基于球谐变换的GERD水库形变预测  

Deformation Prediction of GERD Reservoir Based on Spherical Harmonic Transform

作　　者：刘慧玲 陈雨[1] 王希禾 LIU Huiling;CHEN Yu;WANG Xihe(College of Electronics and Information Engineering,Sichuan University,Chengdu 610065,China)

机构地区：[1]四川大学电子信息学院,成都市610065

出　　处：《大地测量与地球动力学》2021年第12期1282-1287,共6页Journal of Geodesy and Geodynamics

基　　金：四川大学社会科学研究项目(skbm201915)。

摘　　要：提出一种基于球谐变换预测GERD水库蓄水过程中引起的地表形变的新方法。首先假定GERD水库分别在5 a、10 a、15 a间被注满,利用SRTM-DEM数据求取蓄水过程中每月水库的面积、体积和平均水高。经球谐展开后计算对应蓄水过程中引起的地表形变,并通过提高最大谐波度的上限来增加结果的精确度。3种蓄水策略下引起的垂向位移速率分别约为11.8 mm/a、5.9 mm/a、3.9 mm/a;引发的东向和西向位移速率分别约为1.8 mm/a和1.4 mm/a、0.9 mm/a和0.7 mm/a、0.6 mm/a和0.4 mm/a;引发的南向和北向位移速率分别约为2.6 mm/a和4.4 mm/a、1.3 mm/a和2.2 mm/a、0.8 mm/a和1.5 mm/a。This study proposes a new method for predicting surface deformation caused during GERD storage based on spherical harmonic transform.Firstly,it is assumed that the GERD reservoir is filled up during 5,10 and 15 years respectively,and the area,volume and water level of the reservoir are obtained for each month of the storage process using SRTM-DEM data.The surface deformation caused by the corresponding storage process is calculated after spherical harmonic expansion and the accuracy of the results is increased by increasing the upper limit of the maximum harmonic degree.The estimated vertical displacement velocity induced for each of the three filling strategies are 11.8 mm/a,5.9 mm/a and 3.9 mm/a,respectively.The induced east-west displacement velocity are 1.8 mm/a and 1.4 mm/a,0.9 mm/a and 0.7 mm/a,0.6 mm/a and 0.4 mm/a,respectively.The induced south-north displacement velocity are 2.6 mm/a and 4.4 mm/a,1.3 mm/a and 2.2 mm/a,0.8 mm/a and 1.5 mm/a,respectively.

关 键 词：球谐变换 GERD 垂直形变 水平形变 时间序列 

分 类 号：P312[天文地球—固体地球物理学] P258[天文地球—地球物理学]