한국지반공학회논문집 (Journal of the Korean Geotechnical Society)

한국지반공학회 (Korean Geotechnical Society)
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연직차수벽의 비정상 지하수 흐름에 대한 이론해 : 순간변위시험(slug test) 적용과 투수계수 산정

Analytical Solution for Transient Groundwater Flow in Vertical Cutoff Walls : Application of Slug Test and Evaluation of Hydraulic Conductivity

  • 투고 : 2012.02.08
  • 심사 : 2012.11.06
  • 발행 : 2012.11.28
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초록

순간변위시험(slug test) 결과를 이용하여 비정상 흐름을 고려한 연직차수벽의 투수계수를 평가할 수 있는 이론해는 지금까지 제시된 바가 없다. 무한 대수층에 부분 관입된 우물(well)형상에 적용 가능하도록 기존 문헌에서 제시한 이론해는 좁은 지중연속벽체 형상의 연직차수벽의 경계조건을 고려할 수 없다. 이러한 연직차수벽 경계조건을 고려하기 위해, 본 연구에서는 가상 우물이론(imaginary well theory)을 도입하여 두 가지 경계조건(즉, 일정 수두 조건과 불투수 조건)을 만족하도록 새로운 이론해를 유도하였다. 제안된 이론해를 이용하여 구한 연직차수벽에서 시간에 따른 수위 회복 곡선(Type Curve)을 무한 대수층의 경우와 비교한 결과, 일정 수두 경계조건을 적용할 경우, 우물의 수위 회복이 무한 대수층의 결과보다 빠르게 진행되고 반면에 불투수 경계조건을 적용할 경우는 더 느리게 진행되었다. 또한, 우물의 형상비가 클수록, 연직차수벽의 폭이 좁을수록, 우물의 편심 정도가 클수록, 연직차수벽과 주변 지반 사이의 경계조건의 영향이 커진다. 본 논문에서 제시한 이론해를 통해 산정된 Type Curve는 기존 문헌에서 수치해석을 통해 산정된 Type Curve와 유사한 경향을 보였다.

No analytical solution exists for evaluating in-situ hydraulic conductivity of vertical cutoff walls by analyzing slug test results with consideration of transient flow. There is an analytical solution proposed to interpret a slug test performed in a partially penetrated well within an aquifer. However, this analytical solution cannot be directly applied to the cutoff wall because the solution has been developed exclusively for an infinite aquifer instead of a narrow cutoff wall. To consider the cutoff wall boundary conditions (i.e, constant head boundary and no flux boundary condition), the analytical solution has been modified in this study to take into account the narrow boundaries by introducing the imaginary well theory. Type curves are constructed from the currently derived analytical solution and compared with those of a partially penetrated well within an aquifer. The constant head boundary condition provides faster hydraulic head recovery curve than the aquifer case. On the other hand, no flux boundary condition leads to slower hydraulic head recovery. The bigger the shape factor and deviation of the well and the smaller the width of the vertical cutoff wall are, the more effect of boundary condition was observed. The type curves obtained from the analytical solution for a cutoff wall are similar to those made by the numerical method in the literature.

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참고문헌

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