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Variability of the Gravity-to-Height Ratio Due to Surface Loads

机译：表面载荷引起的重力高度比的变化

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We study the ratio between the gravity variation and vertical displacement on the surface of a self-gravitating earth model when a surface load is applied. We adopt a theoretical and numerical point of view, excluding any observations. First, we investigate the spectral behavior of the ratio of the harmonic components of the gravity variation and vertical displacement. Then, we model the gravity-to-height ratio for different surface loads (continental hydrology, atmospheric pressure, ocean tides) using outputs of global numerical models in order to relate the predicted spatial values to theoretical mean values deduced from the spectral domain. For locations inside loaded areas, the ratio is highly variable because of the Newtonian attraction of the local masses and depends on the size of the load. For the hydrological loading (soil moisture and snow), the mean ratio over the continents is -0.87 mu Gal mm(-1), but increases with decreasing size of the river basins. For the atmospheric loading, assuming an inverted-barometer response of the ocean, the ratio is positive, with larger values for high latitudes (0.49 mu Gal mm(-1))-particularly on the coasts-than for lower latitudes (0.30 mu Gal mm(-1)). The ratio, however, is much less variable outside the loaded areas: in desert areas such as the Sahara and Arabia, its mean value is -0.28 mu Gal mm(-1). For the ocean tidal loading, we find a mean ratio of -0.26 mu Gal mm(-1) over the continents for the diurnal tidal waves. Both results are close to the theoretical mean value of -0.26 mu Gal mm(-1) combining elastic and remote attraction contributions.
机译：我们研究了施加表面载荷时自重地球模型表面重力变化与垂直位移之间的比率。我们采用理论和数字观点，不包括任何观察结果。首先，我们研究重力变化和垂直位移的谐波分量之比的频谱特性。然后，我们使用全局数值模型的输出对不同表面负荷（大陆水文学，大气压力，海潮）的重力高度比进行建模，以便将预测的空间值与从光谱域推导出的理论平均值相关联。对于负载区域内的位置，由于局部质量的牛顿吸引力，该比率变化很大，并且取决于负载的大小。对于水文负荷（土壤水分和积雪），各大洲的平均比率为-0.87亩Gal mm（-1），但随着流域规模的减小而增加。对于大气负荷，假设海洋的反向晴雨表响应，则该比率为正，对于高纬度（0.49μGal Gal·mm（-1））-特别是在沿海地区，该值较大-而对于低纬度（0.30 mu Gal（-1））毫米（-1））。但是，该比率在负载区域之外变化不大：在诸如撒哈拉和阿拉伯之类的沙漠地区，其平均值为-0.28亩Gal mm（-1）。对于海洋潮汐负荷，我们发现各大洲的日潮汐平均比率为-0.26μGal Gal（-1）。两项结果都接近于-0.26μGal Gal（-1）的理论平均值，结合了弹性和远距离吸引力。

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