吹填淤泥自重固结方程的有限差分解
Finite Difference Method Solution on Self-weight Consolidation Equation of Dredged Fill
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摘要: 考虑吹填淤泥落淤阶段以自重固结为主, 以及自重固结过程中渗透系数及有效应力与体积分数之间的非线性关系, 在合理假定条件下, 推导了一维自重固结方程.采用Crank-Nicolson型差分格式对方程进行离散, 编制了差分数值解程序SFCCP, 对落淤后自重固结过程中吹填淤泥孔隙比的变化进行了数值模拟, 结果与现场测试结果较为吻合, 验证了分析方法的合理性与差分数值解程序的正确性, 同时为软基处理前落淤后吹填淤泥的土性参数提供了一种预测方法.Abstract: Considering of self-weight consolidation as the main effect during self-weight deposition and the nonlinear relationship between effective stress, permeability coefficient and solid volume fraction during self-weight consolidation, one dimension self-weight consolidation governing equation of dredged fill was established based on some reasonable assumptions.The new equation was discreted by the Crank-Nicolson difference format and solved by the finite difference numerical solution SFCCP computing program.Numerical simulation of the void ratio for dredged fill was conducted by the SFCCP computing program during self-weight deposition.It shows that the void ratio results based on the new model are close to the results from in-situ tests, that the rationality of the analytical model and correctness of finite difference numerical solution program are validated.The new equation can also provide a favorable prediction on physical mechanical indices for self-weight deposition.