Upload
others
View
0
Download
0
Embed Size (px)
Citation preview
INVESTIGATION OF PRE-EARTHQUAKE IONOSPHERIC
ANOMALIES USING VLF/LF INFREP EUROPEAN AND GNSS
GLOBAL NETWORKS
CHRISTINA OIKONOMOU1, HARIS HARALAMBOUS1,2, IREN ADELINA MOLDOVAN3,
RAZVAN GRECULEASA4
1Frederick Research Center, Filokyprou St. 7, Palouriotisa, Nicosia, 1036, Cyprus
E-mail: [email protected] 2Frederick University, Y. Frederickou St. 7, Palouriotisa, Nicosia, 1036, Cyprus
E-mail: [email protected] 3National Institute for Earth Physics, PO BOX MG2, 077125, Magurele, Romania
E-mail: [email protected] 4Sabba S. Stefanescu Institute of Geodynamics,19–21 Jean-Louis Calderon St., Bucharest-37,
Romania, RO-020032, E-mail: [email protected]
Received October 24, 2016
Abstract. Ionospheric TEC (Total Electron Content) variations and Low Frequency (LF) signal amplitude data prior to three large earthquakes (M ≥ 6) in Greece were analyzed using observations from the Global Navigation Satellite System (GNSS) and the European INFREP (International Network for Frontier Research on Earthquake Precursors) networks respectively, aiming to detect potential ionospheric anomalies related to these events and describe their characteristics. For this, spectral analysis on TEC data and terminator time method on LF data were applied. It was found that TEC perturbations appeared few days (1–7) up to few hours before the events lasting around 2–3 hours, with periods 20 and 3–5 minutes which could be associated with the impending earthquakes. In addition, in all three events the sunrise terminator times were delayed approximately 20–40 min few days prior and during the earthquake day.
Key words: Ionospheric earthquake precursors, Total Electron Content (TEC), Spectral Analysis, VLF, terminator time method.
1. INTRODUCTION
The understanding and interpretation of the relation between seismic activity and ionospheric disturbances has received significant attention the last three decades [1–4]. Using a multi-parameter observational dataset and model simulations, [5], examined a large number of earthquakes and proposed the Lithosphere–Atmosphere–Ionosphere Coupling (LAIC) model to describe the consecutive physical processes which lead to the geochemical, atmospheric, ionospheric and magnetospheric anomalies detected up to 12 days before the large seismic events within the earthquake preparation area. This area is designated as a circle with radius ρ = 10
0.43Μ km where M is the earthquake magnitude [6].
Romanian Journal of Physics 62, 816 (2017)
mailto:[email protected]
Article no. 816 Christina Oikonomou et al. 2
As it is described by LAIC model, large amounts of radon can be transported
from earth’s crust to the surface with the aid of various gases emanating from the
active tectonic faults. Radon discharge in the atmosphere leads to ionization of the
air and therefore to the production of huge ion clusters which affect the air
conductivity of the planetary boundary layer and the Global Electric Circuit
locally. Fluctuations of the vertical electric field over active tectonic faults can be
conveyed to the ionospheric F region without any significant attenuation due to the
equality of geomagnetic field lines [7], inducing large-scale electron content
anomalies within the F region. Acoustic gravity waves (AGWs) in regions of
highest conductivity (due to Joule heating) can be also induced which they provoke
small-scale electron concentration disturbances.
The magnetospheric tube over the preparation area is also influenced leading
to enhanced VLF diffusion into tube and to energetic electrons precipitation which
can lower the ionospheric D region resulting to abnormal propagation of VLF
waves [8, 9]. Several studies have proved that radon emission from earth’s crust is
capable of producing enormous amounts of energy release prior to earthquake [10,
11, 12]. In addition, radon release in the atmosphere induces the development of
water condensation nucleus by the produced ions [13, 14]. The latent heat produced
from the water vapor condensation can result to atmospheric thermal anomalies
prior to the seismic events.
Lately, a significant effort has been invested so as to identify possible
earthquake precursors in the ionosphere, utilizing various methodologies and
instruments such as ionosonde observations [15, 16, 17], and GNSS data [18, 19,
20]. A huge amount of studies have employed statistical analysis of GNSS TEC
time series to detect ionospheric TEC anomalies prior to the earthquake [21, 22,
23]. It has been shown that ionospheric precursors are observed between 5 or in
case of very strong earthquakes 12 days to a few hours prior to the earthquake and
that earthquakes should exceed the magnitude of 5 Richter in order to provoke
ionospheric disturbances [24].
In the present study, we follow a multi-techniques and multi-parameters
approach aiming to observe possible ionospheric precursors related to three large
(M ≥ 6) earthquakes that took place in Greece during 2011–2014. In detail, we
applied spectral analysis on GNSS TEC data, as well as the terminator time method
on LF subionospheric signal amplitude data deriving from INFREP European
network.
2. DATA AND METHODOLOGY
The main characteristics of the three seismic events under investigation were
obtained from the earthquake catalog provided by the United States Geological
Survey’s (USGS) Earthquake Hazards Program and are presented at Table 1. TEC
3 Investigation of pre-earthquake ionospheric anomalies Article no. 816
data during the interval 12 days before to the earthquake day were utilized as
derived from dual-frequency phase and code measurements made by GNSS
receivers from the European EUREF network. First we performed spectral analysis
on differential slant TEC (sTEC) defined as the difference of sTEC measurement
between two successive satellite epochs to eliminate hardware biases. The sTEC
described as the integral of the electron density over a line of sight from a ground
receiver to a satellite on the signal propagation path was calculated from the
differential delays of the pseudo-ranges and the phases using an algorithm
developed by [25] that specifies sTEC following the equations given by [26]. The
period of TEC oscillations was chosen up to 40 min so that geomagnetically
induced ionospheric disturbances to be excluded. Figure 1 shows a map of the area
of interest where the GNSS receiver stations and the epicenters of each earthquake
are depicted.
Table 1
List of the three seismic events in Greece studied here and their characteristics
Seismic
Event Mw
Date time
(UT)
R
(km)
Lat
(°)
Lon
(°)
Depth
(km) Region
1 6 4/1/2011
13:29 380 35.66 26.56 59.9
Crete Island,
Greece
2 6.2 6/15/2013
16:11 463 34.45 25.04 10
Crete Island,
Greece
3 6.9 5/24/2014
9:25 927 40.29 25.39 6.43
N. Aegean sea,
Greece
Fig. 1 – Map showing: a) the GNSS receiver stations (magenta dots) used in this study
and b) the epicenters (blue asterisks) of the three seismic events. Numbers in the map correspond to
the number of each seismic event on Table 1. DUTH station was used to study the 3rd event, while
NOA1 station was used for the examination of the 1st and 2nd events. All GNSS stations are lying
within the earthquake preparation zone of each corresponding event.
Article no. 816 Christina Oikonomou et al. 4
Then, we analyzed the propagation characteristics of radio signals from radio
transmitters/receivers in the LF (30–300 kHz) band of INFREP network using
terminator time (TT) method in order to identify possible perturbations due to
seismic activity. The terminator times are defined as the times of minimum in
amplitude (or phase) around sunrise and sunset and are found to shift significantly
just around the earthquake. We traced the times of occurrence of the sunrise
amplitude minima 5 days prior and 5 days after the earthquake. We did not
consider sunset minima since they are not clearly identifiable. The epicenters of the
examined earthquakes as well as the signal propagation path between transmitters
and receivers were lying within the Fresnel zone. This zone is an elliptical area for
which the VLF/LF transmitter and receiver are foci.
The data were obtained from the INFREP network which consists of 11
digital radio receivers that measure the power of the radio signals on 14
frequencies (derived from 14 radio transmitters) distributed in the VLF/LF bands,
since February 2009. In Fig. 2 the locations of the INFREP transmitters and
receivers as well as the epicenters of the three earthquakes are shown, whereas the
characteristics of the VLF/LF receivers and transmitters signals which were
recorded continuously with a time resolution of 1min are presented at Table 2. The
signal with propagation path between TRT (T1) transmitter and CIP receiver was
utilized for the examination of ionospheric anomalies prior to the 1 April 2011
earthquake, while the paths CH1 (T7)-CIP and EU1 (T9)-CIP were employed for
the earthquakes during 15 June 2013 and 24 May 2014 respectively (Fig. 2).
Fig. 2 – The locations of INFREP transmitters (T) and receivers (green triangles)
along with the corresponding Fresnel zones (ellipses).
The epicenters of the three selected earthquakes are denoted with black numbered boxes [9].
5 Investigation of pre-earthquake ionospheric anomalies Article no. 816
Table 2
The details of INFREP transmitters and receivers used in this study
SIGN LOCATION LAT
(°)
LON
(°)
FREQ
(Hz) LOCATION
Transmitters T1T1
T1 TRT Polatli 39.76 32.42 180000 Turkey
T7 CH1 Ouargia 31.92 5.08 198000 Algeria
T9 EU1 Felsberg-
Berus 49.28 6.68 183000 Germany
Receivers R1 CIP Nicosia 35.17 33.35 – Cyprus
R4 POR Evora 38.57 –7.9 – Portugal
3. RESULTS
3.1. SPECTRAL ANALYSIS ON TEC DATA
Inspection of TEC spectrograms few days prior to the earthquake on 1 April
2011 revealed enhanced TEC fluctuations with periods around 20 minutes 1 day
before and at the earthquake day during 4–5 UT, as well as 7 days before the event
during 11–14 UT which were most probably related to the impending earthquake.
Furthermore, persistent increased TEC fluctuations were detected at spectrograms
during 7–11 UT and 17–20 UT in all examined days. These fluctuations occurred
around sunrise and sunset respectively and are induced by solar terminator
transition. It has been found that solar terminator is a source of waves with periods
ranging from 5 min to 1 h [27] which demonstrate high regularity [28] and have
amplitudes 0.05–0.1 TECU [29]. TEC spectrograms deriving from several satellites
passing over the earthquake preparation zone and NOA1 receiver during 24 March
2011 are shown in Fig. 3 for the time-window 12–12.5 UT.
The power spectra of TEC measurements several days before the earthquake
on 15 June 2013 demonstrated intensified TEC wave-like perturbations with
periods around 20 minutes during 1–3 UT on 14 and 15 June 2013 which could be
associated to the earthquake shock. Wave-like perturbations with similar periods
were also identified during 16–18 UT in all days under investigation and were
attributed to the solar terminator transition during sunset time. In addition,
intensified TEC fluctuations with periods around 3 minutes were observed few
hours prior to the event at 1–3 UT which could be considered as possible
ionospheric precursors. Figure 4 presents spectrograms of such fluctuations with
periods around 20 and 3 minutes few hours prior to the earthquake moment.
Article no. 816 Christina Oikonomou et al. 6
Fig. 3 – Snapshots of TEC fluctuations (T up to 40 min) obtained from measurements of 7 satellites
(PRN) passing over the area of interest during 12–12.5 UT on 24 March 2011. The power spectra of
amplitude are also shown. Map shows the number and position of IPPs (blue asterisks),
NOA1 receiver location (pink triangle) and earthquake epicenter (green asterisk).
Fig. 4 – Same as Fig. 3 but for the earthquake day 15 June 2013 during the time-window 0–1.5 UT
and for periods up to 40 min (upper panel) and up to 5 min (lower panel).
7 Investigation of pre-earthquake ionospheric anomalies Article no. 816
Fig. 5 – Same as Fig. 3 but for the earthquake on 24 May 2014 at around 3 UT 1 day (upper panel)
and at around 13 UT 2 days (lower panel) prior the earthquake.
The spectral outputs of TEC observations prior to the seismic event on
24 May 2014 have shown that high TEC oscillations took place within the
earthquake preparation zone at around 3 and 13 UT one and two days before the
earthquake respectively. These fluctuations are depicted at Fig. 5 for the time
window 2.5–3.5 UT and 13–14 UT on 23 and 22 May 2014 respectively. Similarly
to the previous events, consistent TEC fluctuations were detected on a daily basis
at around 18–20 UT which were related to the solar terminator passage.
3.2. TERMINATOR TIME METHOD ON LF SIGNAL DATA
The propagation paths of LF signals for the three events were largely in the
East-West meridian plane mainly for the seismic events on 1 April 2011 and 15
June 2013, therefore, according to [30] the TT method should be effective in
identifying any seismo-ionospheric perturbation. In Fig. 6 the diurnal LF amplitude
variation for the period 5 days prior to 5 days after the earthquake on
1 April 2011 are shown in the form of 24 hours amplitude-time series. As it can be
seen, the propagation path was in complete daylight over 6–18 UT and in complete
darkness over 19–3 UT.
Article no. 816 Christina Oikonomou et al. 8
Fig. 6 – Diurnal variation of the TRT (18 kHz) amplitude received at Portugal receiver (PO)
during the period 27 March–6 April 2011. The red vertical line shows the sunrise minima start
and the red triangles denote the shifts in the sunrise minima times.
This daily pattern was typical from day to day. The average nighttime
amplitude was larger than the average daytime amplitude. The sunrise transition
(time during which the sunrise terminator moves between the transmitter and
receiver producing minima in the received signal amplitude) is also shown in the
same figure. One signal minimum in each day was clearly identified (red arrows).
The time of sunrise minima were shifted up to 40 min during 3 days before and 2
days after the earthquake on 1 April 2011 at Crete Island. They started to become
delayed on 29 March and shifted gradually to a maximum delay one day before the
earthquake. After the earthquake, the minima started shifting back to their normal
positions. Thus, at sunrise at which the LF signal showed minima, anomalous shifts
in TTs were observed, as if the nighttime had been prolonged up to 40 min one day
prior and during the earthquake as seen in our data.
9 Investigation of pre-earthquake ionospheric anomalies Article no. 816
Fig. 7 – Diurnal variation of the CH1 (T7) (19.8 kHz) amplitude received at Cyprus receiver (CIP)
during the period 10–20 June 2013. The red vertical line shows the sunrise minima start and the red
triangles denote the shifts in the sunrise minima times.
Figure 7 demonstrates the diurnal LF amplitude variation for the period 5
days prior to 5 days after the earthquake on 15 June 2013 as daily amplitude-time
series. Similar to the previous seismic event, the propagation path was in complete
daylight over 06–18 UT and in complete darkness over 19–03 UT, and the average
nighttime amplitude is larger than the average daytime amplitude as expected. The
times of sunrise minima were shifted up to 20 min during 5 days before and 1 day
after the earthquake. They started being delayed on 10 June and shifted steadily to
Article no. 816 Christina Oikonomou et al. 10
a maximum delay 1 day before the event, while after it the minima gradually
moved back to their regular positions. These anomalous shifts of sunrise minima
were considered as possible ionospheric precursors.
Fig. 8 – Diurnal variation of the EU1 (T9) (19.8 kHz) amplitude received at Cyprus receiver (CIP)
during the period 19–29 May 2014. The red vertical line shows the sunrise minimum start and the red
triangles denote the shifts in the sunrise minima times.
In Fig. 8 the diurnal LF amplitude variations for the period 5 days prior to
5 days after the earthquake on 24 May 2014 are depicted. Unlike the two previous
11 Investigation of pre-earthquake ionospheric anomalies Article no. 816
seismic events, the propagation path between T9 transmitter and CIP receiver was
shorter and thus the sunrise transition time was also short, nevertheless, one sunrise
minimum is denoted at every day. The typical daily pattern with the average
nighttime amplitude being higher than the average daytime amplitude is also
observed. The time of sunrise minima were shifted up to 20 min during 2 days
before the earthquake on 24 May 2014. The delay of the sunrise minima initiated
on 20 June and maximized at 22 May (2 days prior to the event), whereas next the
minima started moving back to their regular positions. These anomalous shifts of
sunrise minima could be described as ionospheric precursors.
4. CONCLUSIONS
The investigation of three strong crustal earthquakes that took place in
Greece by applying spectral analysis on GNSS TEC data has shown that large
ionospheric TEC anomalies can be observed 7 days up to few hours prior to the
earthquake which could be related to the impending earthquake. These anomalies
lasted approximately 2–3 hours and had periods of around 20 minutes. In addition,
similar TEC anomalies that occurred few hours prior to the earthquake presented
periods of 3–5 minutes. With the aid of spectral analysis, it was possible to
discriminate between the ionospheric TEC perturbations related to the earthquakes
and those induced by the solar terminator transition. Furthermore, we were able to
exclude TEC ionospheric anomalies produced by disturbed geomagnetic conditions
by restricting the period band of spectrograms up to 40 min.
The analysis of the same seismic events by applying termination time
method on LF signal data demonstrated that in all events the sunrise terminator
times were delayed approximately 20–40 min few days prior and during the
earthquake day.
The multi-technique and multi-parameter approach which was adopted in
this study is a requirement for the precise identification of earthquake ionospheric
precursors and is highly recommended it for ionospheric-earthquake related
studies.
Acknowledgements. This work was partially carried out within Nucleu Program, supported by
ANCSI, projects no. PN 16 35 03 01/2016, the Partnership in Priority Areas Program – PNII, under
MEN-UEFISCDI DARING Project no. 69/2014, Capacity Program, Module III – Projects supporting
Romania's participation in international research projects, Bilateral cooperation programs Romania –
Cyprus, 2014–2015, project number 759/2014, and the project Investigation of earthquake signatures
on the ionosphere over Europe – ΔΙΑΚΡΑΤΙΚΕΣ/ΚΥ–ΡΟΥ/0713/37 which is co-financed by the
Republic of Cyprus and the European Regional Development Fund (through the ΔΕΣΜΗ2009–2010
of the Cyprus Research Promotion Foundation). The radio data were obtained with the courtesy of
Prof. Pier Francesco Biagi, and INFREP project.
Article no. 816 Christina Oikonomou et al. 12
REFERENCES
1. S.A. Pulinets, K. Boyarchuk, Ionospheric Precursors of Earthquakes. Springer, Berlin, 2004.
2. E.L. Afraimovich, E.I. Astafieva, M.B. Gokhberg, V.M. Lapshin, V.E. Permyakova, G.M. Steblov,
S.L. Shalimov, Variations of the total electron content in the ionosphere from GPS data recorded
during the Hector Mine earthquake of October 16, 1999, California. Rus. J. Earth Sci. 6 (5), 339–
354, 2004.
3. J.W. van Dam, W. Horton, N.L. Tsintsadze, T.D. Kaladze, T.W. Garner, L.V. Tsamalashvili, Some
physical mechanisms of precursors to earthquakes, J. Plasma Fusion Res. 8 (199–202), 2009.
4. M.V. Klimenko, V.V. Klimenko, I.E. Zakharenkova, S.A. Pulinets, B. Zhao, M.N. Tsidilina,
Formation mechanism of great positive TEC disturbances prior to Wenchuan earthquake on May
12, 2008, Adv. Space Res. 48 (3), 488–499, 2011.
5. S.A. Pulinets, D. Ouzounov, Lithosphere-Atmosphere-Ionosphere Coupling (LAIC) model – An
unified concept for earthquake precursors validation, Journal of Asian Earth Sciences 41, 371–
382, 2011.
6. I.R. Dobrovolsky, S.I. Zubkov, V.I. Myachkin, Estimation of the size of earthquake preparation
zones, Pageoph. 117, 1025–1044, 1979.
7. S.A. Pulinets, Ionospheric precursors of earthquakes; recent advances in theory and practical
applications, Terrestrial Atmospheric and Oceanic Sciences, 15 (3), 413–436, 2004.
8. I.A. Moldovan, A.S. Moldovan, P.F. Biagi, A.O. Placinta, T. Maggipinto, The INFREP European
VLF/LF radio monitoring network – recent status and preliminary results of the Romanian
monitoring system, Rom. Rep. Phys., 64 (1), 263–274, 2012.
9. I.A. Moldovan, A.P. Constantin, P.F. Biagi, D. Toma-Danila, A.S. Moldovan, P. Dolea,
V.E. Toader, T. Maggipinto, The development of the Romanian VLF/LF monitoring system as
part of the international network for frontier research on earthquake precursors (INFREP), Rom.
J. Phys., 60 (7–8), 1203–1217, 2015.
10. M. Kafatos, D. Ouzounov, S. Pulinets, G. Cervone, R. Sing, Energies associated with the Sumatra
Earthquakes of December 26, 2004 and March 28, 2005, AGU 2007 Fall Meeting, San Francisco,
Paper S42B-04, 2007.
11. Y. Omori, Y. Yasuoka, H. Nagahama, Y. Kawada, T. Ishikawa, S. Tokonami, M. Shinogi,
Anomalous radon emanation linked to preseismic electromagnetic phenomena, Nat Hazards Earth
Syst Sci 7, 629–635, 2007.
12. D. Ouzounov, D. Liu, K. Chunli, G. Cervone, M. Kafatos, P. Taylor, Outgoing long wave
radiation variability from IR satellite data prior to major earthquakes, Tectonophysics, 431, 211–
220, 2007.
13. V.E. Toader, I.A. Moldovan, C. Ionescu, Complex monitoring and alert system for seismotectonic
phenomena, Rom. J. Phys., 60 (7–8), 1225–1233, 2015.
14. V.E. Toader, I.A. Moldovan, A. Marmureanu, C. Ionescu, Detection of events in a multidisciplinary network monitoring Vrancea area, Rom. J. Phys., 61 (7–8), 1437–1449, 2016.
15. V.H. Rios, V.P. Kim, V.V. Hegai, Abnormal perturbations in the F2 region ionosphere observed
prior to the great San Juan earthquake of 23 November 1977, Adv. Space Res. 33 (3), 323–327,
2004.
16. J.Y. Liu, Y.I. Chen, Y.J. Chuo, C.S. Chen, A statistical investigation of pre-earthquake
ionospheric anomaly, J. Geophys. Res., 111 (A05304), 2006.
17. Y.B. Yao, P. Chen, S. Zhang, J.J. Chen, F. Yan, W.F Peng, Analysis of pre-earthquake
ionospheric anomalies before the global M = 7.0 + earthquakes in 2010, Nat. Hazards Earth Syst.
Sci. 12 (3), 575–585, 2012.
18. B. Carter, A. Kellerman, T. Kane, P. Dyson, R. Norman, R. Zhang, Ionospheric precursors to
large earthquakes, A case study of the 2011 Japanese Tohoku Earthquake, J. Atmos. Sol-Terr.
Phys. 102, 290–297, 2013.
13 Investigation of pre-earthquake ionospheric anomalies Article no. 816
19. P.I. Nenovski, M. Pezzopane, L. Ciraolo, M. Vellante, U. Villante, M. De Lauretis, Local changes
in the total electron content immediately before the 2009 Abruzzo earthquake, Adv Space Res 55
(1), 243–258, 2015.
20. E.I. Nastase, C. Oikonomou, D. Toma-Danila, H. Haralambous, A. Muntean, I.A. Moldovan,
Investigation of ionospheric precursors of earthquakes in Romania using the Romanian
GNSS/GPS Network, Rom. J. Phys., 61 (7–8), 1426–1436, 2016.
21. J. Li, G. Meng, M. Wang, H. Liao, X. Shen, Investigation of ionospheric TEC changes related to
the 2008 Wenchuan earthquake based on statistic analysis and signal detection, Earthq. Sci.
22(5), 545–553, 2009.
22. M. Contadakis, D. Arabelos, C. Pikridas, S. Spatalas, Total electron content variations over
southern Europe before and during the M 6.3 Abruzzo earthquake of April 6, 2009, Annals of
Geophysics 55 (1), 2012.
23. Q. Song, F. Ding, T. Yu, W. Wan, B. Ning, L. Liu, B. Zhao, GPS detection of the coseismic
ionospheric disturbances following the 12 May 2008 M7. 9 Wenchuan earthquake in China,
Science China Earth Sciences 58 (1), 151–158, 2015.
24. S.A. Pulinets, A.D. Legen’ka, Spatial-temporal characteristics of the large scale disturbances of
electron concentration observed in the F-region of the ionosphere before strong earthquakes,
Cosmic Research 41 (3), 1–10, 2003.
25. B. Muslim, J. Efendi, D.R. Suryanal, Developing near real time TEC computation system from
GPS data for improving spatial resolution of ionospheric observation over Indonesia, Proc of 1st
International Seminar on Space Science and Technology, Serpong, Indonesia, Dec. 3, 2013.
26. Y. Gao, Z.Z. Liu, Precise ionosphere modeling using regional GPS network data, J. Global Pos.
Sys. 28–24, 2002.
27. V. Gorokhov, Studying the Effects of the Terminator and Interrelated Processes in the Mid
latitude Ionospheric E and F Regions as Inferred from the Data of the “Soika6000” Digisonde,
Ionospheric Radio Propagation 91–99, 1989.
28. I.V. Karpov, F.S. Bessarab, Model studying the effect of the solar terminator on the thermospheric
parameters, Geomagn Aeron 48, 209–219, 2008.
29. E.L. Afraimovich, First GPS-TEC evidence for the wave structure excited by the solar terminator,
Earth Planets Space 60 (8), 895–900, 2008.
30. S. Maekawa, M. Hayakawa, A statistical study on the dependence of Characteristics of VLF/LF
terminator, IEEJ Transactions on Fundamentals and Materials 126 (4), 220–226, 2006.