基于位场异常二阶导数的比值改进欧拉反演方法
Improved Euler inversion method based on ratio of second derivatives of potential field anomaly
邰振华 1柴琳 2王远浩2
作者信息
- 1. 黑龙江科技大学 矿业工程学院,哈尔滨 150022;黑龙江省昂昂溪实物地质资料野外科学观测研究站,黑龙江 齐齐哈尔 161031
- 2. 黑龙江科技大学 矿业工程学院,哈尔滨 150022
- 折叠
摘要
针对常规欧拉反演的收敛性差、精度低,计算误差会因构造指数与背景场选择不当而增大的问题,通过定义二阶导数总梯度的概念,提出了基于垂向二阶导数与二阶总梯度比值的边界检测滤波器(RVST),以新滤波器与常规欧拉方程为基础,推导了不含构造指数与背景场的新欧拉方程(RVST-Euler).结果表明:新欧拉方程提高了解的收敛度与精度,模型实验和实例应用证明了RVST具有紧缩、校准边界异常的能力;RVST-Euler对场源平面位置、深度及空间形态的反演效果优于常规欧拉反演.
Abstract
This paper is an attempt to address the problems of poor convergence,low accuracy,and increasing calculation errors due to the improper selection of the structural index and background field in the conventional Euler inversion.The study defines the concept of the total gradient of the second-order derivative,and proposes an edge detection filter based on ratio of vertical second derivative to second to-tal gradient(RVST),and derives a new Euler equation(RVST-Euler)without structure index and back-ground field on the basis of the new filter and the conventional Euler equation.The results show that the new Euler equation improves convergence and accuracy of the solution,and the model tests and practical applications prove the abilities of RVST to tighten and correct tanomalies of source edges.The effect of RVST-Euler inversion on the horizontal locations,depths,and spatial shapes surpass conventional Euler inversion.
关键词
位场/边界检测/欧拉反演/虎林盆地Key words
potential field/edge detection/Euler inversion/Hulin basin引用本文复制引用
出版年
2024
国家科技期刊平台
NSTL
万方数据