利用正则化一阶和二阶导数的计算机辅助区域-残差重力异常分离技术

GEOPHYSICS Pub Date : 2024-05-21 DOI:10.1190/geo2023-0546.1
Carlos Alberto Mendonça
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引用次数: 0

摘要

在快速数字计算机出现之前,地壳和矿产勘探中的重力异常区域-遗迹分离是一种基于图形的程序,需要更高效的算法来处理大型数据集。然而,由于需要经验丰富的解释人员的监督,曾经通过图形程序获得的结果在产生具有地质意义的异常方面往往被认为是首屈一指的。基于频谱滤波和稳健多项式拟合的数值方法在许多情况下都能奏效,但似乎无法完全有效地在算法中复制解释器辅助图形方法所获得的结果。我们开发了一种由一组简短的 MATLAB 脚本实现的程序(CARRS--计算辅助区域残差分离),它在许多方面模拟了以前图形方法的操作,但只需解释器做出少量决定和少量手工操作。CARRS 对水平梯度和垂直二阶导数较低的点进行稳健的多项式拟合,从而选择拟合点,就像真正的解释器在使用图形方法勾勒区域场时所做的那样。正则化程序用于计算稳定的一阶和二阶导数。配套的 MATLAB 代码允许复制结果,并利用不同的阈值水平进行进一步探索,以确定平域区域。CARRS 使用可免费下载的航空重力数据 CPRM-1123 进行说明。残差场的数据窗口用于分析亚马逊克拉通地区古生代 Velho Guilherme 花岗岩的灰岩带中锡石矿床的分布,因为它们的分布出现在观测到的重力异常及其相应的残差场中。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
COMPUTER-ASSISTED REGIONAL-RESIDUAL GRAVITY ANOMALY SEPARATION WITH REGULARIZED FIRST AND SECOND-ORDER DERIVATIVES
The regional-residual separation of gravity anomalies in crustal and mineral exploration was a graphical-based procedure before the advent of fast digital computers and the need for more efficient algorithms to process large data sets. However, since requiring the supervision of an experienced interpreter, the results once obtained with graphical procedures are often accepted as second to none in producing anomalies with geological significance. Numerical methods based on spectral filtering and robust polynomial fitting have worked in many scenarios but seem not fully effective in replicating in algorithms the kind of results once obtained with interpreter-assisted graphical methods. We develop a procedure (CARRS- Computed Assisted Regional Residual Separation) implemented by a set of short MATLAB scripts which in many aspects simulates the operations of former graphical methods but requires few decisions and minor hand-work from the interpreter. CARRS applies robust polynomial fitting to points with low horizontal gradient and vertical second-order derivative, thus selecting fitting points as a real interpreter would do with graphical approaches in outlining the regional field. A regularized procedure is used to calculate stable first and second-order derivatives. MATLAB codes in companion allow results replication and further exploration with different threshold levels to identify flat domain regions. CARRS is illustrated with airborne gravity data CPRM-1123 freely available to download. A data window of the residual field is used to analyze the distribution of cassiterite deposits in greisen zones of the Paleoproterozoic Velho Guilherme granites in the Amazon Craton, as their distribution appears in the observed gravity anomaly and its corresponding residual field.
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