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《Acta Geodaetica Et Cartographic Sinica》 1990-03
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COMBINED DETERMINATION OF THE TIMEVARIATIONS OF EXTERNAL GRAVITY FIELDAND THE INTERIOR DENSITY OF THE EARTH

Xia Zheren. Jiang Fuzhen(Institute of Geodesy and Geophysics, Chinese Academy of Sciences)  
: On the basis of single layer potential theory, the time variation of external gravity potential can be expressed as generalized single layer potential, with density on Bj-erhammar's spherical surface. Here is fictitious density disturbance, it's physical meaning is the compression of the time variation of interior mass density of the earth (being taken as the field surface of earth's gravity field) on the layer surface. Since space-time feature of a field revals it's fine structure, describes in essence the time variation feature of the distribution of the interior density in different direction. In or der to realize the above mentioned thought, with the help of Bjerhammar's transformat ion technique, is formed as the linear combination of and q*, which stand for separately time-like gravity potential disturbance and the analytic continuation of repeat ed observations (time-like gravity anomaly and time-like potential anomaly) onto the fi ctitious single layer. In the final solving frame i. e. Eq. (33), the time variation of external gravity potential is combined with the time variation of the interior density of the earth together. This solution is simple in construction, weak in singularity, and con venient for practical application.
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