滑动最小二乘法深部地层应力场模拟计算中的应用研究

介绍了滑动最小二乘法对地应力场的模拟分析与现场应用。在对滑动最小二乘法的计算原理进行理论分析、建立计算模型的同时，用实测的孔隙压力场数据进行拟合，拟合的效果与模型中所选的已知数据组数、计算模型中的2个校正系数等因素有关。对拟合计算中有关因素的影响大小进行了分析，其主要影响因素为已知数据组数，其次是2个可调节的修正系数，然后是数据的大小。此外还讨论了滑动最小二乘法中边界拟合效果的问题以及这种方法的稳定性，滑动最小二乘法对边界有较好的模拟效果，稳定性也很好。给出了有关基函数和权函数的选取建议，以便提高拟合精度。最后为了将所提出的计算模型更有效地用于实际的工程，对于其具体使用提出了一些建议。

APPLICATION STUDY OF MOVING LEAST SQUARE METHOD TO SIMULATION OF IN-SITU STRESSES WITH LARGE DEPTH

The application of moving least square method to simulation of in-situ stresses with large depth is presented in this paper. Based on the analysis of the principle and model of calculation for the moving least square method,the measured pore pressure data are used to fit the known data. The number of selected known data and the two adjustment coefficients in the model have influences on simulation result. The impact extents of every factors are analyzed. The main factor is the number of selected known data,the second factor is the two adjustment coefficients,and the third factor is the values of data. In addition,the fitting effect of boundary and numerical stability of the moving least square method are discussed. The results show that the moving least square method has better simulation result with satisfactory stability. In order to improve the fitting precision of calculation model,some suggestions are put forward with a practical example.