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題名 | 以卡曼過濾法進行地層下陷之預測分析=Ground Subsidence Prediction by Kalman Filtering |
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作者 | 張裕民; 陳春盛; Chang, Yu-min; Chen, Chun-sung; |
期刊 | 測量工程 |
出版日期 | 19970300 |
卷期 | 39:1 1997.03[民86.03] |
頁次 | 頁1-13 |
分類號 | 441.103 |
語文 | chi |
關鍵詞 | 卡曼過濾法; 地層下陷; 動態分析; 壓密試驗; Kalman filtering; Ground subsidence; Dynamic analysis; Consolidation test; |
中文摘要 | 地層下陷是影響工程安全的重要因素之一,其分析可分為靜態分析與動態分析。 靜態分析是以所觀測的數據分析過去及目前地層下陷的狀況,而動態分析則將地層下陷視為 高程、速度、加速度及時間的函數而可預測未來地層下陷的狀況。 本文提供一種新的動態分析方法 -- 稱為卡曼過濾法 -- 來預測地層下陷的狀況。文中首先 推導卡曼過濾法預測模式之流程,並說明預測地層下陷引用該模式時所需變數的指定方式;其 次,以臺北縣之一新建工程的觀測數據來實証該模式的運用過程。 結果發現卡曼過濾法預測值與實測值大致相符,但在變形曲線之斜率變化時段其差異較大。 經探討原因,加入地層土壤試驗資料修正後,其差異明顯縮小。因而得到下述的結論:利用 卡曼過濾法配合地層土壤試驗資料,可精確有效地分析預測地層下陷的狀況。 |
英文摘要 | The ground subsidence is one of the most important factors for enginee- ring safety. The analysis of ground subsidence can be categorized into two main groups:static analysis and dynamic analysis. In the static analysis, the current heights of groudpoints are considred as the function of velocity, acceleration, and time, so they are possible to be predicted by the previous measuring data. A new technique of the dynamic analysis, the Kalman filtering model, is being developed in this paper. The process of the Kalman filtering model is derived. The status variables of this model used in the prediction of ground subsidence are assigned. A case study on the implementation of the new technique is given from a building area in Taipei county. The result shows that the values of Kalman filtering model make small differences with the observed values in general, but it makes large differences during the slope change in the deformation-time curve. The differences are obviously reduced by involved the geotechnical data of soil consolidation test. These resultsconclude that the Kalman filtering model integrating the geotchnical data may predict the ground subsidence precisely and effectively. |
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