Bayesian estimation of the scale factor of relative gravimeter in precise gravity survey

doi:10.11947/j.AGCS.2020.20200185

Abstract

Abstract: The scale factor of the relative gravimeter changes slightly with time, which is an important factor affecting the accuracy of precise gravity survey. It is necessary to regularly perform a special baseline calibration on the relative gravimeter to evaluate the change of the instrument’s scale factor. This study presents a new method that can be used to evaluate the scale factor based on the gravity observation data only. The principle is to use multiple absolute gravity datum stations known in the survey network as constraints, and to take into account the nonlinear drift of the instrument, and then to estimate scale factor as one of the hyper-parameters by Bayesian theory and Akaike’s Bayesian information criterion (ABIC). Through simulation data testing, this method can obtain the accurate estimation of scale factor in the presence of uncertainties such as Gaussian noise and instrument nonlinear drift. The test of the measured gravity data shows that: the differences between the estimated scale factors and the calibration results of baseline field before measurement are within 5×10^-5, and compared with using the inaccurate calibrated scale factors, this method can obtain the better estimation of gravity values which are less different from the results of absolute gravimetry. The results of this study provide method guarantee for effectively improving the efficiency and accuracy of precise gravity survey.

Key words: precise gravity survey, relative gravimeter, Bayesian theory, scale factor estimation

CLC Number:

P312

WANG Linhai, CHEN Shi, ZHUANG Jiancang, LU Hongyan, ZHANG Bei, YANG Jinling. Bayesian estimation of the scale factor of relative gravimeter in precise gravity survey[J]. Acta Geodaetica et Cartographica Sinica, 2020, 49(12): 1543-1553.

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