The 1994 Shikotan Earthquake Tsunamis

Yeh, Harry; Titov, Vasily V.; Gusiakov, V. K.; Pelinovsky, Efim; Khramushin, Vasily; Кайстренко, В. М.

doi:10.1007/978-3-0348-7279-9_26

Cited by 20 publications

(11 citation statements)

References 15 publications

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“…Subsidence of 53 cm of Shikotan Island, which is the closest island to the epicenter, was also observed [Yeh et al, 1995]. The vertical and horizontal displacement are computed using Okada's [1985] formulas and compared with the observations.…”

Section: Geodetic Analysismentioning

confidence: 99%

The great Kurile Earthquake of October 4, 1994 tore the slab

Tanioka

Ruff

Satake

1995

Geophysical Research Letters

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The fault geometry, depth, and slip distribution of the Kurile earthquake of Oct. 4, 1994 are estimated using seismic waveforms, aftershock distribution, geodetic measurements, and tsunami waveforms. Previous large earthquakes in the Kurile arc had typical underthrusting focal mechanisms due to the local subduction. Seismic wave inversions of the 1994 event indicate a thrust type mechanism with a large strike‐slip component. This does not represent an underthrust event at the subduction interface. The focal depth is estimated at 50 km, just beneath the previously estimated subduction interface. We calculate crustal deformation and tsunami waveforms from the two possible fault planes of the focal mechanism solution and find that both fault planes explain the observations. We choose the north‐south striking plane, because of the occurrence of a large (Mw 7.8) intermediate‐depth earthquake on Dec. 6, 1978, northwest of the 1994 rupture area. The lineation of aftershock distributions of these two events suggests that both earthquakes were due to a tearing of the slab perpendicular to the trench. The joint inversion of geodetic and tsunami data shows that the largest slip, about 17 m, occurred at the upper end of the slab.

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Section: Geodetic Analysismentioning

confidence: 99%

The great Kurile Earthquake of October 4, 1994 tore the slab

Tanioka

Ruff

Satake

1995

Geophysical Research Letters

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“…NOAA's Method of Splitting Tsunamis (MOST) numerical model (Titov and González, 1997;Titov and Synolakis, 1995; is utilized for the development of the SIFT forecasting scheme. This model has been extensively tested against a number of laboratory experiments and was successfully used for many historical tsunami simulations (Bourgeois et al, 1999;Titov and Synolakis, 1995;1996;Yeh et al, 1995). Several research groups around the world now use MOST for tsunami mitigation programs.…”

Section: Modelingmentioning

confidence: 99%

Real-Time Tsunami Forecasting: Challenges and Solutions

Titov¹,

González²,

Mofjeld³

et al.

Developing Tsunami-Resilient Communities

125

132

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Abstract.A new method for real-time tsunami forecasting will provide NOAA's Tsunami Warning Centers with forecast guidance tools during an actual tsunami event. PMEL has developed the methodology of combining real-time data from tsunameters with numerical model estimates to provide site-and event-specific forecasts for tsunamis in real time. An overview of the technique and testing of this methodology is presented.

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“…We consider the Cauchy problem with zero initial data for a 2D wave equation with variable velocity and with right-hand side localized near the origin in space and decaying in time. One physical interpretation of this problem is that it describes, in the linear approximation, the propagation of tsunami waves generated by local vertical displacements of the ocean bottom (see [4][5][6][7][8][9][17][18][19] and also [11][12][13][14][15][16] and the bibliography therein). Normally, the diameter of the region where these displacements occur (some tens to a hundred of kilometers) is much smaller than the distance traveled by the waves (thousands of kilometers), and their ratio, µ, can serve as a small parameter.…”

Section: Introductionmentioning

confidence: 99%

“…The transient part of the solution is given by a formula similar to those for the equivalent source functions with the only difference that the function f (ξ) additionally depends on time as a parameter. The transient part is apparently not so important in tsunami wave analysis, but nevertheless it might be useful from the viewpoint of satellite registration of tsunami waves [17][18][19]. Since, as was mentioned above, the asymptotic formulas for the solution of the Cauchy problem with localized initial data for the homogeneous wave equation are already known from [11][12][13][14][15][16], we see that the only remaining thing is to compute f (L)v for all these functions f (ξ).…”

Section: Introductionmentioning

confidence: 99%

Functions of Noncommuting Operators in an Asymptotic Problem for a 2D Wave Equation with Variable Velocity and Localized Right-hand Side

Dobrokhotov

Миненков

Назайкинский

et al. 2012

Operator Theory, Pseudo-Differential Equations, and Mathematical Physics

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In the present paper, we use the theory of functions of noncommuting operators, also known as noncommutative analysis (which can be viewed as a far-reaching generalization of pseudodifferential operator calculus), to solve an asymptotic problem for a partial differential equation and show how, starting from general constructions and operator formulas that seem to be rather abstract from the viewpoint of differential equations, one can end up with very specific, easy-to-evaluate expressions for the solution, useful, e.g., in the tsunami wave problem.2010 Mathematics Subject Classification. Primary 35L05; Secondary 81Q20, 35Q35.

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The 1994 Shikotan Earthquake Tsunamis

Cited by 20 publications

References 15 publications

The great Kurile Earthquake of October 4, 1994 tore the slab

The great Kurile Earthquake of October 4, 1994 tore the slab

Real-Time Tsunami Forecasting: Challenges and Solutions

Functions of Noncommuting Operators in an Asymptotic Problem for a 2D Wave Equation with Variable Velocity and Localized Right-hand Side

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