Analysis of Effect of Acceleration Sensor on Vibration Compensation of Gravimeter
MA De-kai1,LI Chun-jian2,3,FENG Jin-yang2,3,FAN feng1,YAO Jia-min2,3,WANG Qi-yu2,3,HU Ruo2,3
1. College of Mathematical Sciences and Engineering, Hebei University of Engineering, Handan, Hebei 056038, China
2. National Institute of Metrology, Beijing 100029, China
3. Key Laboratory of Time and Frequency and Gravity Acceleration of State Administration for Market Regulation, Beijing 100029, China
Abstract：In order to analyze the compensation effect of accelerometer on gravimeter, based on the NIM-3C absolute gravimeter, a platform gravimetric experiment platform was built, the laser vibrometer output signal was used as the standard signal, and the vibration collection performance of three different types of acceleration sensors, MSA1000A-02, 991B, and INV9832-50, in the platform based gravity measurement environment was calibrated through experiments. The experimental results show, in order to ensure that the gravity measurement uncertainty under this condition is smaller than several milligal, the measurement error of the acceleration sensor should be limited to within several hundred μGal. The extreme difference between the quadratic term fit coefficient of the vibration (standard signal) measured by the MSA1000A-02 sensor and the laser vibrometer is 2.94 μGal (1 μGal=1×10-8m/s2) under the platform gravity measurement condition, which meets the uncertainty and bandwidth requirements of this condition.
Zhu Y Q, Liang W F, Li H, et al. On Gravity Field Variations and Geodynamic Characteristics in Mainland of China［J］. Geomatics and Information Science of Wuhan University, 2007,32(3): 246-250.
Wang Q Y, Feng J Y, Li C J, et al. Fast alignment of beam verticality for absolute gravimeters ［J］. Optics and Precision Engineering,2019, 27(1): 1-7.
Yao J M, Zhuang W, Feng J Y, et al. Effect of vibration noise with fixed phase on absolute gravimetry applying vibration isolator ［J］. Acta Physica Sinica, 2021, 70(21): 407-419.
Wu B, Zhou Y, Cheng B, et al. Static measurement of absolute gravity in truck base on atomic gravimeter［J］. Acta Physica Sinica, 2020, 69(6):25-32.
Li C J, Wu S Q, Su D W, et al. Improvement method for type A uncertainty of interferometric gravimeter［J］. Optics and Precision Engineering, 2021, 29(7):1527-1538.
［12］
Qian J, Wang G, Wu K, et al. A vibration correction method for free-fall absolute gravimeters［J］. Measurement Science and Technology, 2018, 29(2):025005-1-025005-9.
Brown J M, Niebauer T M, Klingele E. Towards a Dynamic Absolute Gravity System［C］// International Association of Geodesy Symposia; Gravity, Geoid and Geodynamics 2000, 2002.
Wen Y, Wu K, Wang L J. Analysis of vibration correction performance of vibration sensor for absolute gravity measurement［J］. Acta Physica Sinica, 2022, 71(4): 374-384.
［19］
Wang G, Hu H, Wu K, et al. Correction of vibration for classical free-fall gravimeters with correlation-analysis［J］. Measurement Science & Technology, 2016, 28(3):035001.
［20］
王济.MATLAB 在振动信号处理中的应用［M］. 北京:知识产权出版社, 2006.
Hu Y M, Zhou Y J, Zhu H, et al.Integration algorithm based on trend-control of error in frequency domain［J］. Journal of Vibration and Shock, 2015, 34(2): 171-175.
Wang J F, Ma F, Ma R G, et al.Study on Calculation of Dynamic Displacement from Time-frequency Integration of Acceleration［J］. Computer Science, 2010, 37(12): 201-202.
Li C J, Su D W, Wu S Q, et al. The diffraction correction for interferometric absolute gravimeters ［J］. Acta Metrologica Sinica, 2017, 38(4):420-423.
Xu J Y, Su D W, Wang Q Y, et al. Design of host system for miniature absolute gravimeter［J］. Acta Metrologica Sinica, 2022, 43(4):489-493.
［17］
Gillot P, Francis O, Landragin A, et al. Stability comparison of two absolute gravimeters: optical versus atomic interferometers［J］. Metrologia, 2014, 51(5): L15-L17.
Xu Q H. Conversion between Vibrational Acceleration,Velocity and Displacement Using FFT［J］. Journal of Vibration, Measurement & Diagnosis, 1997, 17(4): 30-34.
Bidel Y, Zahzam N, Bresson A, et al. Absolute airborne gravimetry with a cold atom sensor［J］. Journal of Geodesy, 2020, 94(2). https://doi.org/10.1007/s00190-020-01350-2.
Malossi N, Bodart Q, Merlet S, et al. Double diffraction in an atomic gravimeter［J］. Physical Review A, 2009, 81(1): 013617.
［3］
Hu H, Svitlov S, Rothleitner C, et al. Improvements of the MPG-2 transportable ab solute ballistic gravimeter［J］. Metrologia, 2010, 47:575-582.
Feng J Y, Wu Sh Q, Li Ch J, et al. Free-fall absolute gravity measurement based on double interferometers［J］. Optics and Precision Engineering, 2015, 23(10): 2740-2746.
Wang D, Feng J Y, Yao J M, et al. Study on the Influence of Free Vibration Effect on Platform Absolute Gravimeter［J］. Journal of Astronautic Metrology and Measurement. 2022, 42(1):74-79.
［14］
Gout J L, Mehlstubler T E, Kim J, et al. Limits to the sensitivity of a low noise compact atomic gravimeter［J］. Applied Physics B, 2008, 92:133-144.
Wu W, Wu G H, Tu Z J. Design of Un-touching Length-Measuring system based on DSP ［J］. Mincrocomputer Information, 2008, 24(29):154-155.
2023, Vol. 44 
