基于规划算法的多层地基一维固结超孔隙水压力估算

Calcution on Excess Pore Pressure of Multi-Layered Soil Under One-Dimensional Consolidation Based on Optimization Algorithm

采用最小势能原理的规划算法,尝试将太沙基一维固结解析解中参数离散,求解多层地基的固结问题。本文在弹性地基及孔隙比与有效应力增量线性关系的假设下,以分层土总势能公式作为规划算法求解的目标函数,并将固结离散为n个部分进行,通过离散的太沙基解析式进行时间约束,建立了数学规划模型。该模型可依据平均固结度求解多层地基各单元超孔隙水压力分布。通过2个算例对规划算法进行了验证,文章所提出的模型计算得到的超孔隙水压力分布与引证文献中解基本一致,同时讨论分析了规划算法在压缩模量变化较大的地基中的误差问题。

The article intends to explore a discrete method based on the Terzaghi one-dimensional analyti- cal solution, and builds up a mathematical model for layered soils consolidation calculation based on opti- mization algorithm and the principle of minimum potential energy. Assuming that the foundation is the pure elastic and the relationship of void ratio and effective stress is linear, this paper proposes a layered soil total potential energy formula as an objective function for the planning algorithm, discrete the consoli- dation process to n part , and establishes a mathematical programming model by making special discreted Terzaghi solution as a kind of time constraints. The model can evaluate the excess pore water pressure dis- tribution at a certain average degree of consolidation of layered soils. Two examples indicates that the ex- cess pore pressure distribution calculated by the model are basically the same with citations. This paper al- so discusses the planning algorithm＇s error in the foundation where the compression modulus changes large- ly.