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DZW重力仪非线性零漂的贝叶斯估计方法
引用本文:陈善勇,杨江.DZW重力仪非线性零漂的贝叶斯估计方法[J].大地测量与地球动力学,2022,42(6):637-642.
作者姓名:陈善勇  杨江
作者单位:中国地震局地震研究所,武汉市洪山侧路40 号,430071,中国地震局地震研究所,武汉市洪山侧路40 号,430071;武汉地震科学仪器研究院有限公司,武汉市洪山侧路40 号,430071;湖北省重大工程地震监测与预警处置工程技术研究中心,湖北省咸宁市青龙路 11 号,437000
基金项目:湖北省科技创新重大项目
摘    要:提出一种利用重力观测数据得到DZW重力仪非线性零漂的新方法。该方法核心算法为贝叶斯公式,原理为以零漂的连续性作为先验约束条件,考虑重力观测数据浮动产生的偏差,将每个采样点零漂的均值和方差作为超参数进行求解。该算法可以重复运算,随着计算次数的增加,超参数会趋向于收敛极限,从而得到最优解。经过数据验证,该算法可以精准得到非线性零漂曲线。零漂校正后重力观测值的方差为1.595 53×10-10 μGal2,可为DZW重力仪的测量精度提供保证。

关 键 词:DZW重力仪  零漂  线性拟合  贝叶斯公式  非线性  

Bayesian Estimation for Nonlinear Zero Drift of DZW Gravimeter
CHEN Shanyong,YANG Jiang.Bayesian Estimation for Nonlinear Zero Drift of DZW Gravimeter[J].Journal of Geodesy and Geodynamics,2022,42(6):637-642.
Authors:CHEN Shanyong  YANG Jiang
Abstract:We present a new method to obtain the nonlinear zero drift of DZW gravimeter by using gravity observation data. The main algorithm of this method is a Bayesian formula. The principle is to take the continuity of zero drift as an a priori constraint, consider the deviation caused by the floating of gravity observation data, and solve the mean and variance of drift at each sampling point as hyper-parameters. The algorithm in this paper can be used repeatedly. With the increase of evaluation time, the hyper-parameters will tend to the convergence limit, so as to obtain the optimal solution of the algorithm. Through data verification, the accurate nonlinear zero drift curve can be obtained. During zero drift correction, the variance of gravity observation value can be obtained which is 1.595 53×10-10 μGal]2 . The algorithm in the paper ensures the measurement accuracy of DZW gravimeter.
Keywords:DZW gravimeter  zero drift  linear fitting  Bayesian formula  nonlinear  
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