节点文献
基于尖点突变模型的地震液化和孔压研究
Earthquake-Induced Liquefaction and Pore Water Pressure Based on Cusp Catastrophe Model
【摘要】 地震液化是一种严重的自然灾害 ,然而如何准确判断液化目前作的还很不成功。本文以经过持时修正的能量函数和经过粘粒及上覆压力修正的标贯击数为控制变量 ,以孔压发展为状态变量 ,根据液化的物理意义、室内孔压发展曲线的特点和国内外实测液化资料 ,建立了基于修正Zeeman突变方程的孔压液化发展模型。在此基础上 ,利用统计学中控制“弃真”概率的方法 ,确定了分叉曲线和新旧坐标之间的转换关系并且从统计的角度给出了不同土的孔压发展曲线。从孔压发展曲线看 ,对于R >0的任何土 ,超静水压力均达不到 1,其实这正好反映了宏观液化现象。在宏观震害中 ,只要有喷水冒砂现象即认为是液化 ,超静水压力只要能克服埋深而无须达到上覆压力即可使地下水到达地面从而显现宏观液化现象。检验结果表明这一模型是合理的。
【Abstract】 Earthquake liquefaction, a serious natural disaster, cannot be predicted successfully enough up to now. A modified model based on Zeeman equation of cusp catastrophe, which illustrates progress of liquefaction, is established, where the earthquake energy function corrected by duration and, the below count of SPT by clay content and overburden pressure, are taken as two individual controlling variables, the ratio of shake-inducing pore water pressure to effective confining pressure is considered as the state variable. Simultaneously, the development pattern of pore water pressure induced by cyclic loading under undrained conditions achieved by experimental tests, triggering condition of liquefaction based on pore water pressure and damage records of liquefaction observed in previous earthquakes are taken into account. The statistical method based on the validation hypothesis for controlling the first type of error is used to determine parameters, bifurcated curve and transformation relationship, the curves of earthquake-induced pore water pressure are given for various kinds of soils. It is found that the ratio is smaller than unit for various soils as R is larger than zero and this conclusion coincides well with the earthquake liquefaction phenomenon. Earthquake liquefaction occurrence can be defined when water jets or sand boils from underground which induced by water pressure only when it is larger than depth of water table and unnecessaryly larger than effective confining pressure. It is verified by the test results that the proposed model is reasonable and expected to predict liquefaction potential and shake-inducing pore water pressure.
【Key words】 earthquake liquefaction; cusp model; earthquake duration; clay content; corrected below count of SPT; transformation of coordinate.;
- 【文献出处】 应用力学学报 ,Chinese Journal of Applied Mechanics , 编辑部邮箱 ,2004年04期
- 【分类号】TU435
- 【被引频次】6
- 【下载频次】133