利用DEM数据计算地形质量重力梯度的新方法

A New Method to Calculate Gravity Gradient of Terrain Mass Using DEM

重力梯度由低频、中频和高频信息构成,其高频信息主要受地形质量的影响,为了更好地利用地形数据获取重力梯度高频信息,提出一种全新的方法——高斯-勒让德积分法,根据模型算例和实测DEM数据验证了该方法的有效性。结果表明,高斯-勒让德积分法作为一种全新的解算方法,与传统的棱柱法和直接积分法相比,在一定的精度条件下解算效率更高,在重力梯度测量相对落后和重力资料欠缺的情况下,利用该方法由DEM数据来解算重力梯度的高频部分是可行的,相较于传统解算方法而言,其具有一定的优势。

Gravity gradient information made up of low frequency, intermediate frequency and high frequency information, and the high frequency information is mainly affected by topography mass. In order to better use terrain data to get the high frequency information of gravity gradient,we put forward a new method-Gauss - Legendre integral method.According to the model calculation and the DEM data, we prove the correctness and effectiveness of the method. Results show that the accuracy of calculating efficiency of the new method, compared with the traditional prism method and the direct integral method, is higher under certain conditions. And under the backward condition of lack of gravity data,using DEM data to calculate the high frequency part of gravity gradient is feasible. Compared with the traditional calculating method, the method has a certain advantage.