邓肯-张模型参数反演的两种不适定问题

Two Ⅲ-posed Problems in the Back Analysis of Duncan-Chang Model Parameters

摘要:

利用邓肯-张模型进行参数反演时,不同的参数反演策略会存在不适定问题。结合参数反演的函数图形分析,指出在邓肯-张模型参数反演的过程中,基于φ反演E_t,基于c反演E_t,基于c,φ反演E_t时都会存在两种不适定问题。基于函数导数分析方法,结合莫尔-库仑准则表达式,解释邓肯-张模型参数反演产生两种不适定问题的原因,并提出消除方法。结果表明,邓肯-张模型参数的表达式是产生两种不适定问题的根源。

Abstract:

Ⅲ-posed problems exist in the Duncan-Zhang model parameters upon the inclusion of different inversion strategies.These ill-posed problems are graphically demonstrated and analyzed, including with inversion-base,with inversion-based,and with inversion-based.On the basis of functional analysis in combination with the Mohr-Coulomb criterion expressions,this study explains two ill-posed problems in the Duncan-Zhang model parameters inversion.Furthermore, a method for the reduction of these two ill-posed problems is proposed.The results show that the Duncan-Chang model parameter expressions produce the root causes of these two ill-posed problems.