Abbott B P et al. (2016) Observation of Gravitational Waves from a Binary Black Hole
Merger. Phys Rev Lett 116(6):61102. doi:10.1103/PhysRevLett.116.061102
Aki K, Richards P G (2002) Quantitative Seismology, 2nd edn. University Science
Books, Susalito, California.
Ando M, Ishidoshiro K, Yamamoto K, Yagi K, Kokuyama W, Tsubono K, Takamori A
(2010) Torsion-Bar Antenna for Low-Frequency Gravitational-Wave Observations.
Phys Rev Lett 105(16):161101. doi:10.1103/PhysRevLett.105.161101
Aoi S, Asano Y, Kunugi T, Kimura T, Uehira K, Takahashi N, Ueda H, Shiomi K,
Matsumoto T, Fujiwara H (2020) MOWLAS: NIED observation network for
earthquake, tsunami and volcano. Earth Planets Space 72:126. doi:10.1186/s40623020-01250-x
Chu R, Wei S, Helmberger D V, Zhan Z, Zhu L, Kanamori H (2011) Initiation of the
great Mw 9.0 Tohoku–Oki earthquake. Earth Planet Science Let 308(3–4):277–
283. doi:10.1016/j.epsl.2011.06.031
Crotwell H P, Owens T J, Ritsema J (1999) The TauP Toolkit: Flexible seismic traveltime
and
ray-path
utilities.
Seismol
Res
Lett
70(2):154–160.
doi:10.1785/gssrl.70.2.154
Dahlen F A, Tromp J (1998) Theoretical Global Seismology. Princeton University
Press.
Ekström G, Nettles M, Dziewoński A (2012) The global CMT project 2004–2010:
centroid-moment tensors for 13,017 earthquakes. Phys Earth planet Inter 200:1–9.
97
Goldstein P, Snoke A (2005) SAC availablility for the IRIS Community, Incorporated
Institutions for Seismology Data Management Center Electronic Newsletter.
Harms J (2016) Transient gravity perturbations from a double-couple in a homogeneous
half-space. Geophys J Int 205(2):1153–1164. doi:10.1093/gji/ggw076
Harms J, Ampuero J P, Barsuglia M, Chassande-Mottin E, Montagner J-P, Somala S N,
Whiting B F (2015) Transient gravity perturbations induced by earthquake rupture.
Geophys J Int 201(3):1416–1425. doi:10.1093/gji/ggv090
Havskov J, Alguacil G (2016) Instrumentation in earthquake seismology 2nd edn.
Springer, Dordrecht. doi:10.1007/978-3-319-21314-9
Hayes T J, Valluri S R, Mansinha L (2004) Gravitational effects from earthquakes. Can
J Phys 82(12):1027–1040. doi:10.1139/p04-068
Heaton T H (2017) Correspondence: Response of a gravimeter to an instantaneous step
in gravity. Nat Commun 8:66. doi:10.1038/s41467-017-01348-z
Ide S, Baltay A, Beroza G C (2011) Shallow dynamic overshoot and energetic deep
rupture in the 2011 Mw 9.0 Tohoku-Oki earthquake. Science 332(6036):1426–
1429. doi:10.1126/science.1207020
Imanishi Y (2001) Development of a High-Rate and High-Resolution Data Acquisition
System Based on a Real-Time Operating System. J Geod Soc Japan 47(1):52–57.
doi:10.11366/sokuchi1954.47.52
Imanishi Y (2005) On the possible cause of long period instrumental noise (parasitic
mode) of a superconducting gravimeter. J Geod 78:683–690. doi:10.1007/s00190005-0434-5
Imanishi Y (2009) High-frequency parasitic modes of superconducting gravimeters. J
Geod 83:455–467. doi:10.1007/s00190-008-0253-6
98
Imanishi Y, Sato T, Higashi T, Sun W, Okubo S (2004) A network of superconducting
gravimeters detects submicrogal coseismic gravity changes. Science 306(5695):
476–478. doi:10.1126/science.1101875
Juhel K, Ampuero J P, Barsuglia M, Bernard P, Chassande-Mottin E, Fiorucci D, Harms
J, Montagner J-P, Vallée M, Whiting B F (2018) Earthquake early warning using
future generation gravity strainmeters. J Geophys Res Solid Earth 123(12):10889–
10902. doi:10.1029/2018JB016698
Juhel K, Montagner J-P, Vallée M, Ampuero J P, Barsuglia M, Bernard P, Clévédé E,
Harms J, Whiting B F (2019) Normal mode simulation of prompt elastogravity
signals induced by an earthquake rupture. Geophys J Int 216(2):935–947.
doi:10.1093/gji/ggy436
Kame N, Kimura M (2019) The fundamental nature of a transient elastic response to
prompt
gravity
perturbations.
Geophys
Int
218:1136–1142.
doi:10.1093/gji/ggz196
Kanamori H, Anderson D L (1975) Theoretical basis of some empirical relations in
seismology. Bull Seismol Soc Am 65(5):1073–1095.
Kanamori H, Given J W (1981) Use of long-period surface waves for rapid
determination of earthquake-source parameters. Phys Earth Planet Inter 27:8–31.
doi:10.1016/0031-9201(81)90083-2
Kimura M (2018) No identification of predicted earthquake-induced prompt gravity
signals in data recorded by gravimeters, seismometers, and tiltmeters and its
interpretation based on the principle of gravimetry. Master thesis, the University of
Tokyo,
Japan.
https://repository.dl.itc.u-
tokyo.ac.jp/?action=pages_view_main&active_action=repository_view_main_item
99
_detail&item_id=51237&item_no=1&page_id=28&block_id=31
Kimura M, Kame N (2019) Representation Theorem and Green's Function (3) — Strain,
Stress, and Density Perturbation Fields due to a Point Source Using 2nd Derivative
of Green's Function in an Unbounded Homogeneous Isotropic Elastic Medium —
(in japanese). Zisin 2 71:153–160. doi:10.4294/zisin.2017-20
Kimura M, Kame N, Watada S, Ohtani M, Araya A, Imanishi Y, Ando M, Kunugi T
(2019a) Earthquake-induced prompt gravity signals identifed in dense array data in
Japan. Earth Planets Space 71:27. doi:10.1186/s40623-019-1006-x
Kimura M, Kame N, Watada S, Ohtani M, Araya A, Imanishi Y, Ando M, Kunugi T
(2019b) Reply to comment by Vallée et al. on “Earthquake-induced prompt gravity
signals identifed in dense array data in Japan”. Earth Planets Space 71:120.
doi:10.1186/s40623-019-1099-2
Lay T, Ammon C J, Kanamori H, Kim M J, Xue L (2011) Outer trench-slope faulting
and the 2011 Mw 9.0 off the Pacific coast of Tohoku Earthquake. Earth Planets
Space 63:37. doi:10.5047/eps.2011.05.006
Mansinha L, Hayes T (2001) A search for gravitational disturbance from earthquakes. J
Geod Soc Japan 47(1):359–363. doi:10.11366/sokuchi1954.47.359
Matsuo K, Heki K (2011) Coseismic gravity changes of the 2011 Tohoku-Oki
earthquake
from
satellite
gravimetry.
Geophys
Res
Lett
38:7.
doi:10.1029/2011GL049018
Montagner J-P, Juhel K, Barsuglia M, Ampuero J P, Chassande-Mottin E, Harms J,
Whiting B, Bernard P, Clévédé E, Lognonné P (2016) Prompt gravity signal
induced by the 2011 Tohoku-Oki earthquake. Nat. Commun 7:13349.
doi:10.1038/ncomms13349
100
Müller G (1977) Earth-flattening approximation for body waves derived from geometric
ray theory improvements, corrections and range of applicability. J Geophys
42:429–436.
Müller G (1985) The reflectivity method: A tutorial. J Geophys 58:153–174.
Obara K, Kasahara K, Hori S, Okada Y (2005) A densely distributed high-sensitivity
seismograph network in Japan: Hi-net by National Research Institute for Earth
Science
and
Disaster
Prevention.
Rev
Sci
Instrum
76:021301.
doi:10.1063/1.1854197
Press W H, Teukolsky S A, Vetterling W T, Flannery B P (1992) Numerical recipes in C:
the art of scientific computing 2nd edn. Cambridge Univ. Press, Cambridge, U.K
Rubin D B (1981) The Bayesian Bootstrap. Ann Stat 9(1):130–134.
Shimoda T, Juhel K, Ampuero J P, Montagner J-P, Barsuglia M (2020) Early earthquake
detection capabilities of different types of future-generation gravity gradiometers.
Geophys J Int 224(1):533–542. doi:10.1093/gji/ggaa486
Shiomi K (2012) New measurements of sensor orientation at NIED Hi-net stations. Rep
NIED 80:1–20. doi:10.24732/nied.00001219 (in Japanese with English abstract)
Shiomi K, Obara K, Aoi S, Kasahara K (2003) Estimation on the azimuth of the Hi-net
and
KiK-net
borehole
seismometers.
Zisin2
56:99–110.
doi:10.4294/zisin1948.56.1_99 (in Japanese)
Shoda A, Ando M, Ishidoshiro K, Okada K, Kokuyama W, Aso Y, Tsubono K (2014)
Search for a stochastic gravitational-wave background using a pair of torsion-bar
antennas. Phys Rev D 89(2):27101. doi:10.1103/PhysRevD.89.027101
Stein S, Wysession M (2003) An introduction to seismology, earthquakes, and earth
structure. Blackwell Publication, Malden, MA
101
Takamoto M, Ushijima I, Ohmae N, Yahagi T, Kokado K, Shinkai H, Katori H (2020)
Test of general relativity by a pair of transportable optical lattice clocks. Nat
Photonics 14:411–415. doi:10.1038/s41566-020-0619-8
Tonegawa T, Hirahara K, Shibutani T, Shiomi K (2006) Upper mantle imaging beneath
the Japan Islands by Hi-net tiltmeter recordings. Earth Planets Space 58(8):1007–
1012. doi:10.1186/BF03352605
Tsai V C, Hayes G P, Duputel Z (2011) Constraints on the long‐period moment‐dip
tradeoff for the Tohoku earthquake. Geophys Res Lett 38(7):L00G17.
doi:10.1029/2011GL049129
Ushijima I, Takamoto M, Das M, Ohkubo T, Katori H (2015) Cryogenic optical lattice
clocks. Nat Photon 9:185–189. doi:10.1038/nphoton.2015.5
Vallée M, Ampuero J P, Juhel K, Bernard P, Montagner J-P, Barsuglia M (2017)
Observations and modeling of the elastogravity signals preceding direct seismic
waves. Science 358:1164–1168. doi:10.1126/science.aao0746
Vallée M, Juhel K (2019) Multiple observations of the prompt elastogravity signals
heralding direct seismic waves. J Geophys Res Solid Earth 124 (3):2970–2989.
doi:10.1029/2018JB017130
Wang L, Shum C K, Jekeli C (2012) Gravitational gradient changes following the 2004
December 26 Sumatra–Andaman Earthquake inferred from GRACE. Geophys J
Int 191(3): 1109–1118. doi:10.1111/j.1365-246X.2012.05674.x
Wang L, Shum C K, Simons F J, Tassara A, Erkan K, Jekeli C, Braun A, Kuo C, Lee H,
Yuan D (2012) Coseismic slip of the 2010 Mw 8.8 Great Maule, Chile, earthquake
quantified by the inversion of GRACE observations. Earth planet Sci Lett 335:
167–179. doi:10.1016/j.epsl.2012.04.044
102
Wei S, Graves R, Helmberger D, Avouac J-P, Jiang J (2012) Sources of shaking and
flooding during the Tohoku-Oki earthquake: a mixture of rupture styles. Earth
Planet Sci Lett 333–334:91–100. doi:10.1016/j.epsl.2012.04.006
Zhang S, Wang R, Dahm T, Zhou S, Heimann S (2020) Prompt elasto-gravity signals
(PEGS) and their potential use in modern seismology. Earth planet Sci Lett
536:116150. doi:10.1016/j.epsl.2020.116150
103
Supplement
— Template waveforms of three-component pre-P gravity signal and gravity potential
for
➢ strike slip events (strike = 0°, dip = 90°, rake = 0°, depth = 20 km, Mw = 9 or
8) and
➢ dip slip events (strike = 180°, dip = 15° or 30°, rake = 90°, depth = 20 km, Mw
= 9 or 8)
calculated by the simulation method of Zhang et al. (2020). The moment rate
function and rupture duration were determined in the same way as in Chapter 4.
Observation stations locate at 𝜃 = 0°, 15°, 30°, 45°, 60°, 75°, 90°, 105°, 120°, 135°,
150°, 165°, or 180° and Δ = 1°, 3°, 10°, or 30°. Here, 𝜃 is the azimuth measured
from east to north, and Δ is the angular distance. The 0.15-Hz 6-pole low-pass
causal Butterworth filter was applied to the waveforms.
— Results of the preliminary analysis to search for pre-P elastic strain in the data
recorded by the 100-m-long laser strainmeter at Kamioka (Araya et al. 2007).
➢ Background noise spectra of the linear (𝑢𝑥,𝑥 ) and shear ((𝑢𝑦,𝑦 − 𝑢𝑥,𝑥 )/2 )
strains at the Kamioka strainmeter. The time window is 1 h between 04:40 and
05:40 UTC before the 2011 Tohoku-Oki event. Here, 𝑥 and 𝑦 axes are taken
eastward and northward, respectively.
➢ Comparison of the recorded strains and synthetic ones calculated by the
simulation method of Zhang et al. (2020) before the P-wave arrival from the
104
2011 Tohoku-Oki earthquake. The 0.01-Hz 2-pole high-pass and 0.05-Hz 6pole low-pass causal Butterworth filters were applied to both waveforms.
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
...