岩石力学参数反分析的变分伴随方法研究

STUDY ON VARIATIONALADJOINT BACK ANALYSIS OF ROCK MECHANICS PARAMETERS

在岩土工程参数反分析中,针对梯度类优化方法中梯度向量计算量大且难以求解的问题,引入变分伴随向量,提出了岩石力学参数反分析的变分伴随方法,推导出梯度向量的显示计算公式,梯度向量能够一次性全部算出,计算方便快捷。最后通过数值算例,对比分析表明该方法的有效性。

For the parameter back analysis problems in the field of rock mechanics, excessive computational costs and time-consuming grads calculation in grades optimization methods are often a great challenge. A concept of adjoint vector of grads vector is proposed and a variational adjoint method is developed to calculate the grades vector for the parameter back analysis. All grades vectors can be derived at the same time. The formulation for the presented method is simple and the computing time is short. It can be found from the results that the method is feasible and valid. A case study shows that the developed method is reasonable and applicable for practical problems.