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将土性参数中的压缩模量建模为随机场而非传统意义上的随机变量,利用随机场的局部平均理论,确立了计算参数由点特性过渡到空间平均特性的方差计算方法。结合目前基础设计中主流的沉降计算方法(分层总和法),推导了能够反映土性参数空间变化特性的基础沉降表达式,地基土分单层和多层两种情况;在假定自相关函数的条件下,利用5点Gauss积分,实现了基础沉降概率反映特性的一次二阶矩分析,进而提出了基础沉降的概率预报方法及给定沉降控制标准下的可靠性分析步骤;避免了随机场模拟的复杂性和Monte-Carlo抽样的庞大计算量,实现了与通常计算方法相互兼容的目的,便于一般工程设计人员所采用。最后,通过一个工程算例再现了此方法的分析过程和适用性。这对岩土工程的风险评价和可靠度分析具有重要的应用价值。
Computation of compressive modulus of soil parameters as a random field instead of a random variable in the traditional sense, using the local averaging theory of random field, established a method of calculating the variance of the parameters from point to space. Combined with the mainstream settlement calculation method (stratified summation method) in the current basic design, the basic settlement expression reflecting the spatial variation characteristics of the soil parameters is deduced. In the case of the assumption of the autocorrelation function , Using the 5-point Gauss integral to realize the first-order second moment analysis of the probability of the foundation settlement, and then put forward the probability forecast method of the foundation settlement and the reliability analysis step under the given settlement control standard. It avoids the random field The complexity of the simulation and the huge computational complexity of the Monte-Carlo sampling allow for the purpose of being compatible with the usual methods of calculation and are readily available to general engineering designers. Finally, the analysis process and applicability of this method are reproduced through an engineering example. This geotechnical risk assessment and reliability analysis has important application value.