摘要
本文给出应用广义变分原理确定磁性界面深度的数学模型,通过将广义变分问题转化为约束最优化问题应用罚函数法求解。由于用富氏级数逼近界面函数,所以只需要用最优化方法确定富氏级数的系数,进而计算出界面各节点处的深度。在两种模型界面上进行各种条件下的试算,对各种影响因素及其规律性进行探讨。本文并给出用于解释位场实际资科的实例。试算和实例表明;本文介绍的原理和计算方法是正确的和切实可行的。
This paper presents the mathematical model using the principle of generalized variation for determining depth of magnetic boundary and solves it using Penalty Function Method after changing generalized variation problem into constrained optimization problem. Because this paper approximates Fourier Series to boundary function, it will be only need to determine the coefficients of Fourier Series using optimization method, and further to compute the depth of division points on boundary. This paper completes the computation for two kinds of model boundary in a lot of cases and studies on in fluences of various factors and their laws. This paper provides examples in interpreting practical data for potential field. The computation and the examples have proved that the principle and computation method introduced have are correct and applicable.
出处
《物探化探计算技术》
CAS
CSCD
1991年第2期148-157,共10页
Computing Techniques For Geophysical and Geochemical Exploration
