CAJ | 학술논문

为探讨高风化岩质边坡参数的内在变异性，结合一阶可靠性理论（FORM）、改进拉丁超重要立方采样法（LHIS）的数值分析方法，对实际工程中的高风化岩质边坡进行概率稳定性分析。充分考虑高风化岩质边坡的岩石参数的空间变异性对边坡稳定性的影响，利用 LHIS 模拟计算得到安全系数的概率分布，同时利用 FORM确定临界失稳破坏面的概率进行初步的敏感性分析，从而确定模型输入参数对边坡稳定性的影响；利用 Spencer 极限平衡法求出失稳破坏面的 Fs 来评价功能函数 G（X）的值，并计算可靠性指标。结果表明：考虑岩石参数的空间变异性比传统单一变量更能真实反映高风化岩质边坡的特征；利用 LHIS 能比传统的抽样方法明显减少模拟次数，提高效率；可靠性理论及概率稳定性分析方法比传统的极限平衡法更适用于评价岩土参数空间变异的高风化岩质边坡的安全性。
위탐토고풍화암질변파삼수적내재변이성，결합일계가고성이론（FORM）、개진랍정초중요립방채양법（LHIS）적수치분석방법，대실제공정중적고풍화암질변파진행개솔은정성분석。충분고필고풍화암질변파적암석삼수적공간변이성대변파은정성적영향，이용 LHIS 모의계산득도안전계수적개솔분포，동시이용 FORM학정림계실은파배면적개솔진행초보적민감성분석，종이학정모형수입삼수대변파은정성적영향；이용 Spencer 겁한평형법구출실은파배면적 Fs 래평개공능함수 G（X）적치，병계산가고성지표。결과표명：고필암석삼수적공간변이성비전통단일변량경능진실반영고풍화암질변파적특정；이용 LHIS 능비전통적추양방법명현감소모의차수，제고효솔；가고성이론급개솔은정성분석방법비전통적겁한평형법경괄용우평개암토삼수공간변이적고풍화암질변파적안전성。
In this paper,a numerical analysis procedure which integrates the first-order reliability method (FORM) and the modified Latin hypercube sampling technique (LHIS)is adopted in the probabilistic stability analysis to ex-plore the inherent variability of parameters of a highly weathered rock slope in practical engineering.Effects of spa-tial variability of parameters on the slope stability are taken into consideration.The LHIS technique is employed to calculate the probability distribution of safety factor,and meanwhile the FORMis used to determine the critical fail-ure surface and conduct preliminary sensitivity analysis,then the influence of model input parameters on slope sta-bility is obtained.Moreover,Spencer’s limit equilibrium method is employed to calculate the value of Fs of the in-stability failure surface and to evaluate the function G(X)and then to calculate the reliability index.Results reveal that the characteristics of highly weathered rock slope can be more truly reflected by considering the spatial variabil-ity of parameters rather than traditional single parameters;the number of simulation is apparently reduced and the efficiency is improved by using LHIS rather than using traditional sampling method;the reliability theory and proba-bilistic stability analysis method are more suitable to analyze the effect of parameter’s spatial variability on the safe-ty of highly weathered slope than traditional limit balance method.