初始孔压非均布竖向排水井地基固结方程的解析解

Analytic solution of consolidation equation for soft soil with vertical drains subject to non-uniformly distributed initial pore water pressure

推导了等应变条件下初始孔压任意分布的竖向排水井地基固结一般解,并具体给出了初始孔压为梯形、正三角形、倒三角形分布时的相应解。现有等应变条件下打穿竖向排水井地基固结理论解为本文解的特例。根据所得一般解编制了计算程序,以分析初始孔压非均布条件下的竖向排水井地基的固结性状,并结合工程实例进行计算分析,与实测数据作了比较。结果表明,初始孔压分布形式对竖向排水井地基固结性状有重要的影响,并且对地基中超静孔压的影响比对固结度的影响更为显著;在单面排水条件下,初始孔压为倒三角形时竖向排水井地基固结最快,初始孔压为正三角形分布时固结最慢;在双面排水条件下,竖向排水井地基固结速率不受初始孔压分布形式的影响;考虑初始孔压非均布的本文理论与实际接近。

The consolidation of soft soil with vertical drains subject to non-uniformly distributed initial pore water pressure was studied and a general analytic solution was obtained under equal strain condition. The exact analytic solutions corresponding to trapezoidal distribution, triangular distribution and inverse triangle distribution of initial pore water pressure were deduced consequently. The consolidation theory for vertical drains under equal strain condition so far available was just a special case of the general solution. The computation programs for these solutions were developed and the consolidation behavior of soft soil with vertical drains subject to non-uniformly distributed initial pore water pressure was investigated. A case study was carried out and the result was compared with the observation data. It shows that the distribution form of initial pore water pressure obviously influence the consolidation behavior, and the influence is more significant on excess pore water pressure in soil than on consolidation degree. In condition of single-drainage, the rate of consolidation is fastest when the distribution of initial pore water pressure is in inverse triangular pattern, while it will be the slowest when the distribution is in a regular triangular pattern. For the condition of double-drainage, the rate of independent is independent of the distribution form of initial pore water pressure.