【摘要】 LSQR法具有计算效率高、对计算机内存要求低的优点,适合于大规模问题的求解。为探讨其应用于位场反演的稳定性和可靠性,笔者以加入不同噪声的两个合成模型数据为实验对象,比较分析了Tikhonov正则化与LSQR法求解结果,显示直接利用LSQR法求解位场反问题能够得到满意的正则化解,其解模型相对Tikhonov正则化,最大相对误差仅为0.36%,说明直接利用LSQR法求解位场反问题是可行的。将其应用于四川盆地雅安地区重力三维反演,极大地降低计算成本,获取了区内沉积盆及主要断裂分布情况,为页岩气靶区优选提供了有力支撑。更多还原

【Abstract】 The LSQR method has the advantages of high computing efficiency and low memory requirement,and is thus suitable for solving large-scale ill-posed problems. In order to discuss its application in the stability and reliability of potential field inversion,the authors,on the basis of two synthetic models data with different noises as the object of the experiment,studied Tikhonov regularization and LSQR method,and the results show that the LSQR method can satisfy the requirement for solving potential field inversion with the regularization solution. In comparison with Tikhonov regularization,the maximum relative error of the LSQR method is only 0.36%,indicating that the use of LSQR method to solve potential field inverse problems is feasible. It was applied to 3 D inversion of gravity in Ya’an area of Sichuan basin,which greatly reduced computation cost and obtained the distribution of sedimentary basins and main faults in the area,thus providing strong support for shale gas target area optimization.更多还原