PREDICTION OF REGIONAL STRESS AND CONSTITUTIVE RELATIONS BASED ON INVERSE ANALYSIS OF GPS DATA

基于GPS数据反演的区域应力及本构关系预测

• 批准号: 11490006
• 负责人: HORI Muneo
• 金额: $ 1.6万
• 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 (B).
• 财政年份: 1999
• 资助国家: 日本
• 起止时间: 1999 至 2000
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-11490006/
• 关键词: GPS; inverse analysis; regional stress; regional characteristics; numerical computation; stress function; back slip; singular perturbation; 応力推定; 構成則推定; 列島モデル; 数値計算; 断層; 地域不均一性

This research is aimed at predicting regional stress and constitutive relations, by analyzing the displacement and strain data that are measured by the nation-wide GPS data. The following three are the major results :1) It is theoretically shown that the displacement increment corresponds to the overall crustal deformation caused by the plate movement, while the strain increment represents the regional heterogeneity that produces particular regional deformation.2) For the prediction of the overall crustal deformation, an inverse analysis method using the spectral decomposition is thus proposed. The key feature of this method is that measurable modes of the overall crustal deformation is determined by considering the accuracy of the measurement, and the modes and the associated source are predicted by using the measured data.3) For the prediction of the regional crustal deformation, the formulae to compute the average strain increment is developed and the utilization of the stress inver … More sion method is proposed to estimate the stress increment. The formulae gives an average strain taken over a triangular region formed by three GPS station without taking derivatives. The stress inversion method is to determine stress components which are in equilibrium, by making use of Airy's stress function.It is shown in numerical analysis that uses the actual GPS network data that the regional stress and constitutive relations can be predicted by using these methods. The predicted values of the regional stress increment and constitutive relations appears reasonable, even though the validity of the results are not verified. However, it is surely shown that the analysis method work for new data analysis methods of the GPS network data which are measured in high spatial resolution. Therefore, the continuation of the present research is expected, and a so-called crustal deformation monitor that uses these methods is being developed. Also, it is planned that the validity of the analysis is verified by comparing with the crust structure and the seismic event, and that the method is extended to predict future crustal deformation. Less

本研究的目的是通过分析全国范围内GPS观测的位移和应变数据，预测区域应力和本构关系。主要结果有：1）从理论上证明了位移增量对应于板块运动引起的地壳整体变形，而应变增量则反映了区域非均匀性，从而产生特定的区域变形; 2）提出了一种基于谱分解的地壳整体变形反演方法。该方法的主要特点是在考虑测量精度的基础上确定整体地壳形变的可测模式，并利用实测资料预测模式及其震源。3）对于区域地壳形变预测，提出了计算平均应变增量的公式，并利用应力反演方法进行了预测 ...更多信息 提出了一种新的应力增量估计方法。该公式给出了由三个GPS站组成的三角形区域上的平均应变，而无需求导。应力反演方法是利用Airy应力函数确定处于平衡状态的应力分量，利用实际GPS网数据进行的数值分析表明，利用这些方法可以预测区域应力和本构关系。区域应力增量和本构关系的预测值是合理的，但其有效性尚未得到验证。然而，它确实表明，分析方法的工作，为新的数据分析方法，在高空间分辨率测量的GPS网络数据。因此，预计目前的研究将继续下去，目前正在开发一种使用这些方法的所谓地壳变形监测仪。此外，计划通过与地壳结构和地震事件的比较来验证分析的有效性，并将该方法扩展到预测未来的地壳变形。少

项目成果

M.Hori: "Inversion method using spectral decomposition of Green's function"in Proceedings of Field Analyses for Determination of Material Parameters-Experimental and Numerical Aspects-. 14-15 (2000)

M.Hori：“使用格林函数谱分解的反演方法”，《确定材料参数的现场分析程序 - 实验和数值方面 -》。

M.Anders and M.Hori: "Stochastic finite element method for elasto-plastic body"International Journal of Numerical Methods in Engineering. 46. 1897-1916 (1999)

M.Anders 和 M.Hori：“弹塑性体的随机有限元法”国际工程数值方法杂志。

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

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

M.Hori: "Inversion of stress and constitutive relations using strain data for Japanese Islands"Inverse Problems in Engineering Mechanics II (ed.by M.Tanaka and G.S.Dulikravich). 349-358 (2000)

M.Hori：“使用日本群岛应变数据反演应力和本构关系”工程力学中的反问题 II（M.Tanaka 和 G.S.Dulikravich 编辑）。

M.Hori, and T.Kameda: "Inversion of stress distribution using GPS data"in International Symposium on GPS, Tsukuba, Japan, October 18-22. (1999)

M.Hori 和 T.Kameda：“使用 GPS 数据反转应力分布”，国际 GPS 研讨会，日本筑波，10 月 18 日至 22 日。