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中文摘要：
针对传统的均衡重力异常方式基于平面近似,积分范围较小、计算公式的适用性受限、表征的信息量有限的问题,该文在球坐标下分析艾黎-海斯卡宁（Airy-Hesikanen）均衡模型。以计算点向径为半径,将地形分为布格球壳和粗糙地形两部分,计算其地形影响和均衡改正。在实验区,选用补偿深度21km、密度差0.678g/cm3的模型参数,采用该文公式和传统公式计算均衡重力异常,并比较分析其计算值。结果表明,以球近似Airy-Hesikanen均衡模型计算均衡重力异常值,在小积分范围以及平坦地区,与传统公式计算值的精度相当;但随着积分半径增加,球近似Airy-Hesikanen均衡模型计算值精度不断提高、变化更平缓,说明球近似AiryHesikanen均衡模型代替平面近似Airy-Hesikanen均衡模型应用于重力问题研究更为符合地球实际情况。
英文摘要：
The Airy-Hesikanen model was studied in terms of spherical coordinate in this paper. In the spherical approximation,the isostatic gravity anomalies were calculated by dividing the actual topography into the Bouguer shell and the rough terrain according radius of the compute point. In the test area, compar- isons with the tradition method were analyzed with the compensation depth of 21km, the density contrast of 0. 678 g/cm3 , and the 30＂×30＂SRTM terrain data. Overall,the accuracy of the isostatic gravity anomalies calculated with the proposed method was better than the traditional one in the big integral region, and consistent in the small and plat regions. Bigger integral region was used, better precision and smaller variation were gained. So Airy- Hesikanen model in the planar approximation replaced by the spherical approximation was fitter for the actual shape of the earth when it was applied in the gravity study.
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