The Calculation of High-Order Vertical Derivative in Gravity Field by Tikhonov Regularization Iterative Method

In mathematics, statistics, and computer science, particularly in the fields of machine learning inverse problems, regularization is a process introducing additional information order to solve an ill-posed problem or prevent overfitting. The Tikhonov method widely used complex problems engineering. vertical derivative gravity can highlight local anomalies separate horizontal superimposed abnormal bodies. higher is, stronger resolution is. However, it generally considered that conversion high-order unstable. this paper, based on for solving derivatives field combining with iterative successive approximation, calculating proposed. recurrence formula obtained. Through analysis filtering characteristics method, calculated by stable. Model tests practical data processing also show important theoretical significance value.