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2020 Vol.53, Issue 7 Preview Page

Research Article

Estimation of delay time between precipitation and groundwater level in the middle mountain area of Pyoseon watershed in Jeju Island using moving average method and cross correlation coefficient

이동평균법과 교차상관계수를 이용한 제주도 표선유역 중산간지역의 강수량과 지하수위 간의 지체시간 추정

Mun-Ju Shina*
,
Soo-Hyoung Moonb
,
Gi-Won Kohc
,
Duk-Chul Moond
신 문주a*
,
문 수형b
,
고 기원c
,
문 덕철d
aResearcher, Water Resources Research Team, Jeju Province Development Corporation
bPrincipal researcher, Water Resources Research Team, Jeju Province Development Corporation
cDirector, Research and Development Center, Jeju Province Development Corporation
dResearcher, Water Resources Research Team, Jeju Province Development Corporation
a제주특별자치도개발공사 수자원연구팀 선임연구원
b제주특별자치도개발공사 수자원연구팀 수석연구원
c제주특별자치도개발공사 품질연구본부 본부장
d제주특별자치도개발공사 수자원연구팀 선임연구원
* Corresponding Author
31 July 2020. pp. 533-543
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Abstract

In order to provide information for proper management of groundwater resources, it is necessary to estimate the rise time of groundwater level by calculating the delay time between the time series of precipitation and groundwater level and to understand the characteristics of groundwater level variation. In this study, total delay time (TDT) and cross correlation coefficient between the moving averaged precipitation generated by using the moving average method to take into account the preceding precipitation and the groundwater level were calculated and analyzed for the nine groundwater level monitoring wells in the Pyoseon watershed in the southeast of Jeju Island. As a result, when the moving averaged precipitation was used, the correlation with the groundwater level was higher in all monitoring wells than in the case of using the raw precipitation, so that it was possible to more clearly estimate the delay time between precipitation and groundwater level. When using the moving averaged precipitation, it had cross correlation coefficients of up to 0.57 ~ 0.58 with the time series data of the groundwater level, and had a relatively high correlation when considering the preceding precipitation of about 24 days on average. The TDT was about 32 days on average, and it was confirmed that the consideration of preceding precipitation plays an important role in estimating the TDT because the days of moving averaged precipitation greatly influences the calculation of the TDT. In addition, through the use of moving averaged precipitation, we found an error in estimating the TDT due to the use of raw precipitation. Through the method of estimating the TDT used in this study and the use of the R code for estimating the TDT presented in the appendix of this paper, it will be possible to estimate the TDT for other regions in the future relatively easily.

Keywords
Delay time
Moving average method
Cross correlation coefficient
Hydromad
Pyoseon watershed in Jeju Island

지하수자원의 적절한 관리를 위한 정보제공을 위해서는 강수량과 지하수위 시계열자료 간의 지체시간 계산을 통한 지하수위 상승시기 추정 및 지하수위 변동특성 파악이 필요하다. 본 연구에서는 제주도 남동쪽 표선유역 중산간지역에 위치한 9개 지하수위 관측정 지점을 대상으로 선행강수를 고려하기 위해 이동평균법을 활용하여 생성한 이동평균 강수량 시계열자료와 지하수위 시계열자료 간의 일단위 총 지체시간 및 교차상관계수를 계산하고 추정결과를 비교분석 하였다. 분석결과 이동평균 강수량 시계열자료를 사용시 원시 강수량 시계열자료를 사용한 경우보다 모든 관측정에서 지하수위 시계열자료와의 상관성이 증가함으로써 보다 명확한 강수량-지하수위 지체시간 추정이 가능하였다. 이동평균 강수량 시계열자료 사용시 지하수위 시계열자료와 최대 0.57~0.58까지의 교차상관계수를 보였으며 평균적으로 약 24일의 선행강수를 고려할 경우 상대적으로 높은 상관성을 보였다. 총 지체시간은 평균적으로 약 32일 이었으며 이동평균 강수일이 총 지체시간 계산에 큰 영향을 미침으로써 선행강수의 고려가 총 지체시간 추정시 중요한 역할을 하는 것을 확인하였다. 또한 이동평균 강수량 시계열자료 사용을 통해 원시 강수량 시계열자료 사용에 의한 총 지체시간 추정오류를 발견하였다. 본 연구에서 사용한 총 지체시간 추정방법과 본 논문의 부록에 제시된 총 지체시간 추정용 R 코드의 활용을 통해 향후 다른 지역에 대한 총 지체시간을 비교적 쉽게 추정할 수 있을 것으로 판단된다.

키워드
지체시간
이동평균
교차상관계수
Hydromad
제주도 표선유역
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Information
  • Publisher :KOREA WATER RESOURECES ASSOCIATION
  • Publisher(Ko) :한국수자원학회
  • Journal Title :Journal of Korea Water Resources Association
  • Journal Title(Ko) :한국수자원학회 논문집
  • Volume : 53
  • No :7
  • Pages :533-543
  • Received Date : 2020-05-13
  • Revised Date : 2020-06-04
  • Accepted Date : 2020-06-04
  • DOI :https://doi.org/10.3741/JKWRA.2020.53.7.533
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