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作为工程实际中评价岩体性质的重要指标,RQD的应用已相当广泛。但工程岩体中RQD值的分布存在一定的结构性和随机性,因此,通过对特定位置钻探获取的RQD值无法很到位地表达整个空间区域的实际岩石质量。为了弥补这方面的不足,统计学中的空间插值法为此提供了有力的手段。考虑到空间RQD分布存在各向异性,以及在工程坐标系中很难描述RQD分布的结构性,首先计算工程坐标系下已获取RQD值的主要黑塞方向(p Hd);然后构建空间旋转与比例缩放矩阵对其进行坐标标准化处理。在标准化的空间中,引入Kriging插值法,采用变异函数描述RQD在标准空间结构上的变化,建立其空间变异规律的数学模型,并对其进行插值计算;最后将标准空间进行坐标逆变换,实现了对工程坐标系下RQD分布的预测。利用R语言编程将该方法应用于工程实例,结果表明,这种空间插值法能够有效地预测工程岩体中RQD值的分布规律,弥补了局部钻探的局限性。
As an important index to evaluate the nature of rock mass in engineering practice, the application of RQD has been quite extensive. However, the distribution of RQD values in engineering rock mass is somewhat structural and random. Therefore, the actual rock mass of the entire spatial region can not be expressed by the RQD value obtained by drilling at a specific location. In order to make up for the deficiency in this aspect, the spatial interpolation method in statistics provides a powerful means for this. Considering the anisotropy of spatial RQD distribution and the difficulty in describing the structural properties of RQD distribution in engineering coordinate system, we first calculate the dominant Hedging direction (p Hd) of the RQD values in engineering coordinate system. Then we construct space rotation and The scaling matrix is used to standardize the coordinates. Kriging interpolation is introduced into the standardized space, and the variogram is used to describe the change of RQD in the standard spatial structure. The mathematical model of the spatial variation of RQD is established and interpolated. Finally, the standard space is transformed inversely to achieve The prediction of RQD distribution in engineering coordinate system is presented. The method is applied to the engineering example using R language programming. The results show that the spatial interpolation method can effectively predict the distribution of RQD values in engineering rock mass, and make up for the limitations of local drilling.