Interpolation and optimal linear prediction

This paper is concerned with the interpolation of spatially distributed observations of a quantitative phenomenon, sometimes referred to as kriging. This activity can be understood as a prediction procedure for values of random functions under stationarity assumptions in a polynomial linear regression context. After a heuristic and an exact derivation of the best linear unbiased prediction procedure (and the variance of prediction error) if the covariance function relating covariance between two possible observations to their mutual distance is known, follows the introduction of weaker assumptions admitting the definition of the variance only for increments of a certain order by a pseudoco–variance function. A particular related case is the so–called semivariogram for increments of order one. The prediction procedure turns out to be similar to that in the previous situation. The weaker assumptions allow an unbiased estimation of the unknown pseudocovahance function of polynomial form under restrictions imposed by Fourier transformation. Extension from point–wise observations or predictions to area or volume averages is touched upon.     

核电工程倾斜层状岩石地基横观各向同性分析

以某核电工程项目的岩土工程勘察为实例,从地质特征、地基岩石力学性质指标、地基岩体不同方向模量变化特征和地基岩体不同方向波速变化特征等静态和动态方面对倾斜层状岩石地基的横观各向同性进行了分析评价。结果表明,本核电项目核岛地基在平行于水平方向上是各向同性的,在核岛地基基础设计分析中可简化为均质成层地基。