从混合物理论出发 ,建立了以土体颗粒体积含量为控制变量的土体静水沉降方程。该模型具有一阶非线性波动方程的形式 ,因此 ,可以将泥沙开始沉降的过程看作是一个出现激波的过程。在此基础上得到了某些特殊条件下的Lagrange级数解答。最后 ,通过尾矿沉降池实例分析 ,验证了所得解答的合理性和有效性。 Starting from the theory of the mixture, a settling equation of the hydrostatic settlement of the soil with the volume content of the soil particles as the control variable was established. The model has the form of a first-order nonlinear wave equation. Therefore, the process of sediment settlement can be regarded as a shock wave. On this basis, the Lagrange series solution under some special conditions is obtained. Finally, an example of tailings settlement pool was used to verify the rationality and effectiveness of the obtained solution.