CAJ | 학술논문

在岩土工程实践中对于诸如各向异性岩体的应力-渗流耦合分析等复杂问题,建立用于同时确定多类参数的反分析方法具有重要意义.以位移量测信息为基础信息,对基于复变量微分法的优化算法(Levenberg-Marquit法)引入异步长因子矩阵()kY ,建立同时反演确定初始地应力、围岩性态参数和渗透系数的协同优化变步长反演算法.对不同的参数借助搜索迭代过程,确定不同的步长因子系数.异步长因子矩阵可使在峰值附近不收敛的参数重新选择搜索方向,使其收敛至精确值.算例表明,异步长因子矩阵可成功地用于协调各类参数敏感性之间的差异,从而有效改进多参数耦合反演的收敛性和收敛速度,使算法具有更好的适应性和有效性,为岩土工程的复杂问题的求解提供一种方法.
재암토공정실천중대우제여각향이성암체적응력-삼류우합분석등복잡문제,건립용우동시학정다류삼수적반분석방법구유중요의의.이위이량측신식위기출신식,대기우복변량미분법적우화산법(Levenberg-Marquit법)인입이보장인자구진()kY ,건립동시반연학정초시지응력、위암성태삼수화삼투계수적협동우화변보장반연산법.대불동적삼수차조수색질대과정,학정불동적보장인자계수.이보장인자구진가사재봉치부근불수렴적삼수중신선택수색방향,사기수렴지정학치.산례표명,이보장인자구진가성공지용우협조각류삼수민감성지간적차이,종이유효개진다삼수우합반연적수렴성화수렴속도,사산법구유경호적괄응성화유효성,위암토공정적복잡문제적구해제공일충방법.
A new method for determining of parameters simultaneously in the coupled seepage-stress analysis in anisotropic rock is essential for large-scale cavern shape selection, stability analysis, and rock support system design. Based on the Levenberg-Marquit optimization method, a modified method has been put forward by employing a new step factor matrix Y , in order to calculate both ( )k of the parameters of rock mass modulus (E), the in situ stress (P) and the permeability coefficient (K) in the back analysis. Compared with traditional step factor in optimization algorithm, the new step factor matrix ( )kY can change the step factors respectively according to the different sensitivities of parameters, with which a new algorithm is established on MATLAB platform. Two case studies show the method’s feasibility and validity in the coupled seepage-stress analysis in a anisotropic rock tunnel engineering;and the results demonstrate that the modified method with new step factor can improve convergence of iterative algorithm obviously which cannot be solved with traditional step factor.