全张量重力梯度正演计算及其可视化系统构建  

Construction of a System for Full Tensor Gravity Gradient Forward Modeling and Visualization

作　　者：边少锋[1] 李兆权 翟国君 陈永冰[1] BIAN Shaofeng;LI Zhaoquan;ZHAI Guojun;CHEN Yongbing(School of Electrical Engineering,Naval University of Engineering,Wuhan 430033,China;School of Geography and Information Engineering,China University of Geosciences(Wuhan),Wuhan 430074,China;Key Laboratory of Geological Survey and Evaluation of Ministry Education,China University of Geosciences(Wuhan),Wuhan 430074,China)

机构地区：[1]海军工程大学电气工程学院,湖北武汉430033 [2]中国地质大学(武汉)地理与信息工程学院,湖北武汉430074 [3]中国地质大学(武汉)地质探测与评估教育部重点实验室,湖北武汉430074

出　　处：《武汉大学学报（信息科学版）》2024年第11期1992-2002,共11页Geomatics and Information Science of Wuhan University

基　　金：国家自然科学基金(42430101,42374050,42342024)。

摘　　要：全张量重力梯度测量技术是一种高精度地球物理探测方法,在密度异常精准识别与深入解析方面具有独特优势,在重力梯度探测资料解释工作体系中,梯度正演计算至关重要。然而,此前相关研究虽涉及重力梯度正演计算可视化展示,但存在计算灵活性不足、可视化手段单一等问题。为解决此问题,借助Mathematica代数系统,完成了对矩形棱体正演公式的推导与梯度张量的正演计算,以及多个棱柱体单元组成的复杂质体梯度张量正演计算。同时,利用Mathematica构建了多种典型地质模型的重力梯度计算可视化系统。该系统参数设置灵活,能模拟不同物性参数下密度体重力梯度响应结果,并提供实时动态可视化展示,可视化结果可进行三维、二维等多方式显示,三维曲面可任意调整观测视角,二维曲线可任意选择测线位置进行显示,该可变参数的正演可视化系统将使正演计算更高效、易灵活应用。Objectives:To address the inflexibility and inadequacies of existing visualization tools for full-tensor gravity gradient(FTG)forward modeling,and to achieve accurate identification,classification,and interpretation of gravity gradients,a method for forward modeling FTG and constructing a visualization sys⁃tem based on Mathematica is proposed.Methods:First,the Mathematica algebraic system is utilized to de⁃rive the forward formula of the gradient for rectangular prisms and complete the forward calculation of the gradient tensor.Second,the forward calculation of the gradient tensor is carried out for a complex density body composed of multiple prism units.Finally,with the rich visual output and display capabilities of Mathe⁃matica,a visualization system is established for the gravity gradient calculation of typical geological models such as prisms,spheres,and inclined steps.Results:The constructed visualization system can simulate the gravity gradient response results of density bodies under different physical property parameters and provide real-time dynamic visualization display,effectively presenting the characteristics and distribution laws of the gravity gradient of the field source.Conclusions:The full tensor gravity gradient visualization system constructed based on Mathematica will provide a new means of interpretation for gravity gradient exploration data interpretation,and provide a basic platform for research workers to engage in research,scientific and technological thesis writing,and subject reporting.

关 键 词：全张量重力梯度 正演计算 可视化 计算机代数 

分 类 号：P223[天文地球—大地测量学与测量工程]