基于最小二乘配置和MATLAB的重力异常研究  

Gravity Anomalies Based on Least Square Collocation and MATLAB

作　　者：莫辉华 刘建栋[2] 余斌彬 李小军 

机构地区：[1]中山市南朗测绘工程有限公司,中山市南苑大道528451 [2]武汉大学测绘学院,武汉市珞喻路129号430079 [3]中国地震局地震研究所,武汉市洪山侧路40号430071 [4]中山市中鑫测绘工程有限公司,中山市复富路24号528451

出　　处：《测绘地理信息》2015年第1期25-28,共4页Journal of Geomatics

基　　金：国家自然科学基金资助项目(41374012);国家863计划资助项目(2008AA12Z308)

摘　　要：首先推导了最小二乘配置的数学公式,并对具有已测重力异常和平面坐标的区域进行了格网化处理;然后,利用最小二乘配置算法计算了各格网点的重力异常数值;接着,利用MATLAB语言编程,并对格网内部的重力异常进行了内插,绘制了重力异常的等值线平面图和3D图。最后,比较了加入新已知重力点和去除该点时两幅等值线图的异同,并对产生不同结果的原因进行了讨论。Firstly,the mathematical formulas of least squares collocation are derived in detail in this paper. And the area with measured gravity anomalies and the known plane coordinates are gridded by MATLAB. Secondly,the algorithm of least Ssquares configuration is utilized to calculate the value of gravity anomaly of each grid node. Thirdly,by programming with the MATLAB language,the gravity anomalies within the grid are not only interpolated,but also the ichnography and 3D contour map are drawn. Finally,the similarities and differences of the contour maps are compared between adding a new point of known gravity and removing it,the cause of which is discussed.

关 键 词：重力异常 最小二乘配置 MATLAB 等值线图 效果分析 

分 类 号：P223.7[天文地球—大地测量学与测量工程]