By simplifying the bridge-approach embankment load into a trapezoidal semi-infinite strip load, the formulation of the vertical additional stress in the soft soils was derived from the Boussinesq's solution in the elastic mechanics and was applied to describe the non-uniform distribution of the initial pore water pressures. In combination with the recursive formulation of the Laplace transform under the multi-stage loading of bridge approach embankment,the one-dimensional consolidation solution of the viscoelastic saturated layered soft soils was presented by means of the Laplace integral transform and its inverse transform for the Terzaghi's consolidation and Kelvin's viscoelastic stress-strain combinational differential equations. A case study is given to demonstrate the reasonability and reliability of the solution, and the results can be used as the reference in the analysis of the bridge-approach settlement of the soft-soils ground.%将桥台后路堤荷载简化为横截面梯形分布的半无限条形荷载,基于Boussinesq弹性力学解答推导得到桥台后软土地基内竖向附加应力计算公式,由此考虑初始孔隙水压力非均匀分布特性.结合桥台后路堤多级加载的Laplace变换递推公式,运用Laplace变换及其逆变换方法求解Terzaghi固结与Kelvin黏弹性应力应变联合微分方程,获得桥台后路堤多级加载条件下黏弹性饱和成层软土地基固结变形解答.算例分析结果表明:该解答具有合理性和可靠性,计算结果可为桥台后软土地基沉降分析提供参考.
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