Fast Determination of Tsunami Source Parameters

Lavrentiev, Mikhail; Kuzakov, Dmitry; Marchuk, Andrey

doi:10.25046/aj040608

Cited by 6 publications

(12 citation statements)

References 7 publications

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“…The suggested seismic mechanism is similar to the historical tsunamigenic earthquakes at the Nankai-Tokai subduction zone. The initial water surface displacement (taking the same as in [5]) with a maximum elevation of 400 cm and lowest subsidence of −200 cm caused by such an earthquake is presented in Figure 5. The model source was built according to the elastic-plastic model proposed in [17].…”

Section: Parameters Of the Artificial Tsunami Sourcementioning

confidence: 99%

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Hardware Acceleration of Tsunami Wave Propagation Modeling in the Southern Part of Japan

et al. 2020

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In order to speed up the calculation of tsunami wave propagation, the field-programmable gate array (FPGA) microchip is used. This makes it possible to achieve valuable performance gain with a modern regular personal computer. The two half-step MacCormack scheme was used herein for numerical approximation of the shallow water system. We studied the distribution of tsunami wave maximal heights along the coast of the southern part of Japan. In particular, the dependence of wave maximal heights on the particular tsunami source location was investigated. Synthetic 100 × 200 km sources have realistic parameters corresponding to this region. As observed numerically, only selected parts of the entire coast line are subject to dangerous tsunami wave amplitudes. The particular locations of such areas strongly depend on the location of the tsunami source. However, the extreme tsunami heights in some of those areas can be attributed to local bathymetry. The proposed hardware acceleration to compute tsunami wave propagation can be used for rapid (say, in a few minutes) tsunami wave danger evaluation for a particular village or industrial unit on the coast.

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Section: Parameters Of the Artificial Tsunami Sourcementioning

confidence: 99%

“…There are several ways to do it; see [3,4]. Here, we refer to a fast method using an orthogonal decomposition algorithm; see [5]. Then, finally, tsunami wave propagation over the water area under consideration is numerically calculated.…”

Section: Introductionmentioning

confidence: 99%

Hardware Acceleration of Tsunami Wave Propagation Modeling in the Southern Part of Japan

et al. 2020

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“…Для численного моделирования региональных и локальных цунами первоначально необходимо сформировать детальную цифровую батиметрию для исследуемого региона [32]. Для обеспечения численного моделирования обязательно требуются подробные цифровые данные рельефа морского дна [33].…”

Section: обсуждение (Discussion)unclassified

Application of the Spline-Functions Method in Underwater Relief Computer Visualization

Yuyukin¹,

Shipping²

2021

Vestnik GUMRF imeni admirala S. O. Makarova

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It is proposed to consider any movement of a vessel as passage in a three-dimensional navigation space and to identify bathymetric navigation with three-coordinate positioning of the vessel with a visual triaxial representation of the route with a constant indication of the depths field under the ship's keel. The third coordinate is taken into account in the form of a depth mark, which is ignored when sailing on the high seas, but is mandatory in the coastal navigation for the accident-free transit of the vessel in the restricted navigation conditions. A scientific hypothesis about the prospects of mathematical operation of the bathymetric database from the standpoint of the theory of functions approximation is put forward. It is assumed that mathematical modeling of the seabed relief genesis can be effectively implemented on the basis of an adapted hybrid B-spline model with simultaneous display of underwater topography in the electronic mapping system. The expediency of using spline structures in the mathematical support of the on-board computer for creating a realistic synthesized image of the digital model of the bottom is substantiated. A virtual reconstruction of underwater topography is being tested on the basis of our own software developments with the actual refusal to appeal to the foreign applied projects. A three-dimensional computer visualization of a bathymetric chart fragment of the Chatham Strait is performed using the spline approximation method in order to demonstrate the principle operability of the proposed algorithm. It is concluded that when navigating with synchronous representation of bathymetry data, visual safe navigation is provided in conditions of a minimum under keel clearance based on the computer visual effect of the constant positioning of depth. A comparative assessment of methods for creating bathymetric charts is given, and the advantages and disadvantages of each mathematical approach are considered. The aspects of applying the mathematical apparatus of spline functions in the research of the problem of studying natural disasters of the Earth are expanded. The issue of applicability of digital bathymetry for numerical modeling of operational forecast of tsunami propagation is considered. It is assumed that the use of spline functions method in bathymetry will optimally update the planning horizon for creating a new generation of three-dimensional electronic navigational charts.

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“…It should be noted that this will be the guaranteed time in the so-called worst-case scenario, when the epicenter of the earthquake within a given subduction zone will be as far (in terms of wave propagation time) from the sensor system as possible. Until now, this approach of “smart” [ 20 , 21 ] extension of the observation system has unfortunately not been developed.…”

Section: Methodsmentioning

confidence: 99%

“…The procedure of orthogonalization and normalization of discrete synthetic mareograms (in fact, vectors) allows us to find the required set of coefficients in a few seconds, regardless of the number of involved UnSs. Detailed formulae (computationally low cost) for finding the desired coefficients b k could be found in [ 21 ].…”

Section: Methodsmentioning

confidence: 99%

Fundamentals of Fast Tsunami Wave Parameter Determination Technology for Hazard Mitigation

Lavrentiev

Лысаков

Marchuk

et al. 2022

Sensors

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This paper describes two basic elements of the smart technology, allowing us to bring to a new level the problem of early warning and mitigation of tsunami hazards for the so-called near zone events (when a destructive tsunami wave reaches the nearest coast in tens of minutes after the earthquake). The sensors system, installed in a reasonable way (to detect a wave as early as possible), is capable of transmitting the necessary raw data (measured wave profile) in a real time mode to a processing center. The smart (based on mathematical theory) algorithm can reconstruct an actual source shape within a few seconds using just a part of the measured wave record. Using modern computer architectures (Graphic Processing Units or Field Programmable Gates Array) allows computing tsunami wave propagation from the source to shoreline in 1–2 min, which is comparable to the performance of a supercomputer. As is observed, the inundation zone could be evaluated reasonably correctly as the coastal area below two thirds of the tsunami wave height at a particular location. In total, the achieved performance of the two above mentioned algorithms makes it possible to evaluate timely the tsunami wave heights along the coastline to approximate the expected inundation zone, and therefore, to suggest (in case of necessity) evacuation measures to save lives.

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Fast Determination of Tsunami Source Parameters

Cited by 6 publications

References 7 publications

Hardware Acceleration of Tsunami Wave Propagation Modeling in the Southern Part of Japan

Hardware Acceleration of Tsunami Wave Propagation Modeling in the Southern Part of Japan

Application of the Spline-Functions Method in Underwater Relief Computer Visualization

Fundamentals of Fast Tsunami Wave Parameter Determination Technology for Hazard Mitigation

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