• Title/Summary/Keyword: maximum cross correlation coefficient ($CCF_{max}$)

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Determination of Hydraulic Conductivities in the Sandy Soil Layer through Cross Correlation Analysis between Rainfall and Groundwater Level (강우-지하수위 상관성 분석을 통한 사질토층의 수리전도도 산정)

  • Park, Seunghyuk;Son, Doo Gie;Jeong, Gyo-Cheol
    • The Journal of Engineering Geology
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    • v.29 no.3
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    • pp.303-314
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    • 2019
  • Surface permeability and shallow geological structures play significant roles in shaping the groundwater recharge of shallow aquifers. Surface permeability can be characterized by two concepts, intrinsic permeability and hydraulic conductivity, with the latter obtained from previous near-surface geological investigations. Here we propose a hydraulic equation via the cross-correlation analysis of the rainfall-groundwater levels using a regression equation that is based on the cross-correlation between the grain size distribution curve for unconsolidated sediments and the rainfall-groundwater levels measured in the Gyeongju area, Korea, and discuss its application by comparing these results to field-based aquifer test results. The maximum cross-correlation equation between the hydraulic conductivity derived from Zunker's observation equation in a sandy alluvial aquifer and the rainfall-groundwater levels increases as a natural logarithmic function with high correlation coefficients (0.95). A 2.83% difference between the field-based aquifer test and root mean square error is observed when this regression equation is applied to the other observation wells. Therefore, rainfall-groundwater level monitoring data as well as aquifer test are very useful in estimating hydraulic conductivity.