中文摘要：

研究基于Airy—Heiskanen均衡理论构建重力控制点稀少区域平均空间重力异常参考场的方法。利用区域高分辨率地形数据构建平均空间重力异常数值模型；针对均衡理论构建重力异常存在系统性误差的问题，研究了布设少量重力观测点作为约束，对所构建的平均空间重力异常数值模型的系统性误差进行修正，并与基于EGM2008重力场模型以及基于少量离散点直接内插推估构建区域平均空间重力异常的方法进行对比。结果表明，该方法得到的计算值精度明显优于后两者，同时能大大减少重力测量的工作量，且适宜于困难地区平均空间重力异常的填补。

英文摘要：

The method of establishing the mean freeair gravity anomaly reference field with rare gravity data has been studied based on the Airy and Heiskanen isostatic theory. The numerical model of the mean freeair gravi ty anomalies has been established using the regional highresolution topographic data; then for the problem that the systematic errors existed in the computational area, a few of gravimetric points have been chosen as constraint points in order to eliminate errors. Finally, the comparisons have been made among the gravity field model of EGM2008 and interpolation using separate points. As a result, the method could get better precision than two other methods as well as could reduce workloads in gravity measurement in the fields, the method is suitable for establishing the mean freeair gravity anomalies in difficult conditions.