1. Introduction
Investigating earthquake mechanisms, identifying their impacts, and detecting potential precursors are crucial steps toward developing effective prediction systems. The precursor research initiated by Leonard and Barnes’s [
1] study of the relationship between the ionosphere and the M = 9.2 earthquake that struck Alaska on March 27, 1964, has since been extended to numerous other earthquakes around the world, serving as a model for understanding and modeling the connection between seismic events, the atmosphere, and ionospheric disturbances [
2,
3,
4,
5,
6,
7]. The key parameters of the LAIC (Lithosphere–Atmosphere–Ionosphere Coupling) model, developed by Pulinets and Ouzounov [
8], begin with the emission of aerosols, particularly radon gas, from the Earth’s surface. These emissions lead to ionization in the atmospheric electric field, followed by anomalies in thermal emissions and fluctuations in atmospheric variables such as temperature, humidity, and pressure. Subsequently, these processes manifest as anomalies in the total electron content (TEC) within the ionosphere and the propagation of electromagnetic waves from the lithosphere through the atmosphere into the ionosphere. Collectively, these inputs form the LAIC model, providing a framework for understanding how these interconnected processes link seismic activity to atmospheric and ionospheric disturbances. Many studies related to the Kahramanmaraş earthquakes, which are the subject of this research, have contributed to the enhancement of the LAIC (Lithosphere–Atmosphere–Ionosphere Coupling) model in the region.
Kherani et al. [
9] investigate traveling ionospheric disturbances (TIDs) associated with the 2011 Tohoku-Oki tsunami, focusing on co-tsunami TIDs (CTIDs) and ahead-of-tsunami TIDs (ATIDs). Using GNSS observations and simulations based on Navier-Stokes and hydromagnetic equations, the study examines acoustic-gravity waves (AGWs) generated by the tsunami and their effects on the ionosphere. Results reveal that ATIDs, occurring 20–60 min before the tsunami, can be detected as early warning indicators due to their long wavelengths and rapid propagation. The findings suggest that ionospheric monitoring through GNSS networks can effectively complement tsunami early warning systems. Riabova and Shalimov [
10] investigate geomagnetic field variations caused by the 6 February 2023, earthquakes in Türkiye and Syria, focusing on signals from both the mainshock (magnitude 7.8) and the strongest aftershock (magnitude 7.5). Using data from ground-based magnetometers at observatories in Türkiye, Romania, Bulgaria, and Serbia, the study analyzes geomagnetic responses at distances of 700–1600 km from the epicenters. Spectral and wavelet analyses were employed to distinguish between seismic Rayleigh waves, atmospheric acoustic-gravity waves, and other geomagnetic disturbances. Key findings include the identification of geomagnetic anomalies linked to Rayleigh waves and internal gravity waves propagating from the epicenters, with periods varying over a broad range. The study highlights the importance of separating seismic-induced signals from solar and external geomagnetic influences for accurate interpretation of ionospheric responses to earthquakes. Rolland et al. [
11] focus on detecting and modeling ionospheric disturbances caused by Rayleigh waves generated by major earthquakes, utilizing dense GPS networks like GEONET in Japan. It demonstrates how seismic surface waves trigger atmospheric acoustic waves, which propagate upwards and create detectable ionospheric electron density perturbations. The study combines GPS total electron content (TEC) data, spectral filtering, and numerical modeling to analyze ionospheric responses to two significant seismic events: the 2008 Wenchuan earthquake (China) and the 2003 Tokachi-Oki earthquake (Japan). Findings reveal that low satellite elevation angles and dense GPS arrays enhance the detection of these disturbances, which are influenced by seismic source characteristics, geomagnetic field effects, and observation geometry. The results provide insights into ionospheric-seismic coupling and demonstrate the potential for ionospheric data to contribute to earthquake source characterization and monitoring.
Haider et al. [
12] investigated various potential precursors for the 2023 Kahramanmaraş earthquakes, including TEC fluctuations, land surface temperature, sea surface temperature, air pressure, relative humidity, outgoing longwave radiation, and air temperature, using statistical and machine learning (ML) methods. The behavior of these same parameters during 2021 and 2022 was also analyzed for comparison. Additionally, the study evaluated Dst, Ap, and Kp indices to interpret the anomalies. The results indicated that many of the examined precursor parameters exhibited abnormal fluctuations 6–7 days prior to the earthquake’s occurrence, suggesting their potential as earthquake precursors. Eroglu and Basciftci [
13] utilized TEC maps obtained from the CODE (Center for Orbit Determination in Europe) analysis center and applied Fourier Transform (FT) to convert time-domain signals into the frequency domain to detect TEC anomalies related to the 2023 Kahramanmaraş earthquakes. Anomalies over the epicenter were identified through grid interpolation, and a threshold of 1.34σ was used in the sliding window method for anomaly detection. The study also investigated solar activity, geomagnetic storms, interplanetary magnetic field variations, as well as volcanic and anthropogenic effects. Anomalies occurring three days prior to the earthquake were identified as potential precursors. Cianchini et al. [
14] conducted a comprehensive study into the 2023 Kahramanmaraş earthquakes and investigated several parameters as potential precursors, examining them over a long-term period. They evaluated the variations of the b value, revised accelerating moment release, and a range of atmospheric parameters (including outgoing longwave radiation (OLR), skin temperature (SKT), CO2, CO, and SO2 gases). They also assessed ionospheric critical frequencies (foF2 and foEs), electron density (Ne), magnetic field components, and electron loss data, along with their cumulative totals over time, within the framework of the earthquake preparation process. They noted that many anomalies progress from the lithosphere to the ionosphere through a series of sequential processes. However, some anomalies reacted differently. The study identified two distinct types of behavior of anomalies: one is thermodynamic, characterized by a diffusive or delayed nature, while the other is potentially electromagnetic, exhibiting an oscillating and sporadic pattern. Riabova et al. [
15] investigated geomagnetic field variations and ionospheric fluctuations after the 2023 Kahramanmaraş earthquakes using ground-based magnetometers and GPS data. The results indicated that post-seismic ionospheric disturbances were observed at distances of 1200–1600 km in the lower ionosphere and 500 km in the upper ionosphere from the epicenter. These findings were evaluated in the context of seismic and atmospheric wave propagation. Vesnin et al. [
16] examined ionospheric effects caused by two major earthquakes in Türkiye on 6 February 2023 (Mw 7.8 and Mw 7.5). GNSS and ionosonde data reveal circular ionospheric disturbances, with the daytime event (Mw 7.5) producing a stronger response (0.5 TECU/min) than the nighttime event (0.1 TECU/min), based on the rate-of-TEC index (ROTI). Disturbances propagated up to 750 km from the epicenters at velocities of ~2000 m/s (ROTI) and 1500–900 m/s (TEC variations). The study highlights asymmetrical propagation dominated by Rayleigh and acoustic modes, with no evidence of acoustic gravity modes. Haralambous et al. [
17] explored ionospheric disturbances over Europe caused by the 6 February 2023, Türkiye earthquake, using Doppler sounding systems, ionosondes, and GNSS receivers. It identified diverse disturbances propagating via different mechanisms and at varying velocities. Beyond the typical focus on total electron content (TEC) variations, this work examined disturbances at multiple ionospheric altitudes. Notably, it highlighted “multiple-cusp signatures” in ionograms, linked to electron density irregularities caused by Rayleigh surface waves generating acoustic waves. The study demonstrated the value of multi-instrument approaches in tracing earthquake-induced ionospheric effects across altitudes and distances. Maletckii et al. [
18] examined the ionospheric response to a series of major earthquakes in Türkiye and Northern Syria on 6 February 2023, using GNSS data from Türkiye, Israel, and Cyprus. The events were divided into two sequences: the first (01–02 UTC) and the second (10–11 UTC). During the first sequence, an N-shaped total electron content (TEC) disturbance was detected following the Mw 7.8 mainshock and Mw 6.7 aftershock, with a smaller response attributed to the Mw 5.6 earthquake, marking the smallest event detected using ionospheric GNSS data. Co-seismic ionospheric disturbances (CSID) propagated southwest at 750–830 m/s velocities. In the second sequence, CSID linked to the Mw 7.5 and Mw 6.0 aftershocks propagated southwest and northwest at 950–1100 m/s.
This study aims to investigate the changes in the ionosphere and atmosphere during the preparation time and after the 7.7 and 7.6 magnitude earthquakes that occurred in Kahramanmaraş, Türkiye in 2023. GPS data from 29 stations were utilized to analyze ionospheric TEC variations, and an evaluation of TEC calculations using different GPS codes was performed. To interpret anomalies in TEC values, parameters related to space weather conditions, including sunspot number (R), solar activity index (F10.7), magnetic storm and activity indices (Kp and Dst), and geomagnetic field components (Bx, By, and Bz), were assessed. Furthermore, to evaluate changes in atmospheric conditions in the region, data from the LTAU sounding station, located near the earthquake epicenter, were analyzed, including atmospheric pressure, temperature, and relative humidity information, with data from 2023 as well as the years 2020, 2021, and 2022 included in the analysis.
Section 2 provides an overview of the study area, details the methodologies employed, and describes the parameters used.
Section 3 presents the results of the study, including VTEC variation and anomaly graphs, space weather conditions, and changes in atmospheric parameters with their corresponding analyses. Finally,
Section 4 discusses the conclusions of the study and outlines recommendations and future research objectives.
3. Results
Fluctuations and anomalies in the calculated VTEC values are illustrated as time series in
Figure 3,
Figure 4,
Figure 5 and
Figure 6. The graphs presented here represent the data from the four stations, which are EKZ1, MAR1, ANTE, and ONIY, nearest to the earthquake epicenters. Graphs of the remaining stations and analysis of them were provided in
Appendix A (
Figure A1–Figure A4). Due to the lack of data at some stations, gaps in the graphs and short period time series were formed.
When examining
Figure 3,
Figure 4,
Figure 5 and
Figure 6, it becomes apparent that similar anomaly trends, with minor variations, are observed across all four stations. At all four stations, positive anomalies were observed between the 16th and 25th GPS days. Notably, on the 18th GPS day, intense positive anomalies reaching approximately 10 TECU were particularly striking. These anomalies were followed by negative anomalies that persisted until around the 33rd or 34th GPS day. Notably, the negative anomalies showed a consistent pattern approximately between the 27th and 33rd GPS days. After the negative anomalies, positive anomalies began appearing periodically from the 34th to 37th GPS day, the day of the earthquake, with small quantities of approximately 4–5 TECU. On the day of the earthquake and especially for 4 days afterward in the EKZ1, ANTE, and ONIY stations, very high and intense positive anomalies, reaching up to 20 TECU, were observed. At the MAR1 station, this period of heightened anomalies persisted until the 43rd GPS day. The increase in TEC anomalies observed after the earthquakes can be associated with the effects of crustal fractures and slip processes in the lithosphere, which influence atmospheric electric fields and enhance ionospheric charge transport. Additionally, heat generation and gas emissions (e.g., radon gas) from the Earth’s crust may alter the ionization levels in the atmosphere. The propagation of seismic and electromagnetic waves generated by the earthquakes into the atmosphere can trigger acoustic-gravity waves, leading to variations in plasma density within the ionosphere. Collectively, these processes contribute to the observed increase in TEC anomalies. These processes, as described in the LAIC model proposed by Pulinets and Ouzounov [
8], can be observed as a result of the lithospheric disruptions caused by the earthquake. At the MAR1 station, no data were available from the GNSS receiver for the 38th and 39th GPS days following the earthquake. The intense positive anomalies subsequently diminished, giving way to smaller and less frequent positive anomalies. Additionally, persistent positive anomalies observed at the MAR1, ANTE, and ONIY stations during the late 46th GPS day and early 47th GPS day were also noteworthy. In contrast, data from the EKZ1 station could only be processed up to the 44th GPS day.
For the analysis of space weather conditions, graphs of sunspot number (R), solar flux index (F10.7), geomagnetic storm (Kp) and activity (Dst), and geomagnetic field indices (Bx, By, Bz) on the relevant days were obtained and are demonstrated in
Figure 7.
It is observed that the solar activity index is high between the 16th and 26th GPS days. Since solar activity is considered the primary cause of ionospheric alterations, it is unclear whether the earthquake had any effect on the anomalies during this period. The subsequent fall in solar activity, followed by a rise as the earthquake date approaches, is quite similar to the trend in the earthquake anomaly graphs. However, despite the positive anomaly values observed 2–3 days before the earthquake, solar activity remained low during that period. Therefore, it can be inferred that the anomaly changes detected on the 34th–36th GPS days are unlikely to be caused by solar activity. During these days, no observations reached moderate or high activity levels in the geomagnetic storm and geomagnetic activity indices. However, data gaps in the geomagnetic field indices are noticeable on the 34th to 36th GPS days. Solar activity increased in the days following the earthquake until the 40th GPS day, after which it began to decrease, but it remained at a high activity level until the 50th GPS day. The geomagnetic storm index reached minor activity between GPS days 38 and 42, and moderate activity on the 46th and 47th GPS days. Similarly, moderate activity was observed in the geomagnetic activity index on the 46th GPS day. This effect is clearly apparent in geomagnetic field indices, especially in the By and Bz components.
To examine the relationships between TEC anomalies and space weather conditions, cross-correlation analysis graphs have been generated and provided in
Figure 8. In the graphs, the horizontal axis represents the time delay in hours, while the vertical axis indicates the magnitude and direction of the relationship. The 0-h point corresponds to the simultaneous correlation between the TEC anomaly time series in the zenith direction of the respective station and the space weather index. By keeping the time series of TEC anomalies fixed, the time series of space weather conditions were sequentially shifted by +1, +2, +3, …, +24 and −1, −2, −3, …, −24 h, and the corresponding correlation values were calculated. The generation of these time-lagged graphs provides insight into how long it takes for space weather conditions to impact the ionospheric layer. However, it should be noted that space weather conditions are not the sole reasons for changes in the ionosphere. The presence of earthquake-induced ionospheric TEC anomalies, as discussed in this study, is expected to influence the calculated correlation coefficients between TEC anomalies and space weather conditions.
An analysis of the cross-correlation graphs for the stations reveals generally low correlations between TEC anomalies and space weather conditions. For all four stations, the cross-correlation graphs corresponding to the same space weather condition index exhibit similar trends despite differing correlation magnitudes. In the EKZ1, ANTE, and ONIY stations, the correlation values in the sunspot number and solar activity index graphs increase as the delay approaches +24 h, reaching approximately 0.2, indicating a positive relationship. In contrast, at the MAR1 station, correlation values also increase toward +24 h but approach only about 0.1. This suggests that the effects of solar activity on ionospheric TEC anomalies may take several hours to appear. While the rising trend in correlations is observed across all four stations, the overall correlation values remain quite low, between 0.1 and 0.2.
When examining the correlation graphs between TEC anomalies and the Kp index, the graphs for the ANTE and ONIY stations are similar, with the highest correlations occurring at delays of −9 and −7 h, respectively. For the ANTE station, the correlation value approaches 0.3, while for the ONIY station, it slightly exceeds 0.3. This suggests that the Kp index may be influenced by the occurrence of TEC anomalies. Similarly, the EKZ1 and MAR1 stations show the highest correlations at delays of −3 and −1 h, respectively, with correlation values of approximately 0.2 and 0.1.
For the Dst index, most time-delayed correlations across all four stations show a negative relationship. The Dst time series and TEC anomalies exhibit inverse relationships at delays of +15 and +16 h, with correlation values exceeding −0.2 for the EKZ1, ANTE, and ONIY stations. A similar inverse relationship is observed for the MAR1 station, where the highest correlation, at −18 h, is approximately −0.1.
Examining the correlation graphs for the Bx, By, and Bz indices, the graphs for the EKZ1, ANTE, and ONIY stations are quite similar, showing the highest positive correlations at delays of −5, −6, and +14 h, with correlation values ranging between 0.1 and 0.2. The occurrence of higher correlation values at both −5, −6, and +14 h delays raises ambiguity about whether these indices influence the ionospheric anomalies or if the ionospheric anomalies first emerge and subsequently affect these indices. At the MAR1 station, however, the correlation values between TEC anomalies and the Bx, By, and Bz indices remain close to zero for nearly all delays. This indicates that no significant relationship exists between the TEC anomalies occurring in the zenith direction of the MAR1 station and these indices.
The time series of atmospheric parameters were acquired from the LTAU sounding station and are illustrated in
Figure 9. When
Figure 9 is examined, it is seen that the atmospheric pressure values in 2023 are fluctuating as in previous years. However, sharp changes in the fluctuation in 2023 are striking. The notable drop in pressure values, followed by a sudden increase after the earthquakes, suggests that this variation may be related to seismic activity. In the temperature graph, it is observed that, unlike previous years, the day-night temperature difference in 2023 remained around 10 °C for an extended period. However, starting from the 27th GPS day, this difference suddenly and significantly decreased, indicating a notable change in trend. This pattern persisted for two days following the earthquake. Although it is not very noticeable in the relative humidity values, the amount of the day-night change difference altered and lost its pattern after the 28th GPS day for this parameter as well.
To examine the relationships between TEC anomalies and atmospheric parameters, cross-correlation analysis graphs have been generated and provided in
Figure 10. Since the data interval of atmospheric parameters is 12 h, TEC anomaly values with interval of same 12 h are used to create cross-correlation graphs.
Upon examining
Figure 10, the pressure parameter reveals notable trend similarities in the correlation graphs for the EKZ1, ANTE, and ONIY stations. When considering a lag of +5 (equivalent to 60 h), the correlations between the pressure parameter and TEC anomalies exhibit the highest positive relationships within their respective graphs. Specifically, the correlation values are approximately 0.5 for the EKZ1 station, 0.4 for the ANTE station, and 0.3 for the ONIY station. In contrast, at the MAR1 station, while the directions of the correlations at different lags are similar to those observed for the EKZ1, ANTE, and ONIY stations, the magnitudes differ. At this station, the highest positive correlation of 0.55 is observed at a lag of +1 unit (12 h).
For the temperature parameter, the graphs, particularly for the ANTE and ONIY stations, demonstrate similar correlation trends across the lagged time series. The highest correlations for the EKZ1 station are observed at a lag of +3 units, showing a negative correlation of −0.3, while the MAR1 station exhibits a similar negative correlation of approximately −0.3 at a lag of +1 unit. For the ANTE and ONIY stations, the correlation trends across all lagged time series are notably consistent. The strongest correlations for these two stations are observed at a lag of +7 units, with approximately −0.4 negative correlations. It is noteworthy that, for this atmospheric parameter, the correlations alternate sequentially between positive and negative across different lagged times. This can be attributed to the periodic behavior of temperature values resulting from the diurnal variations between day and night.
In the relative humidity graphs, similar to those of the temperature parameter, the lagged correlation values alternate sequentially between negative and positive. The highest correlations are observed as follows: for the EKZ1 station, the strongest negative correlation of −0.25 occurs at a lag of +6 units; for the MAR1 station, the strongest positive correlation of approximately 0.25 is observed at a lag of −5 units; for the ANTE station, a positive correlation of approximately 0.3 is observed at a lag of −3 units; and finally, for the ONIY station, the strongest positive correlation of approximately 0.3 is observed at a lag of +1 unit.
The cross-correlation graphs between TEC anomalies and space weather conditions, as well as atmospheric parameters, provide insights into the strength, direction of correlation, and time lag at which the relationships appear most prominent. The correlations between TEC anomalies and space weather conditions generally fall within the range of −0.1 to +0.1 or −0.2 to +0.2. Only the Kp index shows a correlation value reaching up to 0.3. On the other hand, the cross-correlation graphs for atmospheric parameters predominantly fall within the ranges of −0.3 to +0.3 or −0.4 to +0.4. Notably, for the pressure parameter, a correlation value approaching 0.6 was observed at the MAR1 station. These findings suggest that the relationships between TEC anomalies and atmospheric parameters used in this study are stronger than those between TEC anomalies and space weather conditions.
The analysis of TEC anomaly graphs, following the examination of space weather conditions and atmospheric parameters, demonstrates that the positive anomalies observed on GPS days 34, 35, and 36 may be associated with earthquake-related processes. Similar to the findings of Eroglu and Basciftci [
10] in their study on the same earthquake, this conclusion was reached after accounting for and removing the effects of solar activity and magnetic anomalies. Additionally, according to the LAIC model described by Pulinets and Ouzounov [
8], the release of radon from underground sources is suggested to lead to a significant increase in surface temperature. It has been stated that the temperature difference between regions distant from faults and the earthquake-affected area causes horizontal air movements and air mixing, resulting in a temperature rise throughout the entire earthquake preparation zone. The attachment of water vapor to ions reduces the amount of free water vapor in the air, which is why the observed temperature increase is often accompanied by a decrease in relative humidity. Rising warm air is expected to cause a drop in atmospheric pressure. However, these expected observations were not distinctly evident in the atmospheric parameters analyzed in this study. Only a sharp drop in atmospheric pressure was noticeable during the three days preceding the earthquake. The measurement altitude, being considerably distant from the Earth’s surface (1096 m above sea level in 2023), is considered a potential factor that may have attenuated or masked the observable impacts of variations in these parameters, thereby limiting the detection of more pronounced effects that could be associated with the earthquake preparation process. It has been stated that Rayleigh waves generated at the surface during the earthquake induce atmospheric oscillations, as observed in ground pressure measurements, and that these oscillations can be linked to the propagation of atmospheric waves from the lower atmosphere to the ionosphere as a mechanism for ionospheric perturbations figure [
11,
29]. The co-seismic and post-seismic changes observed in atmospheric parameters and TEC variations in this study could also be associated with these atmospheric waves.