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Real time interpolation of earthquake wave propagation

地震波传播的实时插值

基本信息

批准号：
07455187
负责人：
HOSHIYA Masaru
金额：
$ 4.67万
依托单位：
MUSASHI INSTITUTE of TECHNOLOGY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (B)
财政年份：
1995
资助国家：
日本
起止时间：
1995 至 1997
项目状态：
已结题

项目摘要

Throughout the history of stochastic process and field simulation, unconditional simulation has been the main theme, it has been widely applied in structural, earthquake and related engineering. However, development of the method of conditional simulation for stochastic process and fields, i.e. simulation of stochastic process fields under the condition that some of their sample realizations are observed and known is of relatively recent origin, in spite of its significant usefulness in engineering applications.The objective of this research is to develop a real time monitoring system of earthquake wave propagation, which may be contribute to the development of the earthquake disaster mitigation program. The major findings of this research are summarized as follows.1. A time domain interpolation method of conditional simulation on a temporal and spatial gaussian field was developed. In this method a simple auto-regressive modeling which expresses the very property of spatially and temporally deviating phenomena was employed.2. A theoritical formulation is presented to estimate conditional non-gaussian translation stochastic fields. Proposed estimation theory of non-gaussian conditional stochastic fields is based both on the estimation theory of conditional gaussian stochastic fields and on the transformation of non-gaussian variables to gaussian variables taking account of the correlation between non-gaussian variables.3. The concept of conditional stochastic finite element method is proposed. The method developed here may be applied to updating a general stochastic field such as the physical behavior of the system was described by the finite element modeling.4. Some important topics, sampling method for stochastic fields, fast wavelet transformation for nonstationary phenomena and future perspectives of this research are also suggested.

纵观随机过程和场模拟的历史，无条件模拟一直是主旋律，它在结构、地震等相关工程中得到了广泛的应用。随机过程和随机场的条件模拟方法，即在某些随机过程场的样本实现被观测和已知的条件下进行随机过程场的模拟，尽管在工程应用中有重要的用途，但其发展是相对较新的。本研究的目的是发展一个地震波传播的真实的实时监测系统，这可能有助于防震减灾计划的发展。本研究的主要发现如下：1.提出了一种时空高斯场条件模拟的时域插值方法。在该方法中，采用了一种简单的自回归建模方法，该方法表达了空间和时间偏差现象的特性.给出了条件非高斯平移随机场的一个理论估计公式。提出的非高斯条件随机场的估计理论是基于条件高斯随机场的估计理论和考虑非高斯变量之间相关性的非高斯变量到高斯变量的转换.提出了条件随机有限元的概念。该方法可应用于一般随机场的修正，如有限元模型描述的系统物理行为.最后，对随机场的采样方法、非平稳现象的快速小波变换以及未来的研究方向进行了展望。