Laplace变换解双层地基固结问题  

Solution of one-dimensional consolidation for double-layered ground by Laplace transform

作　　者：王新辉[1] 缪林昌[2] 高健康 赵■ 

机构地区：[1]东南大学建筑设计研究院交通分院,南京210096 [2]东南大学岩土工程研究所,南京210096 [3]深圳市工勘岩土工程有限公司,深圳518026 [4]江苏省高速公路建设指挥部,南京210004

出　　处：《岩土力学》2005年第5期833-836,共4页Rock and Soil Mechanics

基　　金：江苏沿海地区高速公路海相软土地基变形特性与应用研究资助项目(No.02Y13)。

摘　　要：连云港地区的软土是海相淤泥和淤泥质土。在连云港软土地区修筑高速公路时,通常采用水泥土搅拌桩地基处理方法使路基强度和变形满足工程的要求。该类软土压缩沉降量大,排水固结缓慢,地基稳定性差,造成高速公路建设中及建成后工程问题频繁出现。从江苏海相软土的工程实例出发,将经水泥土搅拌桩处理后的高速公路路基简化为双层地基,借助Laplace变换求解了二级加荷下的双层地基一维固结问题,为克服对固结方程进行Laplace逆变换的困难,在Laplace逆变换中运用Stehfest算法进行数值求解,该双层地基固结沉降计算结果与实际观测数据基本一致。Lianyungang marine soft clay is muck and mucky soil. When the expressway was built in the district, the soft clay foundation was often treated by cement-soil piles. This marine soft clay is of high compression, lower drainage consolidation and poor stability for its roadbed. During engineering construction, the phenomena, as larger settlement deformation, crack and slide, often took place on the embankment. Based on practical project for Jiangsu marine soft clay, the composite ground of cement-soil piles is simplified into the double-layered ground. The one-dimensional consolidation of the double-layered ground is solved by means of Laplace transform for two-step loading. To get over the difficulty of solving the inversion of Laplace transform, Stehfest numerical transform is applied here. The results of calculating settlements of the double-layer consolidation theory are in agreement with the measuring settlements.

关 键 词：江苏海相软土 双层地基 LAPLACE变换 Stehfest算法 沉降 

分 类 号：TU472[建筑科学—结构工程]