Abstract
Abstract. Measurement error arising from vibration interference is recognized as the primary obstacle limiting the accuracy and stability of laser interference absolute gravimeters. The present work addresses this issue by proposing a global search optimization algorithm that determines the optimal absolute value of gravity based on the measured time–displacement coordinates of a falling body and the signal obtained from the passive vibration isolation system of the inertial reference corner cube in a laser interference absolute gravimeter. Results of numerical calculations conducted under vibration interference conditions with added white noise resulting in a signal-to-noise ratio of 40 dB demonstrate the following. The accuracy and standard deviation of the gravimeter obtained using the proposed algorithm are −0.04 µGal (1µGal=1×10-8 m s−2) and 0.24 µGal, respectively, while those values obtained by the standard least-squares solution are 10.19 and 154.11 µGal, respectively. The test results indicate that the average response of the reference value of acceleration due to gravity superimposed by a disturbance of 1.00 µGal is 1.01 µGal using the proposed algorithm and 0.87 µGal using the standard least-squares solution.
Highlights
Laser interference absolute gravimeters are high-precision gravimetry instruments that are widely used in various fields such as metrology (Ouedraogo et al, 2007), solid geophysics (D’Agostino et al, 2008), seismic observation (Timofeev et al, 2018; Zhang, et al, 2019), and geodesy (Xing et al, 2017)
Vibrations caused by the servomotor-driven mechanism in laser interference gravimeters and environmental vibrations are coupled during the measurement process and introduce vibration error into the measurement result by affecting the inertial state of the reference corner cube (Wu et al, 2012)
The results demonstrate that the proposed algorithm provides a substantial anti-vibration capability and is worthy of application within absolute gravimeter designs based on laser interferometry
Summary
Laser interference absolute gravimeters are high-precision gravimetry instruments that are widely used in various fields such as metrology (Ouedraogo et al, 2007), solid geophysics (D’Agostino et al, 2008), seismic observation (Timofeev et al, 2018; Zhang, et al, 2019), and geodesy (Xing et al, 2017). Current practical applications of the PVIS remain far from meeting the requirements of instrument stability, accuracy, and precision under different observation conditions This issue is addressed in the present work by applying the PVIS in conjunction with a developed vibration error compensation algorithm. To this end, we first analyze the PVIS of the reference corner cube to obtain the transfer function of the system as a vibration isolation device and a signal detection device and thereby establish a vibration interference error model. The results demonstrate that the proposed algorithm provides a substantial anti-vibration capability and is worthy of application within absolute gravimeter designs based on laser interferometry
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