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