Correlation between the intensity of tsunami in the Black Sea and the magnitude of underwater earthquakes

We perform the analysis of tsunami waves in the shelf zone of the Crimean peninsula generated by underwater earthquakes whose epicentres are located near the lower boundary of the continental slope. For this purpose, we use a one-dimensional nonlinear dissipative numerical model of long waves. The investigated distributions of the depth of the basin correspond to four points of the south coast of the Crimean peninsula. We use the empirical dependences of parameters of the sources of tsunami waves on the magnitude of the earthquake obtained earlier for the Pacific Ocean. It is shown that the height, vertical climb, and duration of tsunami waves increase with the magnitude of the earthquake. For equal magnitudes of the earthquake, the highest tsunamis on the south coast of the Crimea are observed between Alushta and Yalta. We also deduced a generalized regression dependence of the height of tsunami waves near the coast on the magnitude of the earthquake. Translated by Peter V. Malyshev and Dmitry V. Malyshev     

A global barotropic ocean model driven by synoptic atmospheric disturbances for detecting seafloor vertical displacements from in situ ocean bottom pressure measurements

A global barotropic ocean model forced by atmospheric disturbances is developed for the detection of seafloor vertical displacements from in situ ocean bottom pressure (OBP) data. The model accuracy is validated by deep-sea OBP data at more than 100 sites obtained over the global ocean. Parameters and boundary conditions including the horizontal resolution incorporated in the ocean model are tested in order to accurately simulate the nontidal (>2 days) OBP variations. The horizontal resolution is found to the factor that most significantly affects the simulated result. The finer the horizontal resolution applied, the smaller the model variability is. The model accuracy is highest when the horizontal resolution is 1/12°, but deteriorates when the horizontal resolution is finer than 1/12°. This may indicate a failure of the energy dissipation parameterization in the barotropic ocean model. Using the developed 1/12° model, the root-mean-square of the observed nontidal OBP component can be reduced by 18 % as an average of all the OBP data used. It is found that the 1/12° model is useful for the detection of a slow seafloor vertical displacement of centimeters related to the 2011 Tohoku-Oki earthquake from in situ OBP records near the hypocenter of the earthquake.     

基于射线理论的海脊俘获波机制

虽然众多现场实测资料和数值模拟均表明海脊可以俘获海啸波并引导其传播至远场地区，带来严重的灾害，但少有研究阐述其产生机理。本文基于射线理论，推导了指数型海脊上波浪传播轨迹的理论解，并提出了震源位于海脊顶部的海啸被海脊完全俘获的条件。基于该俘获条件进一步给出了海脊对海啸俘获效率的表达式，用以评估海啸中被海脊俘获影响至远场的能量占海啸总能量的比例。     

The generating mechanisms of the August 17, 1999 İzmit bay (Turkey) tsunami: Regional (tectonic) and local (mass instabilities) causes

The M_W = 7.4 earthquake that affected the northwestern part of Turkey on August 17, 1999, and in particular the gulf of İzmit, had dramatic consequences also as regards tsunami generation. The main cause of the earthquake was a dextral strike-slip rupture that took place along different segments of the western part of the North Anatolian Fault (WNAF). The rupture process involved not only a number of distinct strike-slip fault segments, but also dip-slip ancillary faults, connecting the main transcurrent segments. The general picture was further complicated by the occurrence of subsidence and liquefaction phenomena, especially along the coasts of the İzmit bay and in the Sapanca Lake. Tsunami effects were observed and measured during post-event surveys in several places along both the northern and the southern coasts of the bay. The run-up heights in most places were reported to lie in the interval 1–3 m: but in the small town of Değirmendere, where a local slump occurred carrying underwater buildings and gardens of the waterfront sector, eyewitnesses reported water waves higher than 15 m.The purpose of this work is to investigate on the causes of the tsunami by means of numerical simulations of the water waves. We show that the tsunami was a complex event consisting at least of the combination of a regional event due to tectonic causes and of a local event associated with the mass failure. As to the first, we are able to demonstrate that the observed tsunami cannot be explained only in terms of the sea bottom dislocation produced by the main right-lateral dislocation, but that the prominent contribution comes from the displacement associated with the secondary shallow normal faults. Furthermore, the large waves and effects seen in Değirmendere can be explained as the consequence of the slump. By means of a stability analysis based on an original method making use of the limit equilibrium concept, we show that the slump was highly stable before the earthquake and that it was triggered by seismic waves. Simulation of the tsunami induced by the slump was carried out by a two-step numerical code that computes the landslide motion first, and then the generated water wave propagation. It is shown that the computed local tsunami matches the experimental data.     

Numerical modelling of the tsunami generation process by the moving sea bottom displacement

The process of tsunami generation by the moving horizontal bottom displacement is studied numerically. The influence produced by the displacement rate and the range of the run on the parameters of the wave generated is studied. A comparison with the results derived using the linear theory of long waves is made.Translated by Mikhail M. Trufanov.     

Effect of the Bottom Topography on Tsunami Propagation in the East （Japan） Sea

A study of tsunami events in the East （Japan） Sea using continuous Galerkin finite element model, aiming at reproducing tsunami waves generated by underwater earthquakes in 1983 and 1993 respectively has been performed focusing on the geographic extent of a topographic feature in the East （Japan） Sea. Numerical models can be the proper tools to study the combined effects of realistic topography. Subsequently, using the FEM based two-dimensional model we have simulated the smoothed and flattened topographic effects by removal of Yamato Rise and seamounts for the cases of tthe 1983 Central region earthquake tsunami and the 1993 southwestern Hokkaido earthquake tsunami. The results have shown that there will be higher tsunamis along the eastern coasts of Korea in general except some areas, like Sokcho with removal of topographic highs, thus providing complicated bottom topography of the East （Japan） Sea as effective tsunami energy scattering.     

An investigation of tsunami source mechanism off the coast of central Peru

The source mechanism of the tsunami generated by the earthquake of 17 October, 1966 off the coast of central Peru was inferred by studying the seismic and oceanic phenomena associated with this event. The seismic mechanism was deduced from geologic structure, seismic intensities, energy releases, spatial distribution of aftershocks, and fault-plane solutions. Using this information and empirical relationships of seismic parameters, the fault length, azimuthal orientation of the tsunamigenic area, and initial tsunami height, were obtained. From the tsunami arrival times at selected stations and from a reverse wave-refraction technique, the limits of the tsunami-generating area were estimated. Using these source dimensions, an estimate of the tsunami energy was obtained. The spatial distribution of aftershocks associated with the main earthquake and the earthquake strain-release pattern correlated well with known seismotectonic trends and the seismic-velocity structure anomalies which are characteristic of thrust fault systems at continent-ocean boundaries. The investigation revealed that the tsunamigenic area was on the continental shelf off Peru, northwest of Lima, in the western part of an active seismic belt between the Andean Mountain block and the Peru-Chile trench. This area is considered to be one of three distinct seismic zones in the Peruvian upper mantle and has been responsible for a number of tsunamigenic earthquakes within recorded history. The aftershock distribution and strain-release patterns suggest that the earthquake fault was a seaward extension of a fault system which has a pronounced surface expression in the Tertiary formations of the area near Ancon, Peru. The limits of the tectonic displacements and the tsunami-generating area were determined by a reverse wave-refraction method, refracting waves from Chimbote, Callao-Lima, San Juan, and Honolulu. The investigation revealed that the tsunami was generated by displacements of crustal blocks with a total area of 13,000 sq. km. Seismic and water motion data indicated that the uplifted portion of the crustal block was on the continental side of the rift. The energy of the main earthquake was estimated to be 1.122·10²³ ergs. The energy of the aftershocks was estimated to be 2.357·10²⁰ ergs. The tsunami energy was calculated to be 6.8·10¹⁹ ergs, or $\text{1}\text{1,650}$ of the earthquake energy.     

A New Class of Edge Baroclinic Waves and the Mechanism of Their Generation

Edge baroclinic waves are generated in a geostrophic flow with a vertical shear near a solid surface. The study investigates a new class of baroclinic waves in flows with horizontal and vertical shears and a linear distribution of potential vorticity. It is shown that taking account of the horizontal shear leads to the appearance of new features of wave dynamics. These include the nonmodal growth of energy in the initial stage of development, the time dependence of the vertical wave scale, and the possibility of generation of stationary or blocked waves. The horizontal shear makes the mechanism of generation of baroclinic waves by initial vortex perturbations more efficient. One important feature is associated with vortex paths, which are formed by the superposition of a baroclinic wave on the flow with horizontal shear.     

东海陆架及邻区新构造运动特征

东海位于大陆板块与大洋板块接合部位,受两大板块活动的影响,新构造期海域活动强烈。我们结合最新收集资料文献,从地形地貌、地热异常、断块体的水平位移和垂直差异升降、活动断裂、地震活动及岩浆岩活动等方面,着重论述了东海陆架及邻区的新构造运动特征。为东海海域新构造分区、地震预测、区域稳定性评价等提供若干资料及依据。     

Generating interface waves using a freely falling, instrumentedsource

In recent years, interface waves such as the Scholte wave have become important tools in the study of the geoacoustic properties of near-bottom seafloor sediments. Traditionally, these waves have been generated by explosive or pneumatic sources deployed at or near the seafloor and monitored by ocean-bottom seismographs or geophone arrays. While these sources generate the requisite interface waves, they also produce higher frequency compressional waves in the water and sediment that tend to contaminate the surface wave and make inversion of the data difficult in the near field. In this paper, a new source consisting of a freely falling projectile instrumented with an accelerometer is described. When the projectile impacts the bottom, the exact time history of the vertical force applied to the sediment is known and therefore may be convolved with the transfer function of a sediment geoacoustic model to produce accurate synthetic seismograms. Moreover, the vertical force applied to the seafloor is very efficient in generating surface wave motion while producing very little compressional wave energy so that the near-field signals are much more easily analyzed. An example of the use of the new source is presented including inversion of the received signals to obtain shear-wave velocity and attenuation as a function of depth in the near bottom sediments at a shallow-water site     

Residual hydrodynamic fields after tsunami generation by an earthquake

The linear theory of long waves was applied to study horizontal motions of the water layer in a rotating ocean which appear after tsunami generation by an earthquake. The structures of residual potential and eddy fields are analyzed on the basis of the analytical solution of a model axisymmetric problem for an ocean of constant depth. The estimates of the horizontal displacements of water particles, velocity of the eddy current, and energy of the geostrophic eddy are calculated for typical conditions of the tsunami source. Particular features of the residual fields related to the existence of stable stratification are considered. Static and dynamic numerical models are described that allow us to calculate the residual potential field and its evolution related to the realistic events. The field of residual horizontal displacements of water particles for the catastrophic earthquake near the coasts of Japan on March 11, 2011, is calculated and analyzed.     

2017年9月8日墨西哥沿岸Mw8.2级地震海啸观测数据分析与模拟

2017年9月8日4时49分（UTC），墨西哥瓦哈卡州沿岸海域（15.21°N，93.64°W）发生M_w8.2级地震，震源深度30 km。强震在该海域引发海啸，海啸对震源附近数百千米范围内造成了严重影响。位于太平洋上的多个海啸监测网络捕捉到了海啸信号并详细记录了此次海啸的传播过程。本文选用了近场2个DART浮标和6个验潮站的水位数据，通过潮汐调和分析和滤波分离出海啸信号，对近场海啸特征值进行了统计分析，并采用小波变换分析方法进一步分析了海啸的波频特征。基于Okada弹性位错理论断层模型计算得到了强震引发的海底形变分布，并采用MOST海啸模式对本次海啸事件近场传播特征进行了模拟，模拟结果与观测吻合较好。最后，基于实测和模拟结果，详细分析了此次地震海啸的近场分布特征，发现除受海啸源的强度和几何分布特征影响外，近岸海啸波还主要受地形特征控制，在与特定地形相互作用后波幅产生放大效应，会进一步加剧海啸造成的灾害。     

Relatioship between the intensity of tsunami and the location of the epicentre of underwater earthquakes near the continental slope of the South Coast of Crimea

Within the framework of the nonlinear theory of one-dimensional long waves, we performed the numerical analysis of the dependence of the intensity of tsunami on the shelf of the South Coast of Crimea on the location of the epicentre of underwater earthquakes near the continental slope of the basin. The calculations were carried out for the parameters of the model corresponding to the Yalta tsunami of September 12, 1927. It is shown that, for the same magnitude of the earthquake, the smaller the distance from its epicentre to the coastal line, the lower tsunami waves in the coastal zone and the smaller their vertical run-up. Translated by Peter V. Malyshev and Dmitry V. Malyshev     

Trapping mechanism of submerged ridge on trans-oceanic tsunami propagation

Based on the linear shallow water equations,an analytic solution of trapped waves over a symmetric parabolicprofile submerged ridge is derived.The trapped waves act as propagating waves along the ridge and as standing waves across the ridge.The amplitude gets the maximum at the ridge top and decays gradually towards both sides.The decaying rate gets more gently with higher modes.Besides,an explicit first-order approximate dispersion relation is derived to simplify transcendental functions in the exact solution,which is useful to describe trapped waves over shallowly submerged ridges in reality.Furthermore,the trapping mechanism of the submerged ridge waveguides on the trans-oceanic tsunami propagation can be explained by the ray theory.A critical incident angle exists as a criterion to determine whether the wave is trapped.Besides,a trapped parameter γ is proposed to estimate the ratio of the energy trapped by the oceanic ridge if a tsunami is generated at its top.     

“3.11”日本地震海啸及南海和琉球群岛假想地震海啸对福建近海影响的数值模拟

福建地处西北太平洋沿岸,在环太平洋地震带附近,是海啸灾害潜在风险区.＂3.11＂日本地震海啸,福建沿岸验潮站就监测到其海啸波.利用CTSU地震海啸数值模式,模拟了＂3.11＂日本地震海啸对福建近海的影响,模拟结果与实况较吻合.同时,利用该数值模式模拟分析了可能来自于琉球群岛和南海附近海域的地震海啸对福建近海的影响,分析表明,如果在琉球群岛海域（28.0°N,129.0°E）发生8.8级地震,引发的海啸波将在4.5 h左右抵达福建北部海岸,最大海啸波幅可达2 m;如果在马尼拉海沟附近海域（17.5°N,119.0°E）发生8.8级地震,引发的海啸波将在4 h左右抵达福建南部海岸,最大海啸波幅可达3 m,均会给福建沿海地区带来灾害性影响.为此,本文亦针对性提出了防范地震海啸的一些措施与建议,为福建省海洋防灾减灾提供参考.     

The possibility of tsunami in the Sea of Okhotsk caused by deep-focus earthquakes

The earthquake that occurred on May 24, 2013, in the basin of the Sea of Okhotsk with a magnitude of 8.3 was the strongest in this region. We have modeled a possible tsunami caused by such an earthquake. The simulations confirm that the wave heights were sufficiently small because the earthquake epicenter depth was 640 km. We analyze the oscillations of the DART buoys in the vicinity of the earthquake source and show that they were not associated with the tsunami waves. Analysis of the available pressure gauge records at different points of the Sea of Okhotsk show that only in one case (Iturup Island) can the observed oscillations of the sea level with a height of approximately 4 cm be classified as tsunami waves.     

Impacts of the 26 December 2004 tsunami in Eastern Africa

The tsunami of 26 December 2004 was the largest ever recorded in the Indian Ocean, triggered by the 3rd largest earthquake in 100 years measuring 9.2 moment magnitude. The epicenter of the earthquake was off Banda Aceh on the Indian Ocean coast of the island of Sumatra in Indonesia, centered at 3.316°N, 95.854°E. A sudden upward movement of the seafloor that averaged ∼6 m occurred along almost 1300 km of the north-east Indian Ocean plate at 0059 Coordinated Universal Time (UTC) and lasted 8 min. Because of the lack of preparedness and absence of warning systems in the Indian Ocean the tsunami spread silently across the ocean over a span of 8 h causing massive destruction including the deaths of over 250,000 people, with maximum damages occurring in Indonesia, Thailand, Sri Lanka, India and the Maldives. Moderate to low damages were recorded in the Seychelles, Socotra (Yemen) and Somalia, though in the latter a highly vulnerable town was impacted resulting in over 300 deaths. Most of eastern Africa was spared massive damages from the waves due to (a) distance from the epicenter (>6000 km), (b) the dissipation of energy of the tsunami by shallow banks in the middle of the Indian Ocean (the Seychelles banks, Saya de Malha and Cargados Carajos Shoals) and (c) at least for Kenya and Tanzania, the first and largest waves hit at low tide. In Kenya and Tanzania these factors resulted in the waves being experienced as tidal surges of 1–1.5 m amplitude lasting 5–10 min. Damages recorded for eastern Africa include 11 deaths in Tanzania and 1 in Kenya, of people walking and swimming over shallow intertidal flats being trapped by the advancing and receding tidal surges, damage to boats anchored in shallow water and inundation in Mauritius and Rodrigues. Official information, warning and response networks were nonexistent, and even when an official response was generated in Kenya the public demonstrated no faith or willingness to act on warnings from officials such as the police. Importantly, information on the tsunami and the generation of an official response was dependent on two technologies, satellite television and mobile telephony, and these should be built into future warning systems as key mechanisms and backups to official information and warning networks.     

海底多金属硫化物自然电位观测方式研究

利用海洋自然电位法可以探测海底多金属硫化物矿体的位置和轮廓。在调查过程中，可以进行水平观测和垂直观测，本文对这两种观测方式的探测效果进行数值模拟分析，结果表明垂直观测异常大，对矿体的横向分辨率高。但在进行垂直观测时，电极离底低，工作风险大。所以在实际调查过程中，需要根据需求选择合适的观测方式。另外，在实际测量过程中，电极对会偏离垂直方向和水平方向，将导致异常结果发生变化，因此在数据资料处理与解释过程中要注意。本文可以为海底多金属硫化物自然电位调查提供参考。     

Seismic and Meteorological Tsunami Contributions in the Manzanillo and Cabo San Lucas Seiches of September 14, 1995

Seismic generated sea waves from the September 14, 1995, Mexico earthquake are favored over the waves generated by hurricane Ismael to be the cause of the increase in seiche amplitudes in Manzanillo and Cabo San Lucas tide stations. The arguments are based on travel time computations from the seismic source and the moving meteorological source. A relatively sudden increase in seiche amplitudes is consistent with the arrival time of the seismic tsunami, and previously existent background is likely produced by incoming waves from the hurricane.