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应用内外解匹配的方法和驻相法推导了柱坐标系下地震引起的水面波动方程的解,即推导了地震海啸波生成与传播的理论方程,并对越洋地震海啸理论方程进行了求解。基于Boussinesq方程出发,建立了二维越洋海啸波传播数学模型,并对越洋海啸进行了数值计算,计算方法采用有限差分方法,差分格式采用交替方向隐格式(Alternating Direction Implicit即ADI方法)。利用越洋海啸计算模式对发生在大洋中的地震海啸进行了模拟,将数值模拟结果与地震海啸波理论方程的计算结果进行了比较,两种计算结果吻合较好。 相似文献
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2015年9月16日22时54分（当地时间）智利中部近岸发生Mw8.3级地震,震源深度25 km。同时,强震的破裂区长200 km,宽100 km,随之产生了中等强度的越洋海啸。海啸影响了智利沿岸近700 km的区域,局部地区监测到近5 m的海啸波幅和超过13 m的海啸爬坡高度。太平洋区域的40多个海啸浮标及200多个近岸潮位观测站详细记录了此次海啸的越洋传播过程,为详细研究此次海啸近场及远场传播及演化规律提供了珍贵的数据。本文选择有限断层模型和自适应网格海啸数值模型建立了既可以兼顾越洋海啸的计算效率又可以实现近场海啸精细化模拟的高分辨率海啸模型。模拟对比分析了海啸的越洋传播特征,结果表明采用所建立的模型可以较好地再现远场及近场海啸特征,特别是对近场海啸的模拟结果非常理想。表明有限断层可以较好地约束近场、特别是局部区域的破裂特征,可为海啸预警提供更加精确的震源信息,结合高分辨率的海啸数值预报模式实现海啸传播特征的精细化预报。本文结合观测数据与数值模拟结果初步分析了海啸波的频散特征及其对模型结果的影响。同时对观测中典型的海啸波特征进行的简要的总结。谱分析结果表明海啸波的能量主要分布在10~50 min周期域内。这些波特征提取是现行海啸预警信息中未涉及,但又十分重要的预警参数。进一步对这些波动特征的详细研究将为海啸预警信息及预警产品的完善提供技术支撑。 相似文献
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数值模拟作为海啸预报的主要研究方法在海啸预警中起着关键作用。本文采用Godunov格式的有限体积方法,使用MUSCL-Hancock格式,并利用HLLC Riemann近似求解器计算单元界面上的流体通量,建立了球坐标系下二阶精度的海啸数值模型。模型所基于的全和谐型浅水方程保证了数值的稳定性,而地形重构方法实现了干湿边界的精准模拟。本文模拟了2015年9月16日智利Mw8.3级地震海啸,通过与智利近岸14个测站和环太平洋20个DART浮标实测数据比较,验证了模型对实际越洋海啸模拟预报的能力。 相似文献
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COMCOT数值模式的介绍和应用 总被引：1，自引：0，他引：1
介绍了一个成熟的海啸数值模式-COMCOT模式.COMCOT模式是一个能够模拟海啸产生、传播和增水全过程的基于浅水波方程的有限差分模型.模型采用多层网格嵌套,根据海啸在不同区域的传播特点和要求,分别选用不同的分辨率和计算设置,从而兼顾了模式的精度和计算效率.利用此模式模拟了2006年12月26日台湾南部7.2级地震产生海啸波的传播情况,结果与两个潮位站的海啸波监测数据相吻合. 相似文献
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海啸波对近岸岛礁影响的数值模拟研究 总被引：1，自引：0，他引：1
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。 相似文献
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温州瓯江口浅滩地区越洋海啸影响评估计算 总被引：1，自引：0，他引：1
日本“3·11”地震海啸事件发生后,为了避免灾难重演,各滨海国家在加强海啸基础理论研究、改进海啸预警系统的同时,还应对沿海重大工程及重点保障目标进行地震海啸灾害风险排查及再评估工作;对在建的重大基础设施和社会经济功能区划应进行全面的地震海啸安全论证.在此背景下,该文首先概括总结了我国东南沿海的地震海啸风险及历史海啸事件时空分布,简要介绍了越洋海啸传播特征.海啸源选取基于潜在可能最大海啸,选取环太平洋地震带上的潜在地震海啸源,进行温州瓯江口地区越洋海啸影响评估计算.海啸数值计算模型采用美国康奈尔大学的COMCOT模型,利用该模型对2010年智利海啸、2011年日本海啸进行了近场、远场模拟验证,计算结果与观测数据吻合良好,模型可信.应用联合国教科文组织政府间海洋学委员会(UNESCO/IOC)太平洋海啸预警系统的海啸危险性等级标准,结合评估计算结果,对瓯江口浅滩地区海啸危险性进行等级划分,获得了该地区的海啸危险性初步评估结果.结果表明:在所选的10个潜在或历史海啸源产生的越洋海啸对研究区域的影响均小于100 cm,此规模的海啸不易对该地区造成灾害性影响.研究结果对于指导该地区的海啸灾害风险评估及风险排查具有一定的参考价值. 相似文献
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越洋海啸的数值模拟及其对我国的影响分析 总被引：7，自引：2，他引：5
简要介绍了地震海啸产生的物理机制、海啸波在大洋中的传播特性以及海啸所具有的超强破坏力可能引发的巨大灾害;概述了全球地震海啸发生的频率和太平洋区域历史海啸的时空分布;整理分析了我国沿海发生海啸的频次和空间分布。针对越洋海啸传播的特点,采用基于波浪追逐原理和自适应网格加密技术的海啸数值模型对1960智利海啸进行了数值模拟,将模拟的结果与历史记录进行了对比,验证了模型的可靠性。通过对数值模拟结果的分析,初步讨论了我国沿海地区越洋海啸的危险性,并定量阐述了越洋海啸对我国各海区的影响。 相似文献
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南海潜在海啸灾害的模拟 总被引：7，自引：0，他引：7
结合南海海域的地形条件、地质构造、地震学特征以及历史地震记录，在回顾总结国内外学者研究的基础上，分析了南海可能引发地震海啸的震源区域，并讨论了在我国南海沿岸发生海啸灾害的潜在可能性。采用目前在国际上广泛使用的COMCOT海啸模式，对马尼拉海沟的潜在地震引发的海啸进行了数值模拟计算，计算中包含了由地震参数到海面初始变形的转换、海啸的深水传播过程以及海啸的浅水传播过程。采用三重嵌套网格，外层网格对应于大范围的深水区域，使用球坐标系下的线性控制方程；第二层网格对应中等范围的较浅水区域，使用球坐标系下的非线性控制方程；第三层网格对应小范围的浅水区域，使用直角坐标系下的非线性控制方程。由模拟计算得到的海啸传时分布、近岸海面升降强度、四个特定点上海面高度随时间变化等的结果表明,我国南海沿岸遭受海啸袭击的可能性是存在的，应进一步对南海海啸进行监测、预警和研究。COMCOT模式性能良好，可用于对南海潜在地震海啸的进一步模拟研究。 相似文献
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本文基于有限断层模型和OKADA 位错模型计算海表变形场作为初始条件，利用MOST 海啸数值模型模拟分析了2010年智利和2011 年日本地震海啸在我国东南沿海地区的海啸传播特征，海啸波模拟结果与观测数据吻合较好。重点研究分析了沈家门港口海域的海啸波流特征及其诱导的涡旋结构。研究结果表明：尽管两次事件的海啸源位置及破裂特征完全不同，但海啸波流在我国东南沿岸的分布特征大致相似；另外相对于海啸波幅而言，港湾中海啸流具有更强的空间差异性，港口入口、岬角地形处和岛屿间水道中往往会有强流存在。尽管这两次越洋海啸均未能在我国东南沿海引发淹没情形，但通过数值计算发现局部均存在超过3 m/s 以上的强流，因此进行海啸预警及风险管理时应综合考虑海啸波流的影响。 相似文献
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An explicit finite difference model for simulating weakly nonlinear and weakly dispersive waves over slowly varying water depth 总被引：2，自引：0，他引：2
In this paper, a modified leap-frog finite difference (FD) scheme is developed to solve Non linear Shallow Water Equations (NSWE). By adjusting the FD mesh system and modifying the leap-frog algorithm, numerical dispersion is manipulated to mimic physical frequency dispersion for water wave propagation. The resulting numerical scheme is suitable for weakly nonlinear and weakly dispersive waves propagating over a slowly varying water depth. Numerical studies demonstrate that the results of the new numerical scheme agree well with those obtained by directly solving Boussinesq-type models for both long distance propagation, shoaling and re-fraction over a slowly varying bathymetry. Most importantly, the new algorithm is much more computationally efficient than existing Boussinesq-type models, making it an excellent alternative tool for simulating tsunami waves when the frequency dispersion needs to be considered. 相似文献
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基于数值模拟的渤海海域地震海啸危险性定量化研究 总被引：1，自引：1，他引：0
根据地震海啸产生的条件,结合渤海海域的地形特征、地质构造、地震学特征和历史地震及海啸记录对渤海海域潜在的地震海啸进行了数值模拟研究。分析了渤海可能引发地震海啸的震源区域,讨论了渤海发生海啸灾害的可能性。文中通过数值模拟再现了渤海历史上几次规模较大的地震事件可能引发的海啸情景,研究分析了可能的地震海啸在渤海及周边海域的传播过程及波动特征.地震海啸传播模型采用基于四叉树原理的自适应网格加密技术,有效解决了局部分辨率与计算效率之间的矛盾。数值计算包括地震海啸产生及传播过程。利用该模型对渤海潜在的地震海啸进行了数值计算,基于数值计算结果定量阐述了渤海海域潜在地震海啸对渤海局部岸段及北黄海沿岸的影响,给出了渤海可能地震海啸危险性划分;研究结果将为我国海啸危险性分析和海啸预警技术研究工作提供技术支持。 相似文献
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The present study focused on tracing tsunami-drifted objects under a real tsunami based on an integrated numerical method. Instead of a solitary wave that is much shorter and steeper than real-world tsunami waves, an extra-long tsunami wave is represented here in a nearshore region using a new approach. To this end, propagation of a seismic tsunami from the source to the nearshore region was simulated using two-dimensional depth-averaged equations. When the waves reached the target coastal area, the time series of the free surface of the tsunami was approximated by a theoretical relation based on a combination of several solitons, which were then used to solve the linearized trajectory equation of the wave-maker to generate the intended time series of the tsunami wave. Finally, in a nearshore model, the movement of drifted bodies under the generated tsunami wave was simulated based on the smoothed-particle hydrodynamics (SPH) method. In order to verify the accuracy of the proposed method in tracing the drifted bodies under a real tsunami, the giant fish-oil tank, which was transported about 300 m during the 2011 Tohoku tsunami of Japan, was selected as the benchmark. The results demonstrate that the time series of the long tsunami wave was successfully generated by the piston wave-maker in the GPU-based SPH model, and the proposed approach can be regarded as a suitable alternative for reproduction of a real tsunami. The results also showed that the simulated fish-oil tank properly followed the estimated trajectory in Ishinomaki but it was transported more than the reported distance, which was expected due to absence of a holding connection between the tank and the ground in the SPH model. It should be emphasized that this study is one of the first studies on three-dimensional tracing of a tsunami-drifted body during a real event, and the tracing can be more accurate in further simulations by applying higher-resolution topography data and faster computation systems that help include more details in the nearshore model. 相似文献
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In this paper the aim is to investigate whether there are differences between the dispersion and non-dispersion solutions on tsunami propagation. For this purpose, two numerical models of tsunami propagation are compared. One of these numerical models is a nondispersive model that uses Saint Venant equations and the other is a dispersive model that uses Boussinesq equations. The tsunamis resulting from a submarine mass failure (SMF) which is settled at the bottom of the north eastern Sea of Marmara are examined. An analytical solution considering wave dispersion is developed for obtaining near-field tsunami amplitudes above the submarine mass failure. Numerical modeling is used at the sea surface from the common boundary called as liquid boundary with incident waves up to the coastal regions to get the tsunami amplitudes. The output of the analytical model is taken as the disturbances for the numerical method. In the numerical solutions TELEMAC-2D software system is used for both dispersive and nondispersive modeling. The results of the dispersive and nondispersive models are compared to each other. Both temporal and spatial differences in the amplitudes and wave shapes are examined. The obtained results demonstrate that there are no noticeable differences between the dispersion and non-dispersion solutions except some special cases and some special landslide velocities. 相似文献
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海啸波传播的线性和非线性特征及近海陆架效应影响的数值研究 总被引：3，自引：2，他引：1
浅水方程被广泛应用于海啸预警报业务及研究,而针对线性浅水方程与非线性浅水方程在不同海区水深地形条件下的适用范围、计算效率问题是海啸研究人员急需了解的。本文应用基于浅水方程的海啸数值预报模型就海啸波在南海、东海传播的线性、非线性特征以及陆架对其传播之影响进行了数值分析研究。海啸波在深水的传播表征为强线性特征,此时线性系统对海啸波幅的模拟计算具有较高的精度和效率,而弱的非线性特征及弱的色散特征对海啸波幅的预报影响甚微,可以忽略不计。海啸波传播至浅水大陆架后受海底坡度变化、海底粗糙度等因素影响,波动的非线性效应迅速传播、积累,与线性浅水方程计算的海啸波相比表现出较大差异,主要表现为:在南海区,水深小于100m时,海啸波首波以后的系列波动非线性特征比较明显,两者波幅差别较大,但首波波幅的区别不大,因此对于该区域在不考虑海啸爬高的情况下,应用线性系统计算得到的海啸波幅也可满足海啸预警报的要求;在东海区由于陆架影响,海啸波非线性特征明显增强,水深小于100m区域,首波及其后系列波波幅均差异较大,故在该区域必须考虑海啸波非线性作用。本文就底摩擦项对海啸波首波波幅的影响进行了数值对比分析,结果表明:底摩擦作用对海啸波首波波幅影响仅作用于小于100m水深。最后,该文通过敏感性试验,初步分析了陆架宽度及陆架边缘深度对海啸波波幅的影响,得出海啸波经陆架传播共振、变形后,海啸波幅的放大或减小与陆架的宽度及陆架边缘水深有关。 相似文献
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The Okinawa Trench in the East China Sea and the Manila Trench in the South China Sea are considered to be the regions with high risk of potential tsunamis induced by submarine earthquakes. Tsunami waves will impact the southeast coast of China if tsunamis occur in these areas. In this paper, the horizontal two-dimensional Boussinesq model is used to simulate tsunami generation, propagation, and runnp in a domain with complex geometrical boundaries. The temporary varying bottom boundary condition is adopted to describe the initial tsunami waves motivated by the submarine faults. The Indian Ocean tsunami is simulated by the numerical model as a validation case. The time series of water elevation and runup on the beach are compared with the measured data from field survey. The agreements indicate that the Boussinesq model can be used to simulate tsunamis and predict the waveform and runup. Then, the hypothetical tsunamis in the Okinawa Trench and the Manila Trench are simulated by the numerical model. The arrival time and maximum wave height near coastal cities are predicted by the model. It turns out that the leading depression N-wave occurs when the tsunami propagates in the continental shelf from the Okinawa Trench. The scenarios of the tsunami in the Manila Trench demonstrate significant effects on the coastal area around the South China Sea. 相似文献
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Bathing beaches are usually the first to suffer disasters when tsunamis occur, owing to their proximity to the sea. Several large seismic fault zones are located off the coast of China. The impact of each tsunami scenario on Chinese bathing beaches is different. In this study, numerical models of the worst tsunami scenarios associated with seismic fault zones were considered to assess the tsunami hazard of bathing beaches in China. Numerical results show that tsunami waves from the Pacific Ocean could affect the East China Sea coast through gaps between the Ryukyu Islands. The Zhejiang and Shanghai coasts would be threatened by a tsunami from Ryukyu Trench, and the coasts of Hainan and Guangdong provinces would be threatened by a tsunami from the Manila Trench. The tsunami hazard associated with the Philippine Trench scenario needs particular attention. Owing to China’s offshore topography, the sequential order of tsunami arrival times to coastal provinces in several tsunami scenarios is almost the same. According to the tsunami hazard analysis results, Yalongwan Beach and eight other bathing beaches are at the highest hazard level. A high-resolution numerical calculation model was established to analyze the tsunami physical characteristics for the high-risk bathing beaches. To explore mitigating effects of a tsunami disaster, this study simulated tsunami propagation with the addition of seawalls. The experimental results show that the tsunami prevention seawalls constructed in an appropriate shallow water location have some effect on reducing tsunami hazard. Seawalls separated by a certain distance work even better. The analysis results can provide a scientific reference for subsequent preventive measures such as facility construction and evacuation. 相似文献