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边界元法是70年代发展起来的一种新的数值计算方法。本文把边界元法应用于求解真空压力和堆载压力作用下的软粘土砂井地基固结变形的平面应变问题。笔者在文中推导了线性比奥固结理论的边界积分方程,并结合天津新港软土地基的真空预压袋装砂井加固工程就真空预压和堆载预压两种情况进行了计算对比分析;对于砂井地基和无砂井地基的预压效果问题也进行了相应的计算;在文中还把边界元、有限元及差分的计算结果与实测值做了对比。
The boundary element method is a new numerical method developed in the 1970s. In this paper, the boundary element method is applied to solve the plane strain problem of consolidation and deformation of soft clay sand wells under the action of vacuum pressure and surcharge pressure. The author deduced the boundary integral equation of Linear Biot’s consolidation theory in the paper, and compared and calculated the vacuum preloading and surcharge preloading in the vacuum preloading sand well reinforcement project of Tianjin Xinang soft ground. For the pre-compression effect of sand-drained foundation and sandless foundation, corresponding calculations are also carried out. The calculation results of boundary element, finite element and difference are also compared with the measured values.