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Ionospheric anomaly due to seismic activities – Part 2 ... · and Gufeld et al. (1992) showed...

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Nat. Hazards Earth Syst. Sci., 10, 1751–1757, 2010 www.nat-hazards-earth-syst-sci.net/10/1751/2010/ doi:10.5194/nhess-10-1751-2010 © Author(s) 2010. CC Attribution 3.0 License. Natural Hazards and Earth System Sciences Ionospheric anomaly due to seismic activities – Part 2: Evidence from D-layer preparation and disappearance times S. K. Chakrabarti 1,2 , S. Sasmal 2 , and S. Chakrabarti 2,3 1 S. N. Bose National Centre for Basic Sciences, JD Block, Salt Lake, Kolkata 700098, India 2 Indian Centre for Space Physics, 43 Chalantika, Garia Station Road, Kolkata 700084, India 3 Maharaja Manindra Chandra College, 20, Ramkanta Bose Street, Kolkata 700003, India Received: 2 November 2009 – Revised: 11 May 2010 – Accepted: 13 July 2010 – Published: 25 August 2010 Abstract. We show evidences for anomalous ionospheric behaviour in the signal of Indian navy VLF transmitting sta- tion named VTX due to earthquakes in the South Asian re- gion. We concentrate on the variation of the D-layer prepa- ration time (DLPT) and D-layer disappearance time (DLDT) in a period of sixteen months and study their average behav- iors. We identify those days in which DLPT and DLDT ex- hibit significant deviations. Separately, we compute the en- ergy release by earthquakes during this period and show that “anomalous VLF” days are associated with anomalous en- ergy release. We find that the anomaly and the deviation of DLPT and DLDTs from the mean are linearly correlated. We discuss the predictability in this approach and compare with the terminator shift approach using the same set of data. 1 Introduction In Sasmal and Chakrabarti (2009, hereafter Paper 1), the behaviour of the signal from the Indian Navy station VTX (transmitting at 18.2 KHz), especially the behaviour of the terminators, as received at Kolkata, was presented. Data of four solar quiet years from 2005 to 2008 were used to ob- tain the averaging. From signals received on seismically active days, we specifically studied the behaviours of sun- rise and sunset terminators, and found that there is a higher possibility of detecting anomalous terminator shifts typi- cally two days prior to actual earthquakes. That the sun- rise and sun-set terminators exhibit shifts towards night be- fore earthquakes were known quite a while (Molchanov et Correspondence to: S. K. Chakrabarti ([email protected]) al., 1998; Molchanov and Hayakawa, 1998; Hayakawa and Molchanov, 2000; Hayakawa et al., 2003; Chakrabarti et al., 2005; Maekawa et al., 2006; Rozhnoi et al., 2009). Prior to this approach, workers such as Gokhberg et al. (1989) and Gufeld et al. (1992) showed that several days before the earthquake there were anomalies in the nighttime radio signal. However, the relationship between the anomalous ter- minator times (or any other anomaly for that matter) and seis- micity, (which could be due to a combination of lithospheric- ionospheric coupling, sono-luminescence, breaking of bonds in tectonic plates, etc.) is poorly understood as of now (e.g., Rodger et al., 1999; Hayakawa et al., 2003). Some theoret- ical models have been advanced and numerical simulations were carried out. It was found using simple models that the lowering of the ionosphere by 1–2 km could mimic the ter- minator time shift (Hayakawa et al., 1996; Molchanov et al., 1998) although a more careful and realistic model showed that it would require a lowering of the ionosphere by 4–11 km which would have other observational effects as happens in the cases of solar flares (Rodger et al., 1999; Soloviev and Hayakawa, 2002; Soloviev et al., 2004). It was concluded that observed shifts in terminators are possible only if the propagation path is short (<2500–3000 km). In order to have more input to theoretical studies, we feel that it is essential to look for other types of correlations which may be present. For instance, the time taken to lower the D- layer boundary in the early morning (we call this as the D- layer preparation time or DLPT), and the time taken to raise it again in the evening (we call it the D-layer disappearance time) may also be affected by the seismic activities. This is because, in presence of extra ionizing agent, the times taken for such activities may be altered significantly. Published by Copernicus Publications on behalf of the European Geosciences Union.
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Page 1: Ionospheric anomaly due to seismic activities – Part 2 ... · and Gufeld et al. (1992) showed that several days before the earthquake there were anomalies in the nighttime radio

Nat. Hazards Earth Syst. Sci., 10, 1751–1757, 2010www.nat-hazards-earth-syst-sci.net/10/1751/2010/doi:10.5194/nhess-10-1751-2010© Author(s) 2010. CC Attribution 3.0 License.

Natural Hazardsand Earth

System Sciences

Ionospheric anomaly due to seismic activities – Part 2:Evidence from D-layer preparation and disappearance times

S. K. Chakrabarti 1,2, S. Sasmal2, and S. Chakrabarti2,3

1S. N. Bose National Centre for Basic Sciences, JD Block, Salt Lake, Kolkata 700098, India2Indian Centre for Space Physics, 43 Chalantika, Garia Station Road, Kolkata 700084, India3Maharaja Manindra Chandra College, 20, Ramkanta Bose Street, Kolkata 700003, India

Received: 2 November 2009 – Revised: 11 May 2010 – Accepted: 13 July 2010 – Published: 25 August 2010

Abstract. We show evidences for anomalous ionosphericbehaviour in the signal of Indian navy VLF transmitting sta-tion named VTX due to earthquakes in the South Asian re-gion. We concentrate on the variation of the D-layer prepa-ration time (DLPT) and D-layer disappearance time (DLDT)in a period of sixteen months and study their average behav-iors. We identify those days in which DLPT and DLDT ex-hibit significant deviations. Separately, we compute the en-ergy release by earthquakes during this period and show that“anomalous VLF” days are associated with anomalous en-ergy release. We find that the anomaly and the deviation ofDLPT and DLDTs from the mean are linearly correlated. Wediscuss the predictability in this approach and compare withthe terminator shift approach using the same set of data.

1 Introduction

In Sasmal and Chakrabarti (2009, hereafter Paper 1), thebehaviour of the signal from the Indian Navy station VTX(transmitting at 18.2 KHz), especially the behaviour of theterminators, as received at Kolkata, was presented. Data offour solar quiet years from 2005 to 2008 were used to ob-tain the averaging. From signals received on seismicallyactive days, we specifically studied the behaviours of sun-rise and sunset terminators, and found that there is a higherpossibility of detecting anomalous terminator shifts typi-cally two days prior to actual earthquakes. That the sun-rise and sun-set terminators exhibit shifts towards night be-fore earthquakes were known quite a while (Molchanov et

Correspondence to:S. K. Chakrabarti([email protected])

al., 1998; Molchanov and Hayakawa, 1998; Hayakawa andMolchanov, 2000; Hayakawa et al., 2003; Chakrabarti et al.,2005; Maekawa et al., 2006; Rozhnoi et al., 2009). Priorto this approach, workers such as Gokhberg et al. (1989)and Gufeld et al. (1992) showed that several days beforethe earthquake there were anomalies in the nighttime radiosignal. However, the relationship between the anomalous ter-minator times (or any other anomaly for that matter) and seis-micity, (which could be due to a combination of lithospheric-ionospheric coupling, sono-luminescence, breaking of bondsin tectonic plates, etc.) is poorly understood as of now (e.g.,Rodger et al., 1999; Hayakawa et al., 2003). Some theoret-ical models have been advanced and numerical simulationswere carried out. It was found using simple models that thelowering of the ionosphere by 1–2 km could mimic the ter-minator time shift (Hayakawa et al., 1996; Molchanov et al.,1998) although a more careful and realistic model showedthat it would require a lowering of the ionosphere by 4–11 kmwhich would have other observational effects as happens inthe cases of solar flares (Rodger et al., 1999; Soloviev andHayakawa, 2002; Soloviev et al., 2004). It was concludedthat observed shifts in terminators are possible only if thepropagation path is short (<2500–3000 km).

In order to have more input to theoretical studies, we feelthat it is essential to look for other types of correlations whichmay be present. For instance, the time taken to lower the D-layer boundary in the early morning (we call this as the D-layer preparation time or DLPT), and the time taken to raiseit again in the evening (we call it the D-layer disappearancetime) may also be affected by the seismic activities. This isbecause, in presence of extra ionizing agent, the times takenfor such activities may be altered significantly.

Published by Copernicus Publications on behalf of the European Geosciences Union.

Page 2: Ionospheric anomaly due to seismic activities – Part 2 ... · and Gufeld et al. (1992) showed that several days before the earthquake there were anomalies in the nighttime radio

1752 S. K. Chakrabarti et al.: Ionospheric anomaly due to earthquakes

4 Chakrabarti, Sasmal and Chakrabarti: Ionospheric Anomalydue to Earthquakes

Clilverd, M.A., Rodger, C.J. & Thomson, N.R.: Sunrise effects onVLF signals propagating over a long north-south path, Rad. Sci.34(4), 939-948, 1999b.

Gokhberg et al.: Phys. Earth Planet. Inter., 57, 64-67, 1989.Gufeld et al.: Phys. Solid Earth 28 (3), 267-270, 1992.Lowrie, W.:, Fundamentals of Geophysics, Cambridge University

press.Hayakawa, M., Molchanov, O. A., Shima, N., Shvets, A. V.

and Yamamoto, N.: ”Seismo Electromagnetics: LithosphereAtmosphere-Ionosphere Couplings, (Ed.) Hayakawa, M. &Molchanov, O. A. (TERRAPUB, Tokyo, Japan), p. 223.,2003.

Maekawa, S., Horie, T., Yamanuchi, T., Sawaya, T., Ishikawa, M.,Hayakawa, M. and Sasaki, H.: A. Statistical study on the effectof earthquakes on the ionosphere, based on the sub-ionosphericLF propagation data in Japan, Ann. Geophys., 24, 2219-2225,2006.

Molchanov, O. A. and Hayakawa, M.:Subionospheric VLF signalperturbations possibly related to earthquakes, J. Geophys. Res,103, 17489-17510, 1998.

Molchanov, O. A., Hayakawa, M., Ondoh, T. and Kawai,E.:Precursory effects in the subionospheric VLF Signals for theKobe earthquake, Phys. Earth planet. Inter. 105, 239-248, 1998.

Rodger, C.J., Clilverd, M.A. & Thomson, N.R.: Modeling ofsubionospheric VLF signal perturbations associated with earth-quakes, Rad. Sci., 34(5), 1177-1185, 1999.

Rozhnoi, A., Solovieva, M., Molchanov, O., Schwingenschuh, K.,Boudjada, M., Biagi, P. F., Maggipinto, T., Castellana, L.,Er-mini, A. & Hayakawa, M.: Anomalies in VLF Signals prior tothe Abruzzo earthquake (M=6.3) on 6th April, 2009, Nat. Haz.Earth Syst. Sc., 9, 1727, 2009.

Sasmal, S. & Chakrabarti, S.K.: Ionospheric Anomaly due to Seis-mic Activities -I: Calibration of the VLF signal of VTX 18.2KHzStation From Kolkata and Deviation During Seismic events, Nat.Hazards Earth Syst. Sci., 9, 1403-1408, 2009.

Soloviev, O.V. and Hayakawa, M., Three-dimensional subiono-spheric VLF field diffraction by a truncated high conductingcylinder and its application to Trimpi effect problem, Radio Sci.,37 (5), 4, 2002.

Soloviev O.V, M. Hayakawa, V.I. Ivanov, and O.A. Molchanov,Seismo-electromagnetic phenomenon in the atmosphere in termsof 3D subionospheric radio wave propagation problem, Physicsand Chemistry of the Earth, 29, 639647, 2004.

Fig. 1. Location of the earthquakes in relation to seismic circlescentered around the first reflection point (FRP) of the VTX signalto ICSP, Kolkata, during the sixteen months under study. Theloca-tions of VTX and ICSP are marked with filled boxes and the FRP ismarked with a filled circle. Shadowed circles represent the locationsof the earthquakes, their sizes being proportional to the individualmagnitudes. Concentric circles have radii of multiples of500km.

Fig. 1. Location of the earthquakes in relation to seismic circlescentered around the first reflection point (FRP) of the VTX signal toICSP, Kolkata, during the sixteen months under study. The locationsof VTX and ICSP are marked with filled boxes and the FRP ismarked with a filled circle. Shadowed circles represent the locationsof the earthquakes, their sizes being proportional to the individualmagnitudes. Concentric circles have radii of multiples of 500 km.

In the present paper, we concentrate on the signalof sixteen months duration (from November 2006 toFebruary 2008) from the Indian Navy operated transmissionstation VTX (located at Vijayanarayanam, Lat. 08◦26′ E,Long. 77◦44′ N) as received by Standford University madeAWESOME receiver with cross-loop antennas and ICSPmade Gyrator-II receiver with one loop antenna. The receiv-ing station is at Kolkata (Lat. 22◦34′ E, Long. 88◦24′ N). takea statistics of all the earthquakes in the region during thisperiod and find that a definite correlation exists between theDLDT or DLPT and the effective magnitudes of the earth-quakes. We use the Standardized calibration curve for theVTX-ICSP baseline, However, in terms of predictability, theterminator shift method is found to be better, especially thatwe are discussing short propagation paths.

In Paper 1, details were presented about the receiver andtransmitters used in our study and we do not repeat themhere. The plan of the present paper is the following: inthe next Section, we present the spatial distribution of theearthquakes, and our methodology is to compute the effec-tive magnitude of these quakes at the mid point between theVTX and ICSP. In Sect. 3, we present the DLDT and DLPTvalues for the period of sixteen months and determine themean and deviations from the mean of these quantities. Wethen find the correlation between the effective magnitudes ofthe earthquakes and the deviations in DLDT and DLPT. Wealso determine the predictability of the seismic activities us-ing this method, and compare with that obtained from theterminator shift method. Finally, in Sect. 6 we draw our con-clusions.

2 Statistics of seismic activities

Before we proceed with our results, we wish to present thestatistics of the earthquakes in the region for the period ofsixteen months (November 2006–February 2008) under con-sideration. We gather the data, such as the latitude and lon-gitude of the place of the earthquake, magnitude, depth ofthe epicenter from the web-page of the Indian Meteorolog-ical Department (http://www.imd.ernet.in). In Fig. 1, wepresent a map in which VTX and ICSP are marked withfilled squares. We consider the mid-point of the VTX-ICSPgreat circle path (marked with a filled circle), which is thefirst reflection point (FRP) at the ionosphere. Since the sec-ond and third reflection points are also important for theVTX signal to Kolkata, we expect that earthquakes closerto VTX or ICSP would also affect the possible ionizationin the VTX-ICSP path and therefore the VTX signal ampli-tude. In order to focus our attention on a few earthquakeswhich might affect the observed signals, we note that theearthquake preparation zone size is aboutL ∼ 100.43M km,whereM is the magnitude of the earthquakes. Since thequakes under consideration are ofM < 8, we assume thatquakes up to a distance of 3000 km from the FRP may beinfluential. Using the FRP point as the center, we drawsix concentric seismic circles, having radii in multiples of500 km and consider earthquakes which take place in theseregions. Shaded circles show the locations in which earth-quakes took place and whose magnitudes were used to com-pute the energy release, their sizes being proportional to themagnitudes of the quakes. In Fig. 2a, we draw histogramsof the total number of earthquakes in these seismic circles.We note that the majority of the earthquakes happened be-tween 1000 km and 1500 km, thus these quakes could influ-ence the ionosphere through the second and third hops. In or-der to compute the total energy released by the earthquakeswhich may affect the ionosphere, we use following formu-las (Lowrie, 2007): log10E = 4.4+1.5Ms (for earthquakeswith a magnitudeM < 5.0), and log10E = 5.24+1.44Ms(for earthquakes with a magnitudeM > 5.0), where,E –energy released in the earthquake in Joule and< Ms >=

−3.2+1.45M – surface wave magnitude. Using these, wewill compute the energy released as seen at FRP. We as-sume that the energy of a quake drops as a cylindrical waveamplitude∼ 1/r. We compute the great circle path fromeach of these earthquakes to FRP and calculate the effec-tive energy at FRP. We then obtain the effective magnitude< Ms > of the earthquake at FRP by adding contributionsfrom all the earthquakes which take place in a given day andusing the above formula. In Fig. 2b, we draw a histogramof the effective magnitudes of the earthquakes as seen fromthe FRP. The plot peaks at< M >∼ 3−3.5. The questionwe wish to answer is: does this effective magnitude corre-late with the possible anomalies in the VLF signal and ifso, how. Of course, the major contribution to the effective

Nat. Hazards Earth Syst. Sci., 10, 1751–1757, 2010 www.nat-hazards-earth-syst-sci.net/10/1751/2010/

Page 3: Ionospheric anomaly due to seismic activities – Part 2 ... · and Gufeld et al. (1992) showed that several days before the earthquake there were anomalies in the nighttime radio

S. K. Chakrabarti et al.: Ionospheric anomaly due to earthquakes 1753

(a)

Chakrabarti, Sasmal and Chakrabarti: Ionospheric Anomalydue to Earthquakes 5

0 500 1000 1500 2000 2500 3000 3500Radius of the Seismic Circle in Kilometer

0

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akes

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Fig. 2. (a-b): Histograms of (a) total number of earthquakes in theseismic circles showing that the majority of the earthquakes hap-pened between1000km and1500km and (b) the effective mag-nitudes of earthquakes as seen from the FRP. The plot peaks at< Ms >∼ 3.5 − 4.

0 100 200 300 400

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Fig. 3. (a-b): Plots of (a) DLPT and (b) DLDT as a function ofdays. Dark circles are actually observed values of DLPT and DLDTon a given day and the diamonds represent earthquakes which are‘associated’ with the anomalous data, even when the earthquakemay have taken place 2-3 days later. The thick solid curve is theaverage of the DLPT and DLDT values, and the thin solid curvesare drawn at1σ, 2σ and3σ apart.

(b)0 1 2 3 4 5 6 7 8 9 10

Effective Magnitude of Earthquake at Middle Point of Transmitter and Receiver

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No.

of

eart

hqua

kes

Fig. 2. Histograms of(a) total number of earthquakes in theseismic circles showing that the majority of the earthquakes hap-pened between 1000 km and 1500 km and(b) the effective mag-nitudes of earthquakes as seen from the FRP. The plot peaks at< Ms>∼ 3−3.5.

energy release is from the strongest quakes. For this reason,we also use the individual magnitudes in a separate analysisand present the results.

3 The behaviour of DLPT and DLDT

Following Chakrabarti et al. (2007), we defined two nota-tions in Paper 1, namely, DLPT and DLDT. We define themhere again for the sake of completeness. In the dawn, theD-layer boundary takes certain time to go down from itsmaximum height (PointTA in Fig. 5 below) to the minimumheight (sunrise terminator or SRT, denoted by pointTC inFig. 5). The differenceTC −TA is the D-layer preparationtime or DLPT. Similarly, at the dusk, the sequence of eventsis opposite and through pointsTD, (sunset terminator SST),and pointsTB, respectively. The differenceTB −TD is the D-layer disappearing time or DLDT. Out of a total of sixteenmonths of data that we use, clear data around the sunrise

Chakrabarti, Sasmal and Chakrabarti: Ionospheric Anomalydue to Earthquakes 5

0 500 1000 1500 2000 2500 3000 3500Radius of the Seismic Circle in Kilometer

0

10

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of E

arth

quak

es

0 1 2 3 4 5 6 7 8 9 10Effective Magnitude of Earthquake at Middle Point of Transmitter and Receiver

0

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40

No.

of e

arth

quak

es

Fig. 2. (a-b): Histograms of (a) total number of earthquakes in theseismic circles showing that the majority of the earthquakes hap-pened between1000km and1500km and (b) the effective mag-nitudes of earthquakes as seen from the FRP. The plot peaks at< Ms >∼ 3.5 − 4.

0 100 200 300 400

Day

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T (

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utes

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_-2σ

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T (

Min

utes

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Fig. 3. (a-b): Plots of (a) DLPT and (b) DLDT as a function ofdays. Dark circles are actually observed values of DLPT and DLDTon a given day and the diamonds represent earthquakes which are‘associated’ with the anomalous data, even when the earthquakemay have taken place 2-3 days later. The thick solid curve is theaverage of the DLPT and DLDT values, and the thin solid curvesare drawn at1σ, 2σ and3σ apart.

(a)

Chakrabarti, Sasmal and Chakrabarti: Ionospheric Anomalydue to Earthquakes 5

0 500 1000 1500 2000 2500 3000 3500Radius of the Seismic Circle in Kilometer

0

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of E

arth

quak

es

0 1 2 3 4 5 6 7 8 9 10Effective Magnitude of Earthquake at Middle Point of Transmitter and Receiver

0

10

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30

40

No.

of e

arth

quak

es

Fig. 2. (a-b): Histograms of (a) total number of earthquakes in theseismic circles showing that the majority of the earthquakes hap-pened between1000km and1500km and (b) the effective mag-nitudes of earthquakes as seen from the FRP. The plot peaks at< Ms >∼ 3.5 − 4.

0 100 200 300 400

Day

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T (

Min

utes

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+2

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_y

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_-2σ

-3

0 100 200 300 400

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T (

Min

utes

)

Fig. 3. (a-b): Plots of (a) DLPT and (b) DLDT as a function ofdays. Dark circles are actually observed values of DLPT and DLDTon a given day and the diamonds represent earthquakes which are‘associated’ with the anomalous data, even when the earthquakemay have taken place 2-3 days later. The thick solid curve is theaverage of the DLPT and DLDT values, and the thin solid curvesare drawn at1σ, 2σ and3σ apart.

(b)

Fig. 3. Plots of(a) DLPT and(b) DLDT as a function of days. Darkcircles are actually observed values of DLPT and DLDT on a givenday and the diamonds represent earthquakes which are “associated”with the anomalous data, even when the earthquake may have takenplace 2–3 days later. The thick solid curve is the average of theDLPT and DLDT values, and the thin solid curves are drawn at 1σ ,2σ and 3σ apart.

were obtained in 300 days, and clear data around the sun-set were obtained in 253 days. On the other days, either thetransmitter was down or our receiver was down. We computethe DLPT and DLDT and in Fig. 3a–b plotted them as a func-tion of days. Typically, DLPT varies between 30–50 min, theDLDT varies between 50–70 min. However, in a number ofdays, these values are anomalous. In the figures, dark cir-cles are actually observed values of DLPT and DLDT ona given day, the diamonds represent earthquakes which are“associated” with the anomalous data, even when the earth-quake may have taken place 2–3 days later. The thick solidcurve is the average of the DLPT and DLDT values, com-puted by removing days which show anomalies of more than3σ . The thin solid curves are drawn at 1σ , 2σ , and 3σ apart.In Fig. 4a–b we show the number of days in which various

www.nat-hazards-earth-syst-sci.net/10/1751/2010/ Nat. Hazards Earth Syst. Sci., 10, 1751–1757, 2010

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1754 S. K. Chakrabarti et al.: Ionospheric anomaly due to earthquakes

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6 Chakrabarti, Sasmal and Chakrabarti: Ionospheric Anomalydue to Earthquakes

0 1 2 3 4 5

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Fig. 4. (a-b): The histograms showing the number of days in which(a) DLPT and (b) DLDT exhibited deviations. DLPT shows devia-tions above3σ for only 9 days, but DLDT shows such a deviationfor more than60 days.

0 20000 40000 60000 80000Time (Seconds)

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16/01/2008

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T T

TT

A B

C D

Fig. 5. The variation of the amplitudes of the VTX signal as a func-tion of time in seconds for11 consecutive days: 16 January 2008to 26 January 2008. Days are stacked after an amplitude shiftof 30units. The pointsTA TC , TD andTB are denoted in one of the daysand DLPT=TC − TA and DLDT=TB − TD . On 22nd of January2008, an earthquake occurred with magnitude 6.0. The data on21stJanuary, plotted with a thick line, clearly shows that on 21st January2008, the DLPT and the DLDT are anomalously higher than thoseof the other days. The signal also shows that before and after5 to6 days of the ”earthquake day” the value of DLPT and DLDT isnormal.

(b)

6 Chakrabarti, Sasmal and Chakrabarti: Ionospheric Anomalydue to Earthquakes

0 1 2 3 4 5

Standard Deviation

0

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ays

>3σ

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Fig. 4. (a-b): The histograms showing the number of days in which(a) DLPT and (b) DLDT exhibited deviations. DLPT shows devia-tions above3σ for only 9 days, but DLDT shows such a deviationfor more than60 days.

0 20000 40000 60000 80000Time (Seconds)

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21/01/2008

22/01/2008

23/01/2008

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T T

TT

A B

C D

Fig. 5. The variation of the amplitudes of the VTX signal as a func-tion of time in seconds for11 consecutive days: 16 January 2008to 26 January 2008. Days are stacked after an amplitude shiftof 30units. The pointsTA TC , TD andTB are denoted in one of the daysand DLPT=TC − TA and DLDT=TB − TD . On 22nd of January2008, an earthquake occurred with magnitude 6.0. The data on21stJanuary, plotted with a thick line, clearly shows that on 21st January2008, the DLPT and the DLDT are anomalously higher than thoseof the other days. The signal also shows that before and after5 to6 days of the ”earthquake day” the value of DLPT and DLDT isnormal.

Fig. 4. The histograms showing the number of days in which(a)DLPT and(b) DLDT exhibited deviations. DLPT shows deviationsabove 3σ for only 9 days, but DLDT shows such a deviation formore than 60 days.

deviations took place. For instance, DLPT shows deviationsabove 3σ for only 9 days, but DLDT shows such a deviationfor more than 60 days.

4 Correlation of seismic activities with the VLF data

In Paper 1, it was discussed that the terminator shifts maytake place two days prior to the earthquakes. So it is perti-nent to ask, if anomalies in DLDT and DLPT are also ob-served prior to the earthquakes or not. In order to give an ex-ample, we plot in Fig. 5 the amplitudes of the signal (shiftedby 30 dB vertically for better viewing) for eleven consecutivedays. On 22 January, there was an earthquake of a magnitudeM 6.0. In the data of 21 January, 2008, drawn here with thickcurves, we clearly show that the signal near the sunrise ter-minator is totally different, and the normal sharp drop asso-ciated with the sunrise is replaced by a flatter variation. Thesignal behavior near the sun-set terminator is also differentfrom those of the other days.

6 Chakrabarti, Sasmal and Chakrabarti: Ionospheric Anomalydue to Earthquakes

0 1 2 3 4 5

Standard Deviation

0

10

20

30

No.

Of D

ays

>3σ

0 1 2 3 4 5

Standard Deviation

0

10

20

30

40

50

60

70

No.

of

Day

s

>3σ

Fig. 4. (a-b): The histograms showing the number of days in which(a) DLPT and (b) DLDT exhibited deviations. DLPT shows devia-tions above3σ for only 9 days, but DLDT shows such a deviationfor more than60 days.

0 20000 40000 60000 80000Time (Seconds)

0

50

100

150

200

250

300

350

400

Am

plitu

de

EQ-Day

Anomalous Day

16/01/2008

17/01/2008

18/01/2008

19/01/2008

20/01/2008

21/01/2008

22/01/2008

23/01/2008

24/01/2008

25/01/2008

26/01/2008

T T

TT

A B

C D

Fig. 5. The variation of the amplitudes of the VTX signal as a func-tion of time in seconds for11 consecutive days: 16 January 2008to 26 January 2008. Days are stacked after an amplitude shiftof 30units. The pointsTA TC , TD andTB are denoted in one of the daysand DLPT=TC − TA and DLDT=TB − TD . On 22nd of January2008, an earthquake occurred with magnitude 6.0. The data on21stJanuary, plotted with a thick line, clearly shows that on 21st January2008, the DLPT and the DLDT are anomalously higher than thoseof the other days. The signal also shows that before and after5 to6 days of the ”earthquake day” the value of DLPT and DLDT isnormal.

Fig. 5. The variation of the amplitudes of the VTX signal as afunction of time in seconds for 11 consecutive days: 16 January2008–26 January 2008. Days are stacked after an amplitude shiftof 30 units. The points TA , TC, TD and TB are denoted in one ofthe days and DLPT = TC–TA and DLDT = TB–TD. On 22 January2008, an earthquake occurred withM 6.0. The data on 21 January,plotted with a thick line, clearly shows that on 21 January 2008,the DLPT and the DLDT are anomalously higher than those of theother days. The signal also shows that before and after 5 to 6 daysof the “earthquake day” the value of DLPT and DLDT is normal.

In Fig. 6, we plot DLPT and DLDT in minutes for all thestrong earthquakes having a magnitudeM > 5 (upper twopanels) which belong to the first three seismic circles only(i.e., a zone of radius 1500 km with centre at FRP). In all thecases, earthquakes take place on day “0”. It is clear that theDLPT and DLDT are generally higher prior to the seismicevents and not after them. In fact, if we take simple averagesof DLPT and DLDT, we find (third panel) that the averageis peaked two days prior to the peak for DLPT and one dayprior to the peak for DLDT. The error-bars are the standarddeviations obtained on each day.

As in Paper 1, we plot Fig. 7a–b, the cross-correlationsbetween the (a) DLPT or (b) DLDT and the effective mag-nitudes of the earthquakes which takes place on “0” day.Earthquakes of all the effective magnitudes were taken inthis graph. In Fig. 7a, the peak occurred one day prior tothe earthquake and there are also smaller peaks. In Fig. 7b,we note a quite broad peak, though it also occurred one dayprior to the event day. In terms of predictability, we find thatthe terminator shift approach (Paper 1) gives indications ofpossible seismic events earlier than the DLDT or DLPT ap-proach.

In Fig. 8a–d, we plot a similar result as in Fig. 7a–b, tak-ing the depths of the seismic events into consideration. In (a)and (c) we plot the correlation coefficients for those quakeshaving shallow depths (d < 20 km) and in (b) and (d) we con-sider those quakes having deeper depths (d > 20 km). Wegenerally find that the peak is sharper for shallower quakes.

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Chakrabarti, Sasmal and Chakrabarti: Ionospheric Anomalydue to Earthquakes 7

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 70

40

80

120

DLP

T (

Min

utes

)

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 70

50

100

150D

LDT

(M

inut

es)

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7Time (Days) Lag/Lead

40

60

80

100

DLP

T, D

LDT

(M

inut

es)

DLPT

DLDT

Fig. 6. The variation of the DLPT and DLDT as a function of daysfor a period of15 days around the seismic events. The first panelshows the variation of the DLPT and the second panel shows thevariation of the DLDT. The zero of the X-axis indicates the day of14 earthquakes havingM > 5. The third panel shows the aver-age variation of the DLPT (filled circles) and DLDT (filled squares)obtained from the first two panels with standard deviations as errorbars for those14 earthquakes. It is clear from the third panel thatduring the earthquakes, the value of DLPT is maximum on two daysbefore the earthquakes and the value of the DLDT is maximum onone day before the earthquakes.

-10-9 -8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 67 8 9 10Time (Days) Lag/Lead

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

1.1

Cor

rela

tion

Coe

ffici

ent

-10-9 -8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 67 8 9 10Time (Days) Lag/Lead

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

1.1

Cor

rela

tion

Coe

ffici

ent

DLPT DLDT

Fig. 7. The cross-correlations between the DLPT (left pane) orDLDT (right panel) with the effective earthquake magnitudeoccursare plotted as a function of days before and after the event (’0’thday). In (a), the peak occurs one day prior to the seismic event butthe effect continues even after the event. In (b), the peak isfairlybroad, and appears at around0.5 − 1 day prior to the event.

-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 67 8 9Time (Days) Lag/Lead

0

0.2

0.4

0.6

0.8

1

Cor

rela

tion

Coe

ffici

ent

-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 67 8 9Time (Days) Lag/Lead

0

0.2

0.4

0.6

0.8

1

Cor

rela

tion

Coe

ffici

ent

-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 67 8 9Time (Days) Lag/Lead

0

0.2

0.4

0.6

0.8

1

Cor

rela

tion

Coe

ffcie

nt

-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 67 8 9Time (Days) Lag/Lead

0

0.2

0.4

0.6

0.8

1

Cor

rela

tion

Coe

ffici

ent

20 km < d < 40 km

0 km < d < 20 km

0 km < d < 20 km

20 km < d < 40 km

(a) (b)

(c) (d)

Fig. 8. (a-d): The cross-correlations between the DLPT (a-b) orDLDT (c-d) with the effective earthquake magnitudes as a functionof days before and after the event (‘0’th day). (a) and (c) show theresults for the earthquakes for which the depths (d) of the epicenterare less than20 km and (b) and (d) show the results of the earth-quakes having depths of the epicenters between20 to 40 km. Inall the cases, the peak occurs1 day prior to the seismic event. Forthe shallow earthquakes (d < 20 km) the peak is sharper and thereare no other strong peaks before and after the event. For the deeperearthquakes (20 < d < 40) there are smaller peaks at other daysalso.

0 1 2 3 4 5 6 7 8Standard Deviation in DLPT

0

1

2

3

4

5

6

Effe

ctiv

e M

agni

tude

of E

arth

quak

e

0 1 2 3 4 5 6 7 8Standard Deviation in DLDT

0

1

2

3

4

5

6

Effe

ctiv

e M

agni

tude

of E

arth

quak

e

Fig. 9. Effective magnitudes of the earthquakes as a function of thedeviations from the mean of DLPT (left) and DLDT (right). Thecorrelation is generally linear, i.e., the effective magnitude or theenergy deposited of the associated earthquake is directly related tothe observed deviation.

Fig. 6. The variation of the DLPT and DLDT as a function of days for a period of 15 days around the seismic events. The first panel showsthe variation of the DLPT and the second panel shows the variation of the DLDT. The zero of the X-axis indicates the day of 14 earthquakeshavingM > 5. The third panel shows the average variation of the DLPT (filled circles) and DLDT (filled squares) obtained from the first twopanels with standard deviations as error bars for those 14 earthquakes. It is clear from the third panel that during the earthquakes, the valueof DLPT is maximum on two days before the earthquakes and the value of the DLDT is maximum on one day before the earthquakes.

-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10Time (Days) Lag/Lead

0.1

0.12

0.14

0.16

0.18

0.2

Cor

rela

tion

Coe

ffic

ient

-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

Time (Days) Lag/Lead

0.22

0.225

0.23

0.235

0.24

Cor

rela

tion

Coe

ffic

ient

DLPT DLDT

Fig. 7. The cross-correlations between the DLPT(a) or DLDT(b) with the effective earthquake magnitude occurs are plotted asa function of days before and after the event (“0”th day). In (a), thepeak occurs one day prior to the seismic event but the effect contin-ues even after the event. In (b), the peak is fairly broad, and appearsat around 0.5–1 day prior to the event.

In Fig. 9, we plot the effective magnitude of the earth-quakes as a function of the standard deviation from the mean.The correlation is generally linear, i.e., on a given day, theeffective magnitude or the energy deposited of the associatedearthquake is directly related to the deviation of the DLPT(left) and DLDT (right).

5 Concluding remarks

It is long conjectured that ionospheric anomalies could havebeen detected prior to an earthquake. A number of groupshave been working on this problem for last two decades andsome evidences have been found. Since the Indian sub-continent is also vulnerable to severe earthquakes, we havebeen systematically recording the signals over the last fewyears to either establish or to refute the conjecture. In Paper 1and in the present paper, we have used only the VTX data asreceived from Kolkata. In Paper 1, we concentrated on thecalibration of the sunrise and sunset terminator times overthe whole year so that anomalies may be studied easily. Thiswas also possible because during 2005–2008, the sun wasparticularly quiet and there was no disturbances due to solaractivities. There we showed that there is possibly a distinctsignature of anomaly in the terminator timings and anomalyis seen almost 48 h prior to the seismic events. In the presentpaper, we chose an alternate measurable quantity, namely theD-layer preparation time (DLPT) and D-layer disappearancetime (DLDT). We successfully demonstrated that the morethe energy released due to seismic events on a given day is,the more is the deviation of DLPT and DLDT from the mean.However, the correlation is not very tight and as a result, thepredictability is poorer. We showed that in both DLPT andDLDT, the cross-correlation is peaked only about a day priorto the seismic event. We used both the effective magnitudewhere we add the energy released from small quakes also,

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1756 S. K. Chakrabarti et al.: Ionospheric anomaly due to earthquakes

-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10Time (Days) Lag/Lead

0.04

0.06

0.08

0.1

0.12

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rela

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ffic

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-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10Time (Days) Lag/Lead

0.06

0.08

0.1

0.12

0.14

0.16

0.18

0.2

Cor

rela

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Coe

ffic

ient

-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10Time (Days) Lag/Lead

0.1

0.15

0.2

0.25

Cor

rela

tion

Coe

ffci

ent

-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10Time (Days) Lag/Lead

0.1

0.12

0.14

0.16

0.18

0.2

Cor

rela

tion

Coe

ffic

ient

20 km < d < 40 km

0 km < d < 20 km

0 km < d < 20 km

20 km < d < 40 km

(a) (b)

(c) (d)

Fig. 8. The cross-correlations between the DLPT(a–b)or DLDT (c–d)with the effective earthquake magnitudes as a function of days beforeand after the event (“0”th day). (a) and (c) show the results for the earthquakes for which the depths (d) of the epicenter are less than 20 kmand (b) and (d) show the results of the earthquakes having depths of the epicenters between 20 and 40 km. In all the cases, the peak occurs1 day prior to the seismic event. For the shallow earthquakes (d < 20 km) the peak is sharper and there are no other strong peaks before andafter the event. For the deeper earthquakes (20< d < 40) there are smaller peaks at other days also.

0 1 2 3 4 5 6Standard Deviation in DLPT

0

1

2

3

4

5

6

Eff

ectiv

e M

agni

tude

of

Ear

thqu

ake

0 1 2 3 4 5 6 7Standard Deviation in DLDT

0

1

2

3

4

5

6

Eff

ectiv

e M

agni

tude

of

Ear

thqu

ake

Fig. 9. Effective magnitudes of the earthquakes as a function of thedeviations from the mean of DLPT (left) and DLDT (right). Thecorrelation is generally linear, i.e., the effective magnitude or theenergy deposited of the associated earthquake is directly related tothe observed deviation.

and the absolute magnitudes and showed that in both thecases the pre-cursors are present. What is more, we foundthat for shallower earthquakes (d < 20 km) the correlationpeaks are sharper than the quakes which occur at a higherdepths (d > 40 km).

Although VTX-ICSP baseline might have exhibited a cor-relation, the predictability of the actual event location is stillnot possible. We conjecture that if we carry out such obser-vations from a multiple number of receiving stations, then thebaseline exhibiting a tighter correlation is affected more byseismic events. Thus by taking data of multiple stations wewill possibly be in a position to locate the region of seismicactivities well ahead of time.

Acknowledgements.This project is supported by a RESPONDgrant from ISRO.

Edited by: M. E. ContadakisReviewed by: three anonymous referees

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Sasmal, S. and Chakrabarti, S. K.: Ionosperic anomaly due toseismic activities - Part 1: Calibration of the VLF signalof VTX 18.2 KHz station from Kolkata and deviation duringseismic events, Nat. Hazards Earth Syst. Sci., 9, 1403–1408,doi:10.5194/nhess-9-1403-2009, 2009.

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