A novel approach for estimating foundation bearing capacity, conditioned by soil sounding locations in the case of spatially variable soil properties, is proposed in the study. This method uses a kinematic approach in conjunction with Vanmarcke spatial averaging, which substantially improves the numerical efficiency when solving three-dimensional problems over that of existing methods. Therefore, the approach can be used in optimization procedures dedicated to the search for optimal soil sounding locations, i.e., the locations for which the lowest possible bearing capacity standard deviation is obtained. This paper provides a complete algorithm for considering soil soundings in the bearing capacity estimation of rectangular foundations. The application of the algorithm for two soil sounding locations is described in this study, the obtained numerical efficiency is very high; namely, one bearing capacity estimation of a rectangular foundation takes approximately 0.5 s on a standard notebook. The potential applications of this algorithm are also discussed in the study.

中文翻译：

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矩形基础承载力计算中空间变量土的测深位置优化

在研究中，提出了一种新的估算地基承载力的方法，该方法是在空间变化的土壤特性情况下，由测深位置确定的。该方法结合了Vanmarcke空间平均使用了运动学方法，与现有方法相比，它在解决三维问题时大大提高了数值效率。因此，该方法可用于优化过程中，该过程专用于寻找最佳土壤探测位置，即获得最低可能承载力标准偏差的位置。本文为矩形基础的承载力估算提供了一种考虑土壤测深的完整算法。本研究描述了该算法在两个土壤探测位置的应用，得到的数值效率很高。也就是说，在标准笔记本电脑上，一个矩形基础的承载力估算大约需要0.5 s。该研究还讨论了该算法的潜在应用。