频域内饱和多孔介质的参数反演分析

基于Biot理论,假定固体颗粒和孔隙内流体均不可压缩,建立了以固体骨架位移表示的的控制方程.考虑单层饱和多孔介质在竖向简谐荷载作用下一维动力响应,通过理论推导获得了骨架位移、应力以及孔隙流体压力等物理量的解析表达式.基于饱和土的简谐动力模型试验数据,与所得到的理论解答相结合,将饱和多孔介质材料参数反演问题归结为非线性多峰函数的最优化问题.全局最优解的求解采用了遗传算法和模拟退火算法,并通过试验和数值算例验证了所得材料参数的正确性.

Parameter inversion analysis of saturated porous media in frequency domain

Based on the Biot theory,the governing equations in terms of displacement of solid skeleton are derived,where the solid particles and fluid are assumed to be incompressible.The analytical expressions of the skeleton displacement,the soil pressure and pore fluid pressure are obtained by theoretical derivation,in which for one-dimensional transient response of single-layer fluid-saturated porous media loaded harmonic at its top surface is take into account.According to the principle that the test data of harmonic dynamic model of saturated soil and theoretical solutions should be fitted,the parameter inversion problem of porous media is reduced to opti-mal problem of non-linear multimode function.The genetic algorithm and simulate annealing are sued to search for the global optimal solution,and by experiments and numerical examples are demonstrate the correctness of the presented solution.