基于旋转椭球体的等轴状场源体重力异常场模型构建方法  

Modeling of isometric field-source in gravity anomaly field based on rotational ellipsoid

作　　者：刘繁明[1] 刘惠敏[1,2] 荆心[1] 

机构地区：[1]哈尔滨工程大学自动化学院,哈尔滨150001 [2]青岛农业大学机电工程学院,青岛266109

出　　处：《中国惯性技术学报》2016年第1期26-29,35,共5页Journal of Chinese Inertial Technology

基　　金：国家自然科学基金(60834005)

摘　　要：在中心埋藏浅、测量精度高的场合,采用球体作为有限大小、近于等轴状的场源体的模型进行重力异常正演会造成较大误差。提出一种基于旋转椭球体的等轴状场源体重力异常模型。通过改变长、短轴长度以匹配场源体形态,降低正演误差。在已有绕短轴旋转型旋转椭球体的引力位的基础上,推导旋转椭球体完整的重力异常基本表达式。将结果与球体重力异常比较,分析其间的特征差异,验证了结果的正确性。The forward calculation of gravity anomalies would introduce larger errors when field-sources with finite sizes and isometric shapes are simplified as spheres. To solve this problem, a gravity anomaly model with isometric field-source body is proposed based on a rotating ellipsoid, which suggests that the spheres can be replaced by two kinds of rotational ellipsoids. The changing major and/or minor axis of the rotational ellipsoids disperse the mass＇ s compact distribution of the sphere, resulting in various different structures to match with the actual field-sources and reduce the errors produced in forward calculation. The complete calculation expressions about gravity anomaly are deduced and presented based on partial known formulas. Comparisons among the three spheroids are made to find their characteristic differences and to verify that the proposed method is correct and necessary.

关 键 词：旋转椭球体 重力异常场 正演模型 球体 等轴状场源 

分 类 号：P24[天文地球—测绘科学与技术]