潜艇重力梯度极值和深度的关系研究

The Relationship between Extreme Values of Gravity Gradients and Depth of Submarine

研究潜艇重力梯度各分量的极值点坐标与潜艇到观测点垂直距离的关系。数值分析发现,除Vzz外,梯度张量其余分量均有多个极值点;Vxx和Vxz所有极值点的Y坐标、Vyy和Vzz中心极值点的Y坐标不随高度的变化而变化;Vyy、Vyz和Vzz所有极值点的X坐标、Vxx中心极值点的X坐标随高度的变化为非线性关系且变化较小;Vxx两侧极值点的X坐标、Vxz极值点的X坐标、Vxy极值点的X和Y坐标、Vyy两侧极值点的Y坐标和Vyz极值点的Y坐标随高度的变化为线性关系。根据极值点与潜艇的深度关系,验证了利用极值点坐标反演潜艇深度的可行性。

This paper investigates the relationship between the extreme point coordinates of gravity gradients created by submarine and the vertical distance from the submarine to the observation point.Through statistical analysis,we find that,except for Vzz,the other gravity gradient components have multiple extreme points.Numerical results also show that the Y-coordinates of the extreme points of Vxx and Vxz,the central extreme points of Vyy and Vzz do not change with the changes of observation height.The X-coordinate of the central extreme point of Vxx and the extreme points of Vyy,Vyz and Vzz are all non-linear with observation height,but the correlations between X-coordinates of these values and the observation height are not strong.The X-coordinate of extreme points on both sides of Vxx,X-coordinate of extreme points of Vxz,coordinates of extreme points of Vxy,Y-coordinates of extreme points on both sides of Vyy and Y-coordinate of extreme points of Vyz are linear with the observation heights.Finally,based on the relationship between the extreme points and the depth of the submarine,the feasibility of using the extreme point coordinates to inverse the depth of the submarine is verified.