球面小波在卫星重力测量数据分析中的应用研究
发布时间：2018-09-11 21:17
【摘要】：GRACE低轨重力卫星能以较高的精度获取每月地球重力场数据，而该数据中包含了丰富的时变地球动力学信息。采用小波分析技术来有效地分解重力场变化，得到不同波长成分的重力变化信息。在研究地质构造和地震活动之间的对应关系、地球的动力学演变过程等具有重大的理论意义和实际应用价值。 本文主要运用传统B样条小波和改进后的球面小波技术分别对中国四川地区的地面重力观测数据和GRACE卫星观测数据进行了多尺度分解计算，并结合该地区的地震活动进行了对比分析。完成的主要研究工作及取得的成果如下： 1、在总结小波分析理论的基础上，结合P尺度三次多项式函数推导了适用于球面大范围数据计算的二维球谐小波的构造算法，同时利用C++编制了相应的程序。 2、基于叠积差分法计算了汶川地区震前、同震及震后的GRACE月重力场观测数据，并评估了GRACE月模型的误差。比较分析了卫星重力观测数据与传统地面重力观测数据在地震区的分布特征和变化规律。 3、通过平面二维B样条小波分析方法，对我国汶川地震研究区域1998年~2005年间的震前多期流动地面重力重复观测资料进行多尺度小波分解，分析了不同阶次小波结果对应的重力场变化特征，发现重力异常变化的三阶小波分解结果在震中附近存在明显变化。 4、构建了球面小波分析方法并将其对GRACE获取的同震重力变化进行了分离处理，结果表明：同震重力变化的3阶分解结果与地质构造分布对应较好。
[Abstract]:The GRACE low-orbit gravity satellite can obtain the monthly gravity field data with high accuracy, which contains abundant time-varying geodynamic information. Wavelet analysis technique is used to decompose the variation of gravity field and obtain the information of gravity variation of different wavelength components. It is of great theoretical significance and practical value to study the corresponding relationship between geological structure and seismicity and the dynamic evolution process of the earth. In this paper, the traditional B-spline wavelet and the improved spherical wavelet technique are used to calculate the ground gravity observation data and the GRACE satellite observation data in Sichuan, China, respectively. The seismic activity in this area is compared and analyzed. The main research work and achievements are as follows: 1. On the basis of summing up the wavelet analysis theory, Combined with the cubic polynomial function of P-scale, the construction algorithm of 2-D spherical harmonic wavelet suitable for large-scale spherical data calculation is derived, and the corresponding program is compiled by using C. 2. Based on the overlapping product difference method, the pre-Wenchuan earthquake is calculated. The observation data of the GRACE monthly gravity field after the coseismic and post-earthquake are obtained, and the error of the GRACE monthly model is evaluated. The distribution and variation law of satellite gravity observation data and traditional ground gravity observation data in seismic area are compared and analyzed. 3. The plane two-dimensional B-spline wavelet analysis method is used. In this paper, the multi-phase ground gravity repeated observation data from 1998 to 2005 in Wenchuan earthquake study area in China are analyzed by multi-scale wavelet decomposition, and the variation characteristics of gravity field corresponding to different order wavelet results are analyzed. It is found that the third-order wavelet decomposition results of gravity anomaly change obviously in the vicinity of the epicentre. 4. A spherical wavelet analysis method is constructed and separated from the coseismic gravity variation obtained by GRACE. The results show that the third-order decomposition results of coseismic gravity change correspond well to the distribution of geological structure.
【学位授予单位】：长安大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：P223.4
本文编号：2237867
[Abstract]:The GRACE low-orbit gravity satellite can obtain the monthly gravity field data with high accuracy, which contains abundant time-varying geodynamic information. Wavelet analysis technique is used to decompose the variation of gravity field and obtain the information of gravity variation of different wavelength components. It is of great theoretical significance and practical value to study the corresponding relationship between geological structure and seismicity and the dynamic evolution process of the earth. In this paper, the traditional B-spline wavelet and the improved spherical wavelet technique are used to calculate the ground gravity observation data and the GRACE satellite observation data in Sichuan, China, respectively. The seismic activity in this area is compared and analyzed. The main research work and achievements are as follows: 1. On the basis of summing up the wavelet analysis theory, Combined with the cubic polynomial function of P-scale, the construction algorithm of 2-D spherical harmonic wavelet suitable for large-scale spherical data calculation is derived, and the corresponding program is compiled by using C. 2. Based on the overlapping product difference method, the pre-Wenchuan earthquake is calculated. The observation data of the GRACE monthly gravity field after the coseismic and post-earthquake are obtained, and the error of the GRACE monthly model is evaluated. The distribution and variation law of satellite gravity observation data and traditional ground gravity observation data in seismic area are compared and analyzed. 3. The plane two-dimensional B-spline wavelet analysis method is used. In this paper, the multi-phase ground gravity repeated observation data from 1998 to 2005 in Wenchuan earthquake study area in China are analyzed by multi-scale wavelet decomposition, and the variation characteristics of gravity field corresponding to different order wavelet results are analyzed. It is found that the third-order wavelet decomposition results of gravity anomaly change obviously in the vicinity of the epicentre. 4. A spherical wavelet analysis method is constructed and separated from the coseismic gravity variation obtained by GRACE. The results show that the third-order decomposition results of coseismic gravity change correspond well to the distribution of geological structure.
【学位授予单位】：长安大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：P223.4
【引证文献】
相关期刊论文 前1条
1 薛建华;刘超;;球面小波在卫星重力数据分析地震形变中的应用研究[J];工程勘察;2016年12期
，本文编号：2237867
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