Probability distribution of the Murty‐Loomis tsunami magnitude

Abstract

In 1980, Murty and Loomis proposed a new, objective tsunami magnitude scale based on total tsunami energy. A list of 178 tsunamigenic earthquakes during the period 1815 to 1974 was given along with estimated tsunami magnitudes. In this study, we derived the probability distribution function of tsunami magnitudes based on the assumptions that (1) the occurrences of tsunamigenic earthquakes are a Poisson process, and (2) tsunami energy is a polynomial function of tsunami recurrence time. Using the data given by Murty and Loomis, the parameters of the distribution function are estimated. Comparison with the data shows that the derived distribution is a good representation of the distribution of the Murty‐Loomis tsunami magnitude.     

On local probability of invasive tsunami

Abstract

Tsunami occurrence and invasive tsunami at a local area in the circum‐Pacific seismic zone were studied as a Poisson process. The tsunami height at Osaka, Japan, was related to tsunami magnitude. The exceedence frequency of invaded tsunami at Osaka showed a good fitness to the Poisson process. However, an adapted process should be introduced for exceedence frequency of tsunami occurrence in the western Pacific. The exceedence probability of invasive tsunami at Osaka was shown as a function of tsunami magnitude on a diagram with a parameter of the time period. The obtained result might be useful for the planning of coastal area, warning of invasive tsunami, and designing coastal structures as protection within the scope of tsunami economics.     

A two‐parameter scheme for tsunami hazard zoning

Abstract

A necessary stage in calculations for prediction purposes is the study of the tsunami recurrence function

which yields mean recurrence of tsunami with maximum wave height not greater than a specified level h. The major problem in using these functions for prediction purposes is the fact that a well‐grounded approximation of empirical data on wave heights is difficult to obtain, because the mathematical model for prediction is an extrapolation of this function for tsunami heights whose recurrence remains uncertain. We shall show that the natural relation of observable tsunamis statistics to extremum statistics leads to the discovery of at least two and possibly three temporal scale intervals with different tsunami modes. It has also been clarified that for the 10 years < T < 10³ years range of time periods, which is the most important one for tsunami wave height prediction purposes, the tsunami recurrence is described by two parameters: frequency A of occurrence of large tsunamis and coefficient k of wave ampliflcation near the shore. As an example, a diagram of tsunami hazard zoning of the eastern Honshu coast has been plotted.     

Regional long-period magnitude scales and their capabilities for tsunami warning

The tsunami warning system in the Russian Far East employs the medium-period magnitude MS (BB) by Vaniek–Soloviev. However, its use may lead to inadequacies and underestimates for the tsunamigenic potential of an earthquake. Specifically, this can happen in the case of a so-called tsunami–earthquake. This kind of earthquakes with a nonstandard spectrum was revealed by H. Kanamori in 1972. This problem can be overcome by using a magnitude scale that deals with longer period seismic waves. This study develops a technique for determining the magnitudes at regional distances (from 70 to 4500 km) using the amplitudes of surface seismic waves of periods of 40 and 80 s. At distances of 70–250 km, the amplitude of the joint group of shear and surface waves is used. For the new magnitudes designated M _S(40) and M _S(80), experimental calibration curves are constructed using more than 1250 three-component records at 12 stations of the region. The magnitudes are calibrated so as to produce an unbiased estimate of the moment magnitude M _w in the critical range 7.5–8.8. The rms error of the single-station estimate M _w is around 0.27. At distances below 250 km and M _w ≥ 8.3, the estimate of M _w obtained by the proposed technique becomes saturated at the level of M _w ~ 8.3, which is acceptable for operative analysis because no missed alarms arise. The technique can be used in operational tsunami warning based on seismological data. This can markedly decrease the number of false alarms.     

2016年全球地震海啸监测预警与数值模拟研究

回顾了国家海洋环境预报中心(国家海洋局海啸预警中心)2016年全球地震海啸监测预警的总体状况, 并基于震源生成模型和海啸传播数值模型的计算结果详细介绍了几次主要海啸事件及其影响特性。2016年全年国家海洋环境预报中心总共对全球6.5级(中国近海5.5级)以上海底地震响应了45次,发布海啸信息81期, 没有发生对我国有明显影响的海啸。结合精细化的数值模拟结果和浮标监测数据,重点介绍了苏门达腊7.8级地震海啸、厄瓜多尔7.8级地震海啸、新西兰7.1级和7.8级地震海啸, 以及所罗门7.8级地震海啸的波动特征和传播规律, 模拟结果与实测海啸波符合较好。针对厄瓜多尔7.8级地震海啸事件, 本文比较分析了均匀断层模型和多源有限断层模型对模拟结果的影响; 针对新西兰7.1级地震海啸, 探讨了色散效应对海啸波在大水深、远距离传播过程的影响规律。     

精细化地震海啸波流实时预警系统研究与应用

基于Okada模型和非线性浅水波模型,结合高精度多层嵌套网格针对我国浙江沿海的温州和台州地区建立了越洋–近海–局部的精细化地震海啸波流实时预警系统,近岸的分辨率为900 m。该预警系统包括了并行化的数值计算模块,基于Python 2D绘图库的计算结果可视化处理模块,以及通过Python语言将所有经过数值计算的图形与动画产品集成在一个网页上的产品集成模块。一旦地震发生,该系统可根据地震的震源参数信息在10 min内完成数值计算、可视化处理,以及产品集成。选取2011年日本东北9.0级地震海啸结合实测数值对该系统进行模拟验证,进一步应用该系统模拟计算了日本南海海槽和琉球海沟潜在极端海啸的影响规律。结果表明,该预警系统可有效地提高地震海啸实时预警的时效性和准确度,为海啸的预警、减灾,以及辅助决策提供科学依据。     

2015年9月16日智利Mw 8.3级地震:海啸波从近场到远场的特征分析

On September 16, 2015, an earthquake with magnitude of M_w 8.3 occurred 46 km offshore from Illapel, Chile,generating a 4.4-m local tsunami measured at Coquimbo. In this study, the characteristics of tsunami are presented by a combination of analysis of observations and numerical simulation based on sources of USGS and NOAA. The records of 16 DART buoys in deep water, ten tidal gauges along coasts of near-field, and ten coastal gauges in the far-field are studied by applying Fourier analyses. The numerical simulation based on nonlinear shallow water equations and nested grids is carried out to provide overall tsunami propagation scenarios, and the results match well with the observations in deep water and but not well in coasts closed to the epicenter. Due to the short distance to the epicenter and the shelf resonance of southern Peru and Chile, the maximum amplitude ranged from 0.1 m to 2 m, except for Coquimbo. In deep water, the maximum amplitude of buoys decayed from9.8 cm to 0.8 cm, suggesting a centimeter-scale Pacific-wide tsunami, while the governing period was 13–17 min and 32 min. Whereas in the far-field coastal region, the tsunami wave amplified to be around 0.2 m to 0.8 m,mostly as a result of run-up effect and resonance from coast reflection. Although the tsunami was relatively moderate in deep water, it still produced non-negligible tsunami hazards in local region and the coasts of farfield.     

Assessment of tsunami hazard for coastal areas of Shandong Province,China

Shandong province is located on the east coast of China and has a coastline of about 3100 km. There are only a few tsunami events recorded in the history of Shandong Province, but the tsunami hazard assessment is still necessary as the rapid economic development and increasing population of this area. The objective of this study was to evaluate the potential danger posed by tsunamis for Shandong Province. The numerical simulation method was adopted to assess the tsunami hazard for coastal areas of Shandong Province. The Cornell multi-grid coupled tsunami numerical model (COMCOT) was used and its efficacy was verified by comparison with three historical tsunami events. The simulated maximum tsunami wave height agreed well with the observational data. Based on previous studies and statistical analyses, multiple earthquake scenarios in eight seismic zones were designed, the magnitudes of which were set as the potential maximum values. Then, the tsunamis they induced were simulated using the COMCOT model to investigate their impact on the coastal areas of Shandong Province. The numerical results showed that the maximum tsunami wave height, which was caused by the earthquake scenario located in the sea area of the Mariana Islands, could reach up to 1.39 m off the eastern coast of Weihai city. The tsunamis from the seismic zones of the Bohai Sea, Okinawa Trough, and Manila Trench could also reach heights of >1 m in some areas, meaning that earthquakes in these zones should not be ignored. The inundation hazard was distributed primarily in some northern coastal areas near Yantai and southeastern coastal areas of Shandong Peninsula. When considering both the magnitude and arrival time of tsunamis, it is suggested that greater attention be paid to earthquakes that occur in the Bohai Sea. In conclusion, the tsunami hazard facing the coastal area of Shandong Province is not very serious; however, disasters could occur if such events coincided with spring tides or other extreme oceanic conditions. The results of this study will be useful for the design of coastal engineering projects and the establishment of a tsunami warning system for Shandong Province.     

Modeling the near-field effects of the worst-case tsunami in the Makran subduction zone

As a first step towards the development of inundation maps for the northwestern Indian Ocean, we simulated the near-field inundation of two large tsunami in the Makran subduction zone (MSZ). The tsunami scenarios were based on large historical earthquakes in the region. The first scenario included the rupture of about 500 km of the plate boundary in the eastern MSZ, featuring a moment magnitude of M_w 8.6. The second scenario involved the full rupture of the plate boundary resulting from a M_w 9 earthquake. For each scenario, the distribution of tsunami wave height along the coastlines of the region is presented. Also, detailed runup modeling was performed at four main coastal cities in the region for the second scenario. To investigate the possible effect of splay fault branching on tsunami wave height, a hypothetical splay fault was modeled which showed that it can locally increase the maximum wave height by a factor of 2. Our results showed that the two tsunami scenarios produce a runup height of 12-18 m and 24-30 m, respectively. For the second scenario, the modeled inundation distance was between 1 and 5 km.     

Relevance of Bathymetry for Tsunami Run‐up Modeling

Abstract

Marine positioning is relevant for several aspects of tsunami research, observation, and prediction. These include accurate positioning of instruments on the ocean bottom for determining the deep‐water signature of the tsunami, seismic observational setups to measure the earthquake parameters, equipment to determine the tsunami characteristics during the propagation phase, and instruments to map the vertical uplift and subsidence that occurs during a dip‐slip earthquake.

In the accurate calculation of coastal tsunami run‐up through numerical models, accurate bathymetry is needed, not only near the coast (for tsunami run‐up) but also in the deep ocean (for tsunami generation and propagation). If the bathymetry is wrong in the source region, errors will accumulate and will render the numerical calculations inaccurate. Without correct and detailed run‐up values on the various coastlines, tsunami prediction for actual events will lead to false alarms and loss of public confidence.     

On the numerical modeling of tsunami wave generation and propagation

Abstract

In this article three main stages of tsunami wave evolution are investigated. At first, the development of disturbances from a given patched elevation of the bottom surface in an incompressible nonviscous fluid of the uniform depth is considered. Then, a tsunami wave diffraction by underwater bottom elevation or cavity is investigated. In this case the shallow water equations are already used, and it is supposed that a cylindrical wave is spread from patched water elevation over the epicentrum. Last, the tsunami propagation and transformation in a shallow water region and its run‐up on a beach are investigated on the basis of the improved shallow water theory, taking into consideration the nonlinear and dispersive terms of higher order. The proposed theory is tested in a problem of collisions of two solutions. Solutions of the first and the second problems are obtained by the method of integral Laplace's transformation with following numerical inversion of transformations. A finite difference method for a solution of the last problem is used.     

The Huelva (Spain) Tsunami-Ready Station and Its Interaction with Storm Emma (March 2018)

Abstract

The sea level station operating since 1996 at Mazagón (Huelva, Spain) has been progressively upgraded to fit tsunami warning requirements, due to its location in one of the main regions at risk. Its radar water level sensor was complemented in 2017, with the addition of a pressure sensor. The performance of both sea level sensors and their response to sea level oscillations, at different frequencies, is assessed. Particular emphasis is put on the effect of extreme events, such as Storm Emma, when alternative methods to obtain 1-min data are tested, in contrast to the one based on arithmetic means. The overall differences are small, for the whole period of study (centered-root-mean-square-error below 1?cm, for 5-min, and hourly data; similar tidal parameters and sea level oscillations with periods between 30?s and 5?min). However, during Storm Emma, the pressure sensor presents sensibly lower readings than the radar, with the centered-root-mean-square-error rising to 80?mm on the March 2^nd 2018. A new method to compute 1-min data, based on medians, reduced this value to 10?mm for the same day.     

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。     

Accuracy of tsunami travel‐time charts

Abstract

The tsunami travel‐time charts that are presently in use by the Tsunami Warning Center were constructed originally in 1948 based on the hydrographic data available in the mid 1940s. Even the revised charts of 1971 made use of essentially the same data. It is shown here that the travel times deduced by these charts could be in error by as much as two hours in some cases. Even worse, the compiled travel times as deduced from these charts are generally greater than the observed travel times, which is a dangerous situation from a tsunami warning point of view.     

Relationship of instruments and policy in the Hawaii warning system

The tsunami which follows a strong local earthquake occurs within a few minutes of the origin time. This requires that any warning system for such local tsunamis be decentralized, as in the system used by the Japan Meterological Agency. Thus, decisions are being made by local officials rather than in a central office. This usually means that the level of training, the education, and the preparation is not as intense in such a local office as in a central office. Therefore, the decision making should be assisted by instrumentation that discriminates tsunamigenic earthquakes from non‐tsunamigenic earthquakes. This is not yet possible in real time; however, since only very large earthquakes (more than 6.5) generate significant tsunamis, an instrument to inform the local official of the tsunami prospects can be implemented.

An instrument for assisting the local decision maker has been developed. This instrument consists of an analog computer (an inverted pendulum having a period of 0.75 sec and damping about 0.3) and a digital computer (a hardwired signal‐recognition circuit), providing output to a display of status or alarm. The level of displacement (or velocity or acceleration) , the number of times that the threshold must be exceeded, and the time window within which the excedance must occur are all adjustable. Initial settings require about 0.06 g three times, not more than ten seconds apart. Battery back‐up and test circuitry are provided.

Since the operating instructions require that motion be felt before the instrument alarm be considered valid, great weight is given to assuring that the instrument will operate when required. The instru‐ment is always “ON,”; with the earthquake turning it “OFF”; thus, it is continually self‐testing.

Twelve units have been installed in police stations, fire stations, or similar locations around the State of Hawaii, which funded the system developed at Indiana University. This tsunami seismic trigger should be considered whenever the primary objective is to trigger an alarm rather than to record data; the emphasis in design and development has been on reminding the local official when there may be a tsunami hazard and not on recording research data.     

Rationale for measurement of midocean tsunami signature

Abstract

Arguments are presented to justify midocean tsunami measurements and related investigations aimed toward improvement of tsunami prediction and warning. It is postulated that midocean tsunami signatures be measured simultaneously at several locations and correlated with high‐accuracy onshore measurements.     

A Record of Palaeo-Tsunami in the Indian Ocean

The history of catastrophic events on the Indian coast helps us to understand the frequency and magnitude of the tsunamis that occurred in the Indian Ocean. These catastrophic events have changed the coastal landscape and have left significant records for further studies. These rare events have occurred in the Indian Ocean. There have been megatsunamigenic events in the past due to volcanic eruptions and earthquakes. Those events due to earthquakes have proved more catastrophic than the volcanic activities. There has been limited official records of the causality and magnitude of palaeo-tsunamigenic events. These have been studied using the various proxies. The rate of sedimentation is a proportional tool to study the magnitude of a tsunami and this has proved to be a successful tool along with foraminiferal assemblages. Causes for a tsunami to occur are by and large, the subduction zone earthquakes of the Indian plate has been the most common source for tsunami in the Indian Ocean. More often the Andaman and Nicobar and the Indonesian islands have been vulnerable to tsunami than the mainland of India and Sri Lanka.

In summary, in the last 200 years at least three basin-wide tsunamis have occurred, with several smaller tsunami affecting one or more coastlines in the region. The December 2004 M-9 tsunami seems to have been the largest and most destructive in the last two centuries, suggesting most tsunami are likely to be smaller but still allowing the possibility that even larger tsunami could be generated in propitious circumstances.     

海啸波对近岸岛礁影响的数值模拟研究

基于Okada有限断层模型和非线性浅水波方程,结合高精度嵌套网格建立了越洋（中国近海）-局部-近岸岛礁的海啸生成与传播的数值模型。以三亚凤凰岛为例,首先针对2011日本地震海啸,模拟分析了海啸波沿中国沿海大陆架的传播特征及对凤凰岛的影响规律。在取得验证结果的基础上,进一步讨论了中国近海的马尼拉海沟和琉球海沟的潜在海啸源,以及环太平洋的21个潜在特大越洋海啸对凤凰岛的影响特征。依据海啸波在抵达凤凰岛的波浪特征,结合傅里叶频谱分析方法,探索了近岸岛礁对海啸波的放大效应。结果表明,中国近海一般震级的海啸和特大越洋海啸对凤凰岛存在一定影响,最大波幅接近1 m,传播时间从3 h到27 h不等。受三亚东南半岛的影响,琉球海沟激发的海啸和越洋海啸在凤凰岛的放大效应相对于马尼拉海沟较小,其频率集中在0.8×10-4~2×10-4 Hz。马尼拉海沟产生的海啸波在凤凰岛产生了较为显著的放大效应,对于凤凰岛是值得关注的高风险海啸源。     

Positioning requirements for the tsunami warning system

Abstract

Canada has increased the number of tsunami warning stations on the Pacific Coast from two to three. The last gauge was installed at the north end of Vancouver Island, thereby filling a large gap previously existing and providing full coverage along the coast. The record of gauges at two of the three locations is accessible either by telephone or by means of meteor burst communication, alleviating the difficulties experienced during the tsunami threat of May 6, 1986, when telephone communications were disrupted by heavy use. The gauge at Langara Island will be relocated in a more accessible and also a more tsunami‐responsive location at Rennell Sound in the Queen Charlotte Islands. All tsunami gauges also serve as tide gauges, recording the water level every 15 min. In the event of a tsunami, the recording interval can be altered to every 60 s. Suggestions have been made that Canada attempt deep‐sea recording of tsunamis off its Pacific Coast. Although this would be of great scientific value, no such program is contemplated at this time.     

Revisiting the February 6th 1783 Scilla (Calabria, Italy) landslide and tsunami by numerical simulation

On February 6th, 1783, a landslide of about 5 × 10⁶ m³ triggered by a 5.8 M earthquake occurred near the village of Scilla (Southern Calabria, Italy). The rock mass fell into the sea as a rock avalanche, producing a tsunami with a run-up as high as 16 m. The tsunami killed about 1,500 people, making it one of the most catastrophic tsunamis in Italian history. A combined landslide-tsunami simulation is proposed in this paper. It is based on an already performed reconstruction of the landslide, derived from subaerial and submarine investigation by means of geomorphological, geological and geomechanical surveys. The DAN3D model is used to simulate the landslide propagation both in the subaerial and in the submerged parts of the slope, while a simple linear shallow water model is applied for both tsunami generation and propagation. A satisfying back-analysis of the landslide propagation has been achieved in terms of run-out, areal distribution and thickness of the final deposit. Moreover, landslide velocities comparable to similar events reported in the literature are achieved. Output data from numerical simulation of the landslide are used as input parameters for tsunami modelling. It is worth noting that locations affected by recordable waves according to the simulation correspond to those ones recorded by historical documents. With regard to run-up heights a good agreement is achieved at some locations (Messina, Catona, Punta del Faro) between computed and real values, while in other places modelled heights are overestimated. The discrepancies, which were most significant at locations characterized by a very low slope gradient in the vicinity of the landslide, were probably caused by effects such as wave breaking, for which the adopted tsunami model does not account, as well as by uncertainties in the historical data.