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Estimation of Hoek-Brown Constant mi for the Basaltic Intact Rocks in Jeju Island

제주도 현무암의 Hoek-Brown 계수 mi의 추정

  • Yang, Soon-Bo (Port and Airport Research Institute, National Institute of Maritime, Port and Aviation Technology)
  • 양순보 (일본 국립연구개발법인 해상.항만.항공기술연구소 항만공항기술연구소)
  • Received : 2020.07.14
  • Accepted : 2020.09.15
  • Published : 2020.10.31

Abstract

In this study, Hoek-Brown constants (mi) were calculated through nonlinear regression analyses using the results of the triaxial compression tests for the basaltic intact rocks in Jeju Island. The relationships of the mi with the uniaxial compressive strength (UCS), Brazilian tensile strength (BTS) and UCS/BTS of the Jeju basalts were investigated, respectively. In addition, a method that can be used in determining Hoek-Brown failure envelopes including the tensile and compressive failures of the Jeju basalts has been proposed. As results, the mi values had no clear correlations with the UCS, BTS and UCS/BTS of the Jeju basalts, but there were two strong correlations between UCS and mi/UCS, and between BTS and mi/BTS of the Jeju basalts. In addition, it was found that the tensile strengths calculated by the Hoek-Brown failure criterion underestimate the tensile strengths of the Jeju basalts through the relationship between the mi and UCS/BTS of the Jeju basalts. The method presented in this study is considered to be useful in determining the Hoek-Brown failure envelope for the tensile and compressive failures of the Jeju basalts.

본 연구에서는, 제주도 현무암 암석의 삼축압축시험 결과에 대한 비선형 회귀분석을 통하여 Hoek-Brown 계수(mi)를 계산하였다. 그리고 제주도 현무암 암석의 일축압축강도(UCS), 압열인장강도(BTS) 및 압열인장강도에 대한 일축압축강도의 비(UCS/BTS)와 mi의 관계를 각각 살펴보았으며, 제주도 현무암의 Hoek-Brown 파괴 포락선을 결정하는데 있어서, 인장 및 압축파괴영역에서 이용할 수 있는 방법을 제안하였다. 그 결과, 제주도 현무암 암석의 UCS 및 BTS와 mi 사이에는 뚜렷한 상관관계가 없었으며, UCS와 mi/UCS 및 BTS와 mi/BTS 사이에는 멱함수와 지수함수의 상관관계가 있음을 알 수 있었다. 제주도 현무암의 UCS/BTS와 mi 사이에는 뚜렷한 상관관계가 없었으며, Hoek-Brown 파괴기준에 의해 계산되는 인장강도는 제주도 현무암의 인장강도를 과소평가하고 있다는 것을 알 수 있었다. 본 연구에서 제시한 방법은, 제주도 현무암의 인장 및 압축파괴영역에 대한 Hoek-Brown 파괴 포락선을 결정하는데 있어서 유용하게 이용할 수 있을 것이라 사료된다.

Keywords

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