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针对位场向下延拓的不适定问题,在分析最优化算法中高斯-牛顿法基本原理及滤波函数滤波特性的基础之上,提出基于正则参数指数递增计算方法和残差最小步长准则的改进高斯-牛顿法。基于理论重力模型和航磁实测数据的对比试验表明,改进后得到的自适应迭代法具有相对较高的位场向下延拓精度和很好的收敛性。
Based on the analysis of the basic principles of Gauss-Newton method and the filtering characteristics of the filtering function, aiming at the ill-posed problem of the continuation of the potential field, a method based on the regular parameter exponential increment method and the minimum residual step criterion Improve Gauss - Newton method. The comparison test based on theoretical gravity model and aeromagnetic data shows that the improved adaptive iteration method has a relatively high extension accuracy and good convergence.