基于高分辨率Radon变换的瑞利波反演在役路基动模量

Rayleigh wave back-calculation for the dynamic modulus of subgrades in service based on the high resolution linear radon transform

为了探索在役路基动模量的一种动态反演与成像方法,该研究通过瑞利波在弹性层状体系中的理论频散方程,揭示了瑞利波在基准路基路面结构中的理论频散特征,基于高分辨率线性Radon变换建立了路基路面结构中瑞利波频散曲线的提取方法。在结合高分辨线性Radon变换提取的频散曲线与路基工作区细化分层的基础上,建立了在役路基工作区动模量的反演成像方法。通过在足尺道路试槽内点对点依次进行瑞利波、落锤式弯沉仪(falling weight deflectmeter,FWD)、承载板和弯沉测试,建立了各测试指标之间的关系。结果显示,瑞利波反演的路基动模量与其他测试方法相应结果的相关系数均大于0.80,且反演成像结果能够正确、清晰地反映路基承载能力与压实工况。

In order to explore a dynamic inversion and imaging method for the dynamic modulus of subgrades in service,the theoretical dispersion characteristics of Rayleigh wave in the base subgrade and pavement structure were revealed by using the theoretical dispersion equation of Rayleigh wave in elastic layered systems.Based on the high resolution linear Radon transform,the extraction method for the Rayleigh wave dispersion curve in the subgrade and pavement structure was established.Combinedly making use of the dispersion curve extracted by the high resolution linear Radon transform and the finely subdivided layer of subgrade working area,the inversion imaging method of the dynamic modulus in the working area of subgrades in service was put forward.Through the tests of the Rayleigh wave,falling weight deflectmeter(FWD),bearing plate and deflection,point-to-point in a full-scale road test slot,the correlations between measurement indices were established.The results show that all the correlation coefficients are more than 0.80,which indicates the back-calculation imaging results can accurately and clearly reflect the subgrade bearing capacity and compaction conditions.