선형회귀분석과 머신러닝을 이용한 암석의 강도 및 암석학적 특징 기반 세르샤 마모지수 추정
Estimation of Cerchar abrasivity index based on rock strength and petrological characteristics using linear regression and machine learning
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초록
TBM (Tunnel boring machine)은 터널 굴착 과정에서 여러 디스크 커터를 이용하여 암석을 절삭한다. 디스크 커터는 암석과의 지속적인 접촉과 마찰로 인해 마모된다. 디스크 커터의 표면이 마모되면 절삭 능력이 감소하고 굴착 효율이 떨어진다. 암석의 마모성은 디스크 커터 마모에 큰 영향을 미친다. 높은 마모도를 가진 암석은 커터에 더 큰 마모를 일으키며, 이는 디스크 커터의 수명을 단축시킨다. 세르샤 마모지수(Cerchar abrasivity index, CAI)는 암석의 마모성을 평가하는데 널리 사용되는 지표로 CAI는 암석의 마모특성을 나타내며, 디스크 커터의 수명과 성능 예측에 필수적인 요소로 인식되고 있다. 본 연구의 목적은 암석의 강도, 암석학적 특성과 선형회귀, 머신러닝 기법을 이용하여 CAI를 효과적으로 추정하는 새로운 방법을 개발하는 것이다. 문헌 조사를 통해 CAI, 일축압축강도, 압열인장강도, 등가석영함량이 포함된 데이터베이스를 구축하고 파생변수를 추가하였다. 통계적 유의성과 다중공선성을 고려하여 다중선형회귀분석을 위한 입력변수를 선정하였고, 머신러닝 모델의 입력변수는 변수중요도 분석을 통해 선정하였다. 머신러닝 예측모델 중 Gradient Boosting 모델의 예측 성능이 가장 높게 나타나 최적의 CAI 예측 모델로 선정되었다. 마지막으로 본 연구에서 도출한 다중선형회귀분석과 Gradient Boosting 모델의 예측 성능을 선행연구들의 CAI 예측모델과 비교하여 연구 결과의 타당성을 확인하였다.
Abstract
Tunnel Boring Machines (TBM) use multiple disc cutters to excavate tunnels through rock. These cutters wear out due to continuous contact and friction with the rock, leading to decreased cutting efficiency and reduced excavation performance. The rock’s abrasivity significantly affects cutter wear, with highly abrasive rocks causing more wear and reducing the cutter’s lifespan. The Cerchar Abrasivity Index (CAI) is a key indicator for assessing rock abrasivity, essential for predicting disc cutter life and performance. This study aims to develop a new method for effectively estimating CAI using rock strength, petrological characteristics, linear regression, and machine learning. A database including CAI, uniaxial compressive strength, Brazilian tensile strength, and equivalent quartz content was created, with additional derived variables. Variables for multiple linear regression were selected considering statistical significance and multicollinearity, while machine learning model inputs were chosen based on variable importance. Among the machine learning prediction models, the Gradient Boosting model showed the highest predictive performance. Finally, the predictive performance of the multiple linear regression analysis and the Gradient Boosting model derived in this study were compared with the CAI prediction models of previous studies to validate the results of this research.
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