Cross wavelet analysis between layered monitoring data of stratum deformation and groundwater level regime

Authors

KONG Xiangru, Beijing Institute of Geo-Environment Monitoring，Beijing 10095，ChinaFollow

Abstract

Land subsidence is usually caused by over-exploitation of groundwater, and its occurrence and development have a certain lag relative to the change in groundwater level. Obtaining the accurate lag time of land subsidence has always been an important topic in land subsidence research. Based on the layered monitoring data of the long-time series of land subsidence and groundwater level regime from 2008 to 2018 by Land Subsidence Monitoring Station in Pinggezhuang, Beijing, the lag effect between stratum deformation in layers at different depths and groundwater level regime is analyzed in this paper by adopting methods of Mann Kendall trend test, continuous wavelet transform and cross wavelet transform, which provides a new technical idea for building a refined land subsidence model, improving the prediction accuracy of land subsidence and studying more effective preventive measures for land subsidence. The results show that the main oscillation period of confined water of medium and deep layers is about 1 a, while phreatic and shallow confined water has no significant period in most time domains. The stratum with a buried depth of more than 63 m exhibits a serious deformation, with the main oscillation period of about 1 a. A significant resonance period is found between the groundwater level regime and deformation. The lag times of the stratum deformation to the groundwater level from shallow to deep are (16.58±8.91) d、(7.16±7.09) d and (9.66±6.62) d, respectively. The strata with a buried depth of less than 63 m exhibit weaker subsidence, of which strata with a buried depth between 32-63 m have a main oscillation period of about 1 a and a significant resonance period with the medium layer confined water. The lag time of deformation is (32.02±9.67) d. The deformation of other strata has no significant periodicity and relevance with the groundwater level.

Keywords

land subsidence, groundwater level regime, layered monitoring, wavelet analysis, lag effect, Beijing Plain

DOI

10.12363/issn.1001-1986.21.10.0562

Recommended Citation

K. (2022) "Cross wavelet analysis between layered monitoring data of stratum deformation and groundwater level regime," Coal Geology & Exploration: Vol. 50: Iss. 6, Article 16.
DOI: 10.12363/issn.1001-1986.21.10.0562
Available at: https://cge.researchcommons.org/journal/vol50/iss6/16

Reference

[1] 朱菊艳,郭海朋,李文鹏,等. 华北平原地面沉降与深层地下水开采关系[J]. 南水北调与水利科技,2014,12(3):165−169. ZHU Juyan,GUO Haipeng,LI Wenpeng,et al. Relationship between land subsidence and deep groundwater yield in the North China Plain[J]. South–to–North Water Transfers and Water Science & Technology,2014,12(3):165−169.

[2] 薛禹群,张云,叶淑君,等. 中国地面沉降及其需要解决的几个问题[J]. 第四纪研究,2003,23(6):585−593. XUE Yuqun,ZHANG Yun,YE Shujun,et al. Land subsidence in China and its problems[J]. Quaternary Sciences,2003,23(6):585−593.

[3] DEVIN L G,THOMAS J B. Review:Regional land subsidence accompanying groundwater extraction[J]. Hydrogeology Journal,2011,19(8):1459−1486.

[4] WU Jichun,SHI Xiaoqing,XUE Yuqun,et al. The development and control of the land subsidence in the Yangtze Delta,China[J]. Environmental Geology,2008,55(8):1725−1735.

[5] XUE Yuqun,ZHANG Yun,YE Shujun,et al. Land subsidence in China[J]. Environmental Geology,2005,48(6):713−720.

[6] 刘予. 北京市地面沉降区含水层和压缩层组划分及地面沉降自动监测系统[D]. 长春：吉林大学，2004.

LIU Yu. Divided water-bearing zones and compressible zones of Beijing land subsidence area and land subsidence automatic monitoring system[D]. Changchun：Jilin University，2004.

[7] 罗勇. 北京地面沉降发展新趋势初步分析[J]. 上海国土资源,2017,38(2):13−17. LUO Yong. Research in the new trends of Beijing land subsidence[J]. Shanghai Land & Resources,2017,38(2):13−17.

[8] 叶超,田芳,罗勇,等. 北京地面沉降控制区划及防控措施[J]. 南京大学学报(自然科学),2019,55(3):440−448. YE Chao,TIAN Fang,LUO Yong,et al. Control zoning and prevention measures on land subsidence in Beijing[J]. Journal of Nanjing University(Natural Science),2019,55(3):440−448.

[9] 贾三满,王海刚,赵守生,等. 北京地面沉降机理研究初探[J]. 城市地质,2007,2(1):20−26. JIA Sanman,WANG Haigang,ZHAO Shousheng,et al. A tentative study of the mechanism of land subsidence in Beijing[J]. Urban Geology,2007,2(1):20−26.

[10] 徐海洋,周志芳,高宗旗. 释水条件下地面沉降的滞后效应试验研究[J]. 岩石力学与工程学报,2011,30(增刊2):3595−3601. XU Haiyang,ZHOU Zhifang,GAO Zongqi. Experimental research of hysteresis effect of land subsidence caused by water releasing[J]. Chinese Journal of Rock Mechanics and Engineering,2011,30(Sup.2):3595−3601.

[11] 张建伟,胡克,岳玮,等. 上海城区地面沉降及其对地下水采灌量的响应[J]. 长江流域资源与环境,2016,25(4):567−572. ZHANG Jianwei,HU Ke,YUE Wei,et al. Land subsidence in Shanghai City and its response to groundwater exploitation and reinjection[J]. Resources and Environment in the Yangtze Basin,2016,25(4):567−572.

[12] 施小清,薛禹群,吴吉春,等. 常州地区含水层系统土层压缩变形特征研究[J]. 水文地质工程地质,2006(3):1−6. SHI Xiaoqing,XUE Yuqun,WU Jichun,et al. A study of soil deformation properties of the groundwater system in the Changzhou area[J]. Hydrogeology & Engineering Geology,2006(3):1−6.

[13] 徐进,王少伟,杨伟涛. 水位变化下可压缩土层的黏弹性耦合变形分析[J]. 岩土力学,2020,41(3):1065−1073. XU Jin,WANG Shaowei,YANG Weitao. Analysis of coupled viscoelastic deformation of soil layer with compressible constituent due to groundwater level variation[J]. Rock and Soil Mechanics,2020,41(3):1065−1073.

[14] ZHOU Zhifang,GUO Qiaona,DOU Zhi. Delayed drainage of aquitard in response to sudden change in groundwater level in adjacent confined aquifer:Analytical and experimental studies[J]. Chinese Science Bulletin,2013,58(25):3060−3069.

[15] 王亚敏,张勃,郭玲霞,等. 地磁Ap指数与太阳黑子数的交叉小波分析及R/S分析[J]. 地理科学,2011,31(6):747−752. WANG Yamin,ZHANG Bo,GUO Lingxia,et al. Cross wavelet analysis and R/S analysis of relationship between geomagnetic Ap index and sunspot number[J]. Scientia Geographica Sinica,2011,31(6):747−752.

[16] 孙卫国,程炳岩. 交叉小波变换在区域气候分析中的应用[J]. 应用气象学报,2008,19(4):479−487. SUN Weiguo,CHENG Bingyan. Application of cross wavelet transformation to analysis on regional climate variations[J]. Journal of Applied Meteorological Science,2008,19(4):479−487.

[17] 田文通,孙军杰,陈双贵,等. 基于小波变换对地磁场变化特征的分析[J]. 西北地震学报,2013,35(增刊1):73−77. TIAN Wentong,SUN Junjie,CHEN Shuanggui,et al. Research on variation characteristics of geomagnetic field based on wavelet transform[J]. Noethwestern Seismological Journal,2013,35(Sup.1):73−77.

[18] 祁晓凡,王雨山,杨丽芝,等. 近50年济南岩溶泉域地下水位对降水响应的时滞差异[J]. 中国岩溶,2016,35(4):384−393. QI Xiaofan,WANG Yushan,YANG Lizhi,et al. Time lags variance of groundwater level response to precipitation of Jinan karst spring watershed in recent 50 years[J]. Carsologica Sinica,2016,35(4):384−393.

[19] 凤蔚,祁晓凡,李海涛,等. 雄安新区地下水水位与降水及北太平洋指数的小波分析[J]. 水文地质工程地质,2017,44(6):1−8. FENG Wei,QI Xiaofan,LI Haitao,et al. Wavelet analysis between groundwater level regimes and precipitation,north pacific index in the Xiong’an new area[J]. Hydrogeology & Engineering Geology,2017,44(6):1−8.

[20] 郭琳,宫辉力,朱锋,等. 基于小波分析的地下水水位与降水的周期性特征研究[J]. 地理与地理信息科学,2014,30(2):35−38. GUO Lin,GONG Huili,ZHU Feng,et al. Cyclical characteristics of groundwater level and precipitation based on wavelet analysis[J]. Geography and Geo-Information Science,2014,30(2):35−38.

[21] ZHANG Qiang,XU Chongyu,TAO Hui,et a1. Climate changes and their impacts on water resources in the arid Regions:A case study of the Tarim River Basin,China[J]. Stochastic Environmental Research and Risk Assessment,2010,24(3):349−358.

[22] KHALED H H. Trend detection in hydrologic data:The Mann-Kendall trend test under the scaling hypothesis[J]. Journal of Hydrology,2008,349:350−363.

[23] DONALD H B,MOHAMED A,HAG E. Detection of hydrologic trends and variability[J]. Journal of Hydrology,2005,255:107−122.

[24] 黄玥,黄志霖,肖文发,等. 基于Mann–Kendall法的三峡库区长江干流入出库断面水质变化趋势分析[J]. 长江流域资源与环境,2019,28(4):950−961. HUANG Yue,HUANG Zhilin,XIAO Wenfa,et al. Trend Analysis with Mann–Kendall test on water quality of the mainstream inflow and outflow for the three gorges reservoir of Yangtze River[J]. Resources and Environment in the Yangtze Basin,2019,28(4):950−961.

[25] TORRENCE C,COMPO G P. A practical guide to wavelet analysis[J]. Bulletin of the American Meteorological Society,1998,79(1):61−78.

[26] GRINSTED A,MOORE J C,JEVREJEVA S. Application of the cross wavelet transform and wavelet coherence to geophysical time series[J]. Nonlinear Processes in Geophysics,2004,11(5/6):561−566.

[27] HANSON R T,NEWHOUSE M W,DETTINGER M D. A methodology to asess relations between climatic variability and variations in hydrologic time series in the southwestern United States[J]. Journal of Hydrology,2004,287(1/2/3/4):252−269.

[28] 田芳,罗勇,周毅,等. 北京地面沉降与地下水开采时空演变对比[J]. 南水北调与水利科技,2017,15(2):163−169. TIAN Fang,LUO Yong,ZHOU Yi,et al. Contrastive analysis of spatial-temporal evolution between land subsidence and groundwater exploitation in Beijing[J]. South–to–North Water Transfers and Water Science & Technology,2017,15(2):163−169.

[29] 田芳,郭萌,罗勇,等. 北京地面沉降区土体变形特征[J]. 中国地质,2012,39(1):236−242. TIAN Fang,GUO Meng,LUO Yong,et al. The deformation behavior of soil mass in the subsidence area of Beijing[J]. Geology in China,2012,39(1):236−242.