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A modified initial in-situ Stress Inversion Method based on FLAC3D with an engineering application

机译：一种基于FLAC3D的改进的初始地应力反演方法及其工程应用

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To improve the accuracy of an initial in-situstress field determined by inversion, we describe a modified initial in-situ stress inversion method that uses partialleast-squares regression based on FLAC3D. First, eachstress component is regressed to improve the fitting accuracyof locally abnormal stress regions, and then the relationshipbetween element stress and unbalanced nodeforce is analyzed according to the computational principlesof FLAC3D. The initial in-situ stresses obtained fromthese regression calculations are added to a numericalmodel, and the unbalanced node forces are recalculated.An external force equal to the recalculated unbalancednode force is then exerted on the node in the direction opposingthe original unbalanced node force to satisfy theequilibrium condition. For the in-situ stresses of elementsthat do not satisfy the strength conditions, they are modified by assuming the average stress is constant and reducingthe partial stress to satisfy the equilibrium andstrength conditions, which also resolves the unreasonabledistribution of the boundary nodal forces and results ingood regression estimates. A three-dimensional hypersurfacespline interpolation method is developed to calculatethe in-situ stress tensor at arbitrary coordinates. Finally,we apply this method to an underground engineeringproject, and the results are shown to agree well withthose obtained from field monitoring. Therefore, it is concludedthat this modified in-situ stress inversion methodcould effectively improve the fitting accuracy of locally abnormalstress regions.
机译：为了提高反演确定的初始地应力场的准确性，我们描述了一种改进的初始地应力反演方法，该方法使用了基于FLAC3D的偏最小二乘回归。首先，对每个应力分量进行回归，以提高局部异常应力区域的拟合精度，然后根据FLAC3D的计算原理，分析单元应力与不平衡节点力之间的关系。将通过这些回归计算获得的初始原位应力添加到数值模型中，然后重新计算不平衡节点力，然后将与重新计算的不平衡节点力相等的外力沿与原始不平衡节点力相反的方向施加到节点上，以达到平衡健康）状况。对于不满足强度条件的单元的原位应力，可通过假设平均应力为常数并减小局部应力来满足平衡和强度条件来对其进行修改，这也解决了边界节点力的不合理分布并导致良好的回归估计。提出了一种三维超曲面样条插值方法来计算任意坐标下的原地应力张量。最后，我们将该方法应用于地下工程，结果表明与现场监测结果吻合良好。因此，可以得出结论，这种改进的原地应力反演方法可以有效提高局部异常应力区域的拟合精度。

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