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全张量重力梯度正演计算及其可视化系统构建

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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.
Construction of a System for Full Tensor Gravity Gradient Forward Modeling and Visualization
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 explora-tion data interpretation,and provide a basic platform for research workers to engage in research,scientific and technological thesis writing,and subject reporting.

full tensor gravity gradientforward modelingvisualizationcomputer algebra

边少锋、李兆权、翟国君、陈永冰

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海军工程大学电气工程学院,湖北 武汉,430033

中国地质大学(武汉)地理与信息工程学院,湖北 武汉,430074

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

全张量重力梯度 正演计算 可视化 计算机代数

2024

武汉大学学报(信息科学版)
武汉大学

武汉大学学报(信息科学版)

CSTPCD北大核心
影响因子:1.072
ISSN:1671-8860
年,卷(期):2024.49(11)