局部区域模型重力异常快速算法  

Fast Method for Model Gravity Anomalies Calculation in Local Areas

作　　者：邢志斌[1] 李姗姗[1] 曲政豪 王伟[1] 范昊鹏 贾鲁[1] XING Zhibin LI Shanshan QU Zhenghao WANG Wei FAN Haopeng JIA Lu(Information Engineering University, Zhengzhou 450001, China)

机构地区：[1]信息工程大学,河南郑州450001

出　　处：《测绘科学技术学报》2016年第6期566-571,共6页Journal of Geomatics Science and Technology

基　　金：国家自然科学基金项目(41274029);国家863计划项目(2013AA122502);信息工程大学地理空间信息学院硕士创优基金项目(XS201513)

摘　　要：地球重力场位系数模型可以用于计算局部重力扰动场元。然而随着地球重力场模型阶次的提高、局域重力场计算范围的增大,其计算速度往往不能满足工程需求。针对这一问题,在对位系数模型泰勒级数展开的基础上提出了采用向量运算、混合编程的方法,同时对连带勒让德函数Belikov递推方法中与经纬度无关的量进行了预先计算,有效提高了计算速度。提出的方法对于利用超高阶次重力场模型快速解算大范围、高分辨率重力场元数据以及累加求和计算具有一定的参考与借鉴意义。The earth gravity model can be used to calculate local gravity disturbance elements. While, with the in- crease orders of earth gravity model and scopes of calculation areas, the time-consuming of calculate model gravity anomalies increases rapidly. So it can＇ t meet the need of engineering requirement. Concerning about this, through spreading Taylor formula, a method is presented in which vector arithmetic and hybrid programming are used and some quantities which have nothing to do with latitude and longitude in associated Legendre function are calculated in advance, which improves the speed of calculation efficiently. Therefore, the method presented in this paper is of great reference value in calculating large area, high resolution model gravity elements and cumulative sum.

关 键 词：重力场模型 局部重力异常 泰勒展开 向量运算 混合编程 

分 类 号：P223[天文地球—大地测量学与测量工程]