线性规划法解磁异常反问题

TO SOLVE THE INVERSE MAGNETIC ANOMALY PROBLEM BY LINEAR PROGRAMMING METHOD

本文在前人工作的基础上,对线性规划法用于磁异常的反演作进一步探讨。提出了运用线性规划法解磁异常反问题的求解步骤:先确定引起异常的地下磁性体质心界限和边界分布范围,然后在此范围内,求磁性物质磁化强度的分布。这样可以使寻求实际磁性体的空间范围缩小,较细致地了解物质在一定范围内的磁性分布。文中对二度及三度异常都做了反演计算,并应用于矿区实例。讨论了方法求解的稳定性,发现利用特定意义下目标函数的极值做为反演信息解释是较稳定的,它并不因原始数据的微小误差而产生较大的变化。

This paper gives a better discusion about the application of linear programming method to slvoe the inverse magnetic anomaly problem. With a simple method, we can estimate the bounds of the total magnetic moment and the center of mass (upper and lower bounds) of the underground magnetic body, as well as the intensity of magnetization distributed withen the bounded area. The method was tested both with theory model and with real anomalies. The results show that the application of the method is satisfactory. The method also reveals the steadiness of the analytical results by usins extremals of objective functions in computation. The small errors in tthe original data have no relation to the accuracy of computation.