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跨断层测量资料的卡尔曼滤波数学模型

The Mathematic Model of Kalman Filtering for Cross-Fault Measurement

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【作者】 游丽兰刘大杰黄加纳刘学周克昌

【Author】 You Lilan Zhou Kechang(Institute of Dynamics,SSB) Liu Dajie Huang Jiana Liu Xue(Wuhan Technical University of Surveying and Mapping)

【机构】 国家地震局地壳应力研究所武汉测绘科技大学国家地震局地壳应力研究所

【摘要】 本文研究了卡尔曼滤波方法在跨断层测量资料处理中的应用。在统计回归法的基础上,将回归法与卡尔曼滤波结合起来建立了函数模型与随机模型,滤波时不仅考虑断层活动的随机性,也顾及各环境因子对测值影响随时间的变化。并采用自适应滤波方法,用迭代法求得动态噪声方差。本文系统地推导和建立了单测线(水准或基线)、双测线水准、双测线基线及双基线双水准的函数模型。可连续和实时地对跨断层测量资料进行动态处理,不仅求得各时刻的高差或基线长度的滤波值,还可求得断层在垂直升降和水平错动方向上的各时刻变化速率,以及各环境因子的影响。

【Abstract】 This paper makes a probe into the application of Kalman filtering method to the processing of cross-fault measurements. On the basis of statistical regression ,the mathematic and stochastic models of filteration are established by combining regression method with the Kalman filtering taking not only the randomness of fault movement,but also that of environmental effect into consideration. The estimate of variance matrix of dynamic noise is obtained through iteration of adaptive filtering. Models arc deduced respectively for one measuring line (leveling line or baseline) , two measuring lines (leveling lines or baselines) ,and four measuring lines (two baselines and two leveling lines) .and can be used to realtime filteration of cross-fault measurements,obtaining the filtered values,rates of fault vertical and strike movement,and influence coefficients of environmental factors.

  • 【文献出处】 中国地震 ,Earthquake Research In China , 编辑部邮箱 ,1992年03期
  • 【被引频次】8
  • 【下载频次】35
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