지질공학 (The Journal of Engineering Geology)

  • 제14권1호
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  • Pages.47-60
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  • 2004
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  • 1226-5268(pISSN)
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  • 2287-7169(eISSN)
대한지질공학회 (The Korean Society of Engineering Geology)
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균질화 해석법을 이용한 단열 간극변화에 따른 투수계수 해석

The homogenization analysis for permeability coefficients by fracture aperture variations

  • 채병곤 (한국지질자원연구원 지질환경재해연구부)
  • 발행 : 2004.03.01
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초록

이 연구에서는 간극변화에 따른 단열 기하양상을 충분히 고려한 투수계수를 구하고자 균질화 해석법을 이용하여 투수계수를 산정 하였다. 공초점 레이저 스캔 현미경을 이용하여 압력 단계별 간극을 측정한 결과 한개 시료 내에서 각 측정지점별 간극 크기는 모두 다르게 나타나며 단열 면 양쪽이 서로 평행하지 않고 불 평탄한 양상임을 잘 나타낸다. 각 시료별로 압력 단계별 간극양상을 이용하여 단열모델을 각각 작성하고 균질화 해석법을 통해 간극 양상에 따른 투수성 변화를 살펴본 결과, 각 시료별로 산정한 투수계수는 $10^{-1}~10^{-3}cm/sec$의 범위에 분포한다. 시료들은 대체로 압력이 증가함에 따라 일반적으로 투수계수가 감소하는 양상을 나타낸다. 그러나, 시료별로 압력에 따른 투수계수 감소비율이 일정하지 않고 다양한 변화양상을 보인다. 이와 같은 양상은 Chae et al.(2003)의 관찰결과와 잘 일치하며, 이는 간극의 변화가 투수성에 미치는 영향이 크다는 것을 입증한다. 동일 시료 내에서도 3등분한 지점별로 각기 다른 투수계수 값이 계산되었다. 이는 투수계수가 간극의 크기와 분포형태에 따라 민감하게 변화함을 지시하는 것이다. 따라서, 간극 분포가 일정하지 않은 암석 내 단열에서의 투수특성 해석 시에는 정확한 단열 기하양상을 반영하는 것이 매우 중요하다. 따라서, 단열 내 투수계수 산정을 위해서는 단열 기하양상을 충분히 고려할 필요가 있다.

The permeability coefficients were calculated by the homogenization analysis method with sufficient consideration of fracture geometry dependent on aperture change. According to the results of aperture measurements using a confocal laser scanning microscope, apertures on each measuring point display different magnitudes, indicating that fracture walls can not be assumed as parallel feature. After construction of fracture model based on the aperture values measured on each pressure level, the homogenization analysis was conducted to compute permeability coefficients. The calculated permeability coefficients distribute in the ranges of $10^{-1}~10^{-3}cm/sec$. Most of the specimens show decreasing permeability coefficients with the increase of the applied pressure. However, the decreasing rates of permeability coefficients do not show a constant trend on each pressure level. This phenomenon is well matched to the observation results of Chae et al. (2003). It proves that aperture change strongly influences on permeability characteristics. Three sections of each specimen have all different values of permeability coefficient. It suggests that the variation of permeability coefficient depends sensitively on aperture magnitudes and characteristics of fracture geometry. It is very important to consider accurate fracture geometries for analysis of permeability characteristics in rock fractures bearing different aperture distribution. Therefore, it needs to consider sufficiently the fracture geometries for calculating the permeability coefficients of fractures.

키워드

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