Journal of Korea Water Resources Association (한국수자원학회논문집)

Korea Water Resources Association (한국수자원학회)
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Uncertainty Analysis for Head and Gradient Incorporating Spatial Nonuniformity of Hydraulic Conductivity around Underground Storage Caverns

지하공동주변 수리전도도의 불균일성을 도입한 수두 및 동수경사의 불확실성 해석

  • Jeong, Il-Mun (Water Resources Engrg. Div., Korea Institute of Construction Technology) ;
  • Jo, Won-Cheol (School of Civil and Urban Engrg., Yonsei Univ.) ;
  • Heo, Jun-Haeng (School of Civil and Urban Engrg., Yonsei Univ.)
  • 정일문 (한국건설기술연구원 수자원연구실) ;
  • 조원철 (연세대학교 사회환경시스템 공학부) ;
  • 허준행 (연세대학교 사회환경시스템 공학부)
  • Published : 1998.10.01
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Abstract

For the proper design and management of underground storage cavern, groundwater flow around cavern should be analyzed. Since this flow is influenced by spatial nonuniformity of hudraulic conductivity, the two-dimensional finite element flow model incorporating stochastic concepts was developed to analyze influences due to this nonuniformity. Monte Carlo technique was applied to obtain an approximate solution for two-dimensional, steady flow in a stochastically defined nonuniform medisu. For this purpose, the values of hydraulic conductivity were generated for each element with known mean and standard deviations. The uncertainty in model prediction depends on both the nonuniformity in hydraulic conductivity and the natures of the flow system such as water curtain and boundary condition. Therefore the uncertainties in predicted hydraulic head and gradient are the greatest where the mean hydraulic gradients are relatively large and far from the boundaries. Especially, we relate these uncertainties with well known gas tightness condition.

지하저장공동의 적절한 설계와관리를 위해서는 공동주위의 지하수 흐름이 분석되어야 한다. 지하수 흐름은 수리전도도의 공간적인 변동성에 의해 영향을 받게 되므로 본 연구에서는 이러한 영향분석을 위해 추계학적 개념을 도입한 2차원 유한요소모형을 개발하였다. 추계학적으로 정의된 불균일 매질에서의 2차원 정류흐름에 대한 근사해를 얻기 위해 Monte carlo 방법을 이용하엿으며, 이를 위해 알려진 평균과 표준편차를 가진 수리전도도를 발생시켰다. 모형을 통한 예측결과의 불확실성은 수리전도도의 불균일성 뿐 아니라 수막시설이나 경계조건과 같은 흐름계의 성질에도 좌우되는 것으로 나타났다. 따라서 수두와 동수경사의 예측에 대한 불확실성은 평균동수경사가 상대적으로 큰 공동직상부에서 크고, 경계로부터 멀수록 커지는 것으로 확인되었다. 본 연구에서는 특히 동수경사의 불확실성을 널리 안려진 기밀조건식과 관계시켜 분석하였다.

Keywords

References

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