• Comparison of Hydrogeological Time Series Analysis Results Before and After Detrending
  • Lim, Hong-Gyun;Choi, Hyun-Mi;Lee, Jin-Yong;
  • Department of Geology, Kangwon National University;Department of Geology, Kangwon National University;Department of Geology, Kangwon National University;
  • 변동경향성 제거 전후의 수리지질학적 시계열분석 결과 비교
  • 임홍균;최현미;이진용;
  • 강원대학교 지질학과;강원대학교 지질학과;강원대학교 지질학과;
Abstract
In this study, we compared the analysis results before and after the detrending for the data. According to the comparison results, correlation functions were not much changed while autocorrelation and spectral density functions were largely varied. Especially, time series data with a long-term variation trend showed a distinctive difference. This study demonstrated a usefulness of the detrending for a further analysis.

Keywords: Time series analysis;Detrending;Auto-correlation;Spectral density;Cross-correlation;

References
  • 1. 이봉주, 문상호, 2008, 시계열 및 요인분석을 이용한 해수침투 특성 평가: 서천-군산지역, 지질학회지, 44(2), 219-232.
  •  
  • 2. 이봉주, 황세호, 2008, 지하수위 변동 특성에 근거한 해수침투 특성 평가: 영광 백수지역. 지질학회지, 44(2), 233-240.
  •  
  • 3. 이진용, 이강근, 2002, 강우에 대한 지하수위 반응양상 비교분석 : 강원도 원주지역과 경기도 의왕지역, 지하수토양환경, 7(1), 3-14.
  •  
  • 4. 정지민, 박유철, 조윤주, 이진용, 2010, 강원도 춘천시 천전리 지하수위 변동자료의 시계열 분석, 지질학회지, 46(2), 171-176.
  •  
  • 5. 지오그린21, 2006, 인천기지 PUMP 고장원인 조사를 위한 이물질 생성원인 분석, 주식회사 E1, p. 104.
  •  
  • 6. 최위찬, 김규봉, 최성자, 윤욱, 진명식, 1995, 김포-인천도폭 지질 조사보고서(축척 1:50,000), 자원개발연구소, p. 34.
  •  
  • 7. 하규철, 고경석, 고동찬, 임병우, 이강근, 2006, 시계열 분석을 이용한 하천수위에 따른 다심도 관정의 지하수위 변동해석, 자원환경지질, 39(3), 269-284.
  •  
  • 8. 한충용, 강주명, 1997, LPG 지하저장기지 수평 수벽공의 콜로깅현상 발생시 지하수위 및 주입수량 삼출 수량의 변화양상에 관한 실험적 연구, 한국가스학회지, 1, 101-105.
  •  
  • 9. Davis, J.C., 1986, Statistics and Data Analysis in Geology, John Wiley & Sons, New York, p. 646.
  •  
  • 10. Hanson, R.T., Newhouse, M.W., and Dettinger, M.D., 2004, A methodology to asess relations between climatic variability and variations in gydrologic time series in the southwestern United States, J. Hydrol., 287, 252-269.
  •  
  • 11. Hu, K., Ivanov, P. C., Chen, Z., Carpena, P., and Stanley, H. E., 2001, Effect of trends on detrended fluctuation analysis, Phys. Rev., 64(011114), 1-19.
  •  
  • 12. Jo, Y.J. and Lee, J.Y., 2010, Time series analysis of hydrologic data obtained from a man-made undersea LPG cavern, Eng. Geol, 113, 70-80.
  •  
  • 13. Ko, K.S., Chang, H.W., Kim, T., and Lee, K.K., 2002, Factors affecting the groundwater system around an underground LPG storage cavern, Quarterly J. Eng. Geol. Hydrogeol., 35, 279-290.
  •  
  • 14. Larocque, M., Mangin, A., Razack, M., and Banton, O., 1998, Contribution of correlation and spectral analysis to the regional study of a large karst aquifer(Charente, France), J. Hydrol., 5, 218-231.
  •  
  • 15. Lee, J., Kim, R.H., and Chang, H.W., 2003, Interaction between groundwater quality and hydraulic head in an area around an underground LPG storage cavern, Korea, Environ. Geol., 43, 901-912.
  •  
  • 16. Lee, J.Y., and Cho, B.W., 2008, Submarine groundwater discharge into the coast revealed by water chemistry of man-made undersea liquified petroleum gas cavern, J. Hydrol., 360, 195-206.
  •  
  • 17. Li, Z. and Zhang, Y.K., 2007, Quantifying fractal dynamics of groundwater systems with detrended fluctuation analysis, J. Hydrol., 336, 139-146.
  •  
  • 18. Matsoukas, C., Islam, S., and Rodriguez-Iturbe, I., 2000, Detrended fluctuation analysis of rainfall and stream flow time series, J. Geophys. Res., 105(D23), 29, 165-129.
  •  
  • 19. Molenat, J., Davy, P., Gascuel-Odoux, C., and Durand, P., 1999, Study of three subsurface hydrologic systems based on spectral and cross-spectral analysis of time series, J. Hydrol., 222, 152-164.
  •  

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