A Study on the Quantified Criteria in Determining the Geostructural Domain of Fractured Rock Mass

절리암반내 지구조구 설정을 위한 정량적 기준에 대한 연구

  • 엄정기 (부경대학교 환경탐사공학과) ;
  • 조태진 (부경대학교 환경탐사공학과) ;
  • 권순진 (대한광업진흥공사)
  • Published : 2006.02.01

Abstract

This study addresses the applicability of box fractal dimension, $D_B$, as an index of statistical homogeneity of fractured rock mass. The box-count method's capability in quantifying the combined effect of fracture density and size distribution is examined systematically. Total of 129 two-dimensional fracture configurations were generated based on different combinations of fracture size distribution and fracture density. $D_B$was calculated for the generated fracture network systems using the box-counting method. It was found that was standard deviation of trace length and fracture orientation have no effect on calculated $D_B$. The estimated $D_B$ was found to increase with increasing total density and/or mean trace length. To explore the field applicability of this study, the statistical homogeneity of fractured rock mass was investigated at the rock slope and the underground facility using the box-counting method as well as conventional contingency table analysis. The results obtained in this study clearly show that the methodologies given in this paper have the capability of determining the statistical homogeneity of fractured rock mass.

본 연구는 절리암반의 통계적 동질성에 대한 정량적 기준으로 절리의 평면밀도 및 길이를 동시에 고려할 수 있는 통계적 모수인 박스프랙털$(D_B)$의 적용성에 대해 논하였다. 길이분포와 평면밀도를 달리하는 총 129개의 절리연결망에서 박스 집계법을 이용하여 절리의 길이분포와 평면밀도의 변화에 따른 $D_B$의 변화특성을 고찰한 결과 $D_B$는 절리의 방향 또는 절리길이의 표준편차 변화에 영향을 받지 않고 전체절리에 대한 평균 절리길이와 평면밀도에만 영향을 받는다는 사실을 검증하였다. 또한 $D_B$는 절리의 길이와 평면밀도의 함수로써 공학적 지구조구 구분의 정량적 척도로 활용될 수 있음을 입증하였다. 본 연구의 현장 적용성을 검토하기 위하여 도로사면 및 지하구조물에서 박스 집계법을 적용한 사례연구를 수행하였다. 통계적 동질구역 구분에 있어서 일반적인 지질조건와 더불어 기존의 분할표 해석과 본 연구의 방법론을 병행하면 절리의 방향성, 평균길이 및 평면밀도가 종합적으로 고려된 공학적 지구조구의 구분이 가능할 것으로 사료된다.

Keywords

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