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对于立性随深度变化的情况,讨论了不排水剪切强度Cu空间变异性的随机场概率统计模型。由于现有的土层随机场模型都是针对平稳随机场,即立性的随机分量的,所以首先要用回归的方法分离出趋势分量来,然后才能对随机分量进行模拟。认为在进行岩土工程可靠度分析时,不仅要考虑抽样所带来的误差,还要考虑立性本身的空间变异性。并用不排水剪强度Cu的变异性来计算粘性土中单桩承载力的方差,旨在阐明随机场理论在岩土工程可靠性分析中的应用。最后用一个算例作了具体说明。
In the case of the change of the verticality with depth, the random field probability statistical model of undrained shear strength Cu spatial variability is discussed. Since all existing stochastic field models are aimed at stationary stochastic fields, that is, stochastic components, they must first be separated by regression and then the stochastic components can be simulated. It is considered that when analyzing the reliability of geotechnical engineering, not only the error caused by sampling but also the spatial variability of the identity itself should be considered. The variance of bearing capacity of single pile in cohesive soil is calculated by the variability of undrained shear strength Cu. The purpose is to clarify the application of random field theory in the reliability analysis of geotechnical engineering. Finally, a case study made a specific explanation.