Development of crust deformation monitor using GPS array data

利用GPS阵列数据进行地壳形变监测的研制

• 批准号: 13308020
• 负责人: HORI Muneo
• 金额: $ 20.13万
• 依托单位: The University of Tokyo
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (A)
• 财政年份: 2001
• 资助国家: 日本
• 起止时间: 2001 至 2003
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13308020/
• 关键词: GPS; inverse analysis; regional stress; regional strain; regional elasticity; optimization of non-linear problem; monitoring; large-scale numerical computation; 解析解; 数値シミュレーション; 地域ひずみ場; 数値解析; 応力関数; バックスリップ; 特異摂動

This research is aimed at developing a crust deformation monitor which continuously monitors the state of the Japanese Island by analyzing the nation-wide array of GPS. The key point of the monitor is the inverse analysis theory that predict a stress field by using data measured in a discrete and the equilibrium equation that stress satisfies. By comparing the measured strain and the predicted stress, the monitor is able to evaluate the mechanical state for instance, apparent mechanical properties are identified. The validity of the crust deformation monitor has been checked through a numerical experiment in which both stress and strain are known. It is shown that as the quality and quantity of the data increases, the monitor is able to find the stress and state of the target the uncertainty of the monitored variables is estimated. The monitor is applied to analyze actual data of the nation-wide GPS data during 1998-2002. In view of the quality of available data, the monitor seeks to identify the distribution of Poisson's ratio over the Japanese Islands, which is in harmony with the S-wave and P-wave structure which is identified through the artificial earthquake measurement. This shows the usefulness of the developed crust deformation monitor, although further modification and improvement is needed as the quantity of the measured data increase such modification can be more rationally made. In order to estimate the uncertainty of the monitored field variables, a new theory of stochastic modeling has been developed for continuum mechanics. The theory is being applied to the crust deformation monitor.

本研究的目的是开发一种地壳形变监测仪，通过分析全国范围的GPS阵列，连续监测日本岛屿的状态。监测的关键是反分析理论，即利用离散的测量数据和应力满足的平衡方程来预测应力场。通过比较测量的应变和预测的应力，监测器能够评估机械状态，例如，识别表观机械性能。通过已知应力和应变的数值实验，验证了地壳形变监测的有效性。结果表明，随着数据质量和数量的增加，监测器能够发现目标的应力和状态，估计监测变量的不确定性。应用该监测仪对1998-2002年全国GPS数据进行了实测分析。鉴于现有数据的质量，监测器力求确定日本群岛的泊松比分布，这与通过人工地震测量确定的S波和P波结构相一致。这说明所研制的地壳形变监测仪是有用的，但随着观测数据量的增加，还需要进一步的修改和改进，这样的修改可以更加合理。为了估计监测的现场变量的不确定性，一个新的理论，随机建模连续介质力学已经发展。该理论已在地壳形变监测中得到应用。

项目成果

堀宗朗(編集委員): "構造工学ハンドブック"丸善. 2000 (2004)

堀宗明（主编）：《结构工程手册》丸善 2000 年（2004 年）。

M.Hori: "Application of spectral decomposition of Green's function to linear inverse problem"Engineering Analysis with Boundary Elements. (印刷中). (2003)

M.Hori：“格林函数谱分解在线性反演问题中的应用”《边界元工程分析》（出版中）。

M.Hori, T.Kameda T.Kato: "Prediction of stress filed in Japan using GPS network data"Earth, Planets Space. 52. 1101-1105 (2000)

M.Hori、T.Kameda T.Kato：“使用 GPS 网络数据预测日本的压力”地球、行星空间。

村上章, 登坂宣好, 堀宗朗, 鈴木誠: "有限要素法・境界要素法による逆問題解析-カルマンフィルタと等価介在物法の応用-"コロナ社. 187 (2002)

Akira Murakami、Nobuyoshi Tosaka、Muneaki Hori、Makoto Suzuki：“使用有限元法和边界元法进行反问题分析 - 卡尔曼滤波器和等效包含法的应用 -” Coronasha 187 (2002)。

M.Hori, K.Oguni: "Two analysis methods for the crustal deformation of Japanese Islands"Key Engineering/Materials. 243-244. 493-498 (2003)

M.Hori、K.Oguni：“日本列岛地壳变形的两种分析方法”关键工程/材料。