consisting of two rupture episodes along a conjugated strikeslip fault system that comprises two distinct fault planes. These planes coincide with the relocated aftershock distribution. The initial rupture originates at the hypocenter and propagates southward along the northâ€“south oriented fault plane near the epicenter. Then, the second rupture episode is triggered north of the epicenter at the eastern edge of the conjugated eastâ€“west oriented fault plane and propagates southwestward until the rupture terminates. The teleseismic waveform shape can be modulated by the focal mechanism changes during the rupture propagation along the geometrically complex fault system. Especially for the case of the 2014 Thailand earthquake, the rupture along the different mechanisms of the two distinct conjugate faults generates different shape of the teleseismic waves accordingly. Such information of the fault geometry change included in the teleseismic data is properly retrieved by our approach of the potency density tensor inversion (Shimizu et al. 2020), leading to resolving the complex rupture evolution associated with the complex fault geometry, even for the smallerscale M6class earthquakes.
Availability of data and materials
Teleseismic waveforms were obtained from the following networks: the Global Seismograph Network (GSN IRIS/IDA, II; https://doi.org/10.7914/SN/II); the Global Seismograph Network (GSN IRIS/USGS, IU; https://doi.org/10.7914/SN/IU); New China Digital Seismograph Network (NCDSN, IC; https://doi.org/10.7914/SN/IC); the Alaska Regional Network (AK; https://doi.org/10.7914/SN/AK); the Australian National Seismograph Network (ANSN, AU; http://www.fdsn.org/networks/detail/AU/); the China National Seismic Network, the Data Management Centre of the China National Seismic Network at the Institute of Geophysics (SeisDmc CEA, CB; https://doi.org/10.7914/SN/CB); the Czech Regional Seismic Network (CZ; https://doi.org/10.7914/SN/CZ); GEOFON (GE; https://doi.org/10.14470/TR560404); the Japan Meteorological Agency Seismic Network (JP; http://www.fdsn.org/networks/detail/JP/); the Kyrgyz Seismic Telemetry Network (KNET, KN; https://doi.org/10.7914/SN/KN); the Mediterranean Very Broadband Seismographic Network (MedNet, MN; https://doi.org/10.13127/SD/fBBBtDtd6q); and the Austrian Seismic Network (OE; https://doi.org/10.7914/SN/OE). The moment tensor solutions were obtained from the GCMT catalog (https://www.globalcmt.org/CMTsearch.html). The CRUST 1.0 structural velocity model of Laske et al. (2013) is available at https:// igppweb.ucsd.edu/â€‰~â€‰gabi/crust1.html. The topography and bathymetry data from SRTM15â€‰+â€‰are available at https://topex.ucsd.edu/pub/srtm15_plus/. The global database of the major active faults from Styron and Pagani (2020) is available at https://github.com/GEMScienceTools/gemglobalactivefaults.
Abbreviations
 PFZ:

Phayao Fault Zone
 MLF:

Mae Lao fault
 PF:

Phan fault
 NSTA:

NS trending aftershock
 EWTA:

ENEWSW trending aftershock
 MSF:

Mae Suai fault
 MSBF:

Mae Suai boundary fault
 Az:

Azimuth
 Del:

Epicentral distance
 ABIC:

Akaikeâ€™s Bayesian information criterion
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Acknowledgements
This work has been supported by a GrantinAid for Scientific Research (C) 19K04030. We thank Passakorn Pananont and others for making their relocated aftershock data determined by the HypoDD and the nearsource structural velocity model available. We thank the Department of Mineral Resources of Thailand and the Thai Meteorological Department for making available their regional fault surface lines of the Phayao Fault Zone. The facilities of IRIS Data Services and specifically the IRIS Data Management Center were used to access the waveforms, related metadata, and derived products used in this study. IRIS Data Services are funded through a Seismological Facilities for the Advancement of Geoscience (SAGE) Award from the National Science Foundation under Cooperative Support Agreement EAR1851048. The figures were generated with Generic Mapping Tools version 5 (Wessel et al. 2013), Matplotlib version 3.1.1 (Hunter 2007), and ObsPy version 1.1.0 (Beyreuther et al. 2010).
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This work has been supported by Japan society for the promotion of science, a GrantinAid for Scientific Research (C) 19K04030.
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YY and TT conceptualized the study. TT, YY, KS, and SY developed the methodology. TT, YY, KS, and SY performed data analyses. TT, SY, and RO visualized the data. YY supervised the study and acquired the fund. TT wrote the original draft. All authors validated the results and read and approved the final manuscript.
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Supplementary Information
Additional file 1: Text S1.
Uncertainty and sensitivity analyses of the potency density tensor inversion. Figure S1. The summary of the relative weight smoothness constraint for each basis moment tensor component from M1 to M5 (Kikuchi and Kanamori 1991). Figure S2. The comparison of the results adopting the different weight smoothness constraints of 5%, 10% and 20% of the maximum relative standard deviation. Figure S3. The waveform fitting between the observed waveform and the synthetic waveform of the 2014 Thailand earthquake. Figure S4. The summary of the sensitivity test of the nearsource structure models using the CRUST1.0 model (Laske et al. 2013) (Additional file 1: Table S2) and the regional velocity model (Wongwai et al.Â 2013) (Additional file 1: Table S1). Figure S5. An impulse response function of the effect of inelastic attenuation of the Earth. Figure S6. The summary of the sensitivity test of the total rupture duration assumption at 6 s, 8 s, 10 s, and 12 s. Figure S7. The summary of the sensitivity test of the maximum rupture velocity assumption at 3.2 km/s, 3.6 km/s, and 4.0 km/s. Figure S8. The waveform fitting between the input and output waveforms from the numerical test (Figs. 4 and 5). Figure S9. Summary of the numerical test of the input of rupture propagating toward NE along Fault 2. Figure S10. Summary of the numerical test of one input rupture fault of the Fault 1. Figure S11. The summary of the sensitivity test of the different model plane depth at 4 km, 5 km, and 6 km. Figure S12. The summary of the reproduction test. Figure S13. The summary of a single vertical fault plane analysis. Figure S14. The waveform fit between the observed waveform and the synthetic waveform of our study, an assumed horizontal plane covering only on the NS analysis in Additional file 1: Fig. S15, and a single vertical mode plane analysis in Additional file 1: Fig. S13.Â Figure S15. The summary of the analysis assuming a horizontal model plane covering only the NS segment. Table S1. Velocity structure (Wongwai et al. 2013) used for calculating Greenâ€™s function. Table S2. Velocity structure used for calculating Greenâ€™s function made from CRUST1.0 model (Laske et al. 2013).
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Tadapansawut, T., Yagi, Y., Okuwaki, R. et al. Complex rupture process on the conjugate fault system of the 2014 Mw 6.2 Thailand earthquake. Prog Earth Planet Sci 9, 26 (2022). https://doi.org/10.1186/s40645022004845
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DOI: https://doi.org/10.1186/s40645022004845
Keywords
 2014 Thailand earthquake
 Complex rupture process
 Teleseismic P waveform potency density tensor inversion
 Conjugate fault