Improved Gray Model Tunnel Settlement Monitoring Method Based on SVD Noise Removal
A technology of tunnel settlement and gray model, applied in the direction of electrical digital data processing, special data processing applications, measuring devices, etc., can solve problems such as large modeling errors, improve fitting prediction accuracy, simple modeling principle, and improve accuracy Effect
Active Publication Date: 2021-08-31
QINGDAO TECHNOLOGICAL UNIVERSITY +1
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However, the modeling accuracy of this model has always attracted the attention of gray system theory researchers.
However, in addition to the approximate homogeneous exponential law data sequence, there are also a large number of systematic characteristic data sequences with non-homogeneous exponential characteristics in reality. Using gray models that are only suitable for fitting and predicting homogeneous exponential law data sequences to simulate Data series with homogeneous exponential law characteristics often have large modeling errors
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[0067] An improved gray model tunnel settlement monitoring method based on SVD denoising processing, comprising the following steps:
[0068] Step 1, constructing a reconstruction matrix A based on the phase space reconstruction theory based on the measured settlement signal y(i) (i=1, 2, 3, ..., N),
[0069]
[0070] Perform singular value decomposition on matrix A, A=USV H , where U, V are respectively m×m, n×n dimensional orthogonal matrix (m=k, n=N-k+1), S is a m×n diagonal matrix, and the diagonal element is λ 1 ,λ 2 ,λ 3 ,...λ p , p=min(m,n) and λ 1 ≥λ 2 ≥λ 3 ≥…≥λ p ; lambda 1 ,λ 2 ,λ 3 ,...λ p become the singular value of matrix A;
[0071] If the rank of matrix A is r, take the first r singular values that mainly reflect the useful signal, and set the remaining smaller singular values to zero to remove the noise in the signal, then the singular value decomposition of matrix A can be abbreviated as
[0072] Fast Fourier transform is performed on th...
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The invention belongs to the technical field of tunnel settlement monitoring, and specifically relates to an improved gray model tunnel settlement monitoring method based on SVD denoising processing. Firstly, the measured settlement signal is subjected to SVD denoising processing, and then the improved gray model NGM (1 , 1, k) model to predict tunnel settlement. On the basis of the NGM ashing model, the present invention further improves the fitting prediction accuracy by improving the whitening equation, and the modeling principle is simple, without increasing the complexity of the model; the improved ashing model is used for prediction, and the prediction model is improved for various influences. The tolerance of different factors improves the accuracy of the subway tunnel settlement prediction model.
Description
technical field [0001] The invention belongs to the technical field of tunnel settlement monitoring, in particular to an improved gray model tunnel settlement monitoring method based on SVD denoising processing. Background technique [0002] Tunnel deformation analysis and prediction play a very important role in the construction process and later operation process of the project. Through the reasonable analysis and modeling processing of the original detection data, accurate and reliable prediction can be provided, which is the basis for the safety assessment of engineering buildings. important support. However, the settlement data is disturbed by various factors, and there are disturbance errors in the prediction results. During the construction period and the service period of the building, due to factors such as the increase of load or the self-weight consolidation of the foundation soil layer, the building will experience different degrees of settlement. The settlemen...
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IPC IPC(8): G06F30/20G06F17/16G06F17/15G06F17/14G06F17/11G01C5/00
CPCG01C5/00G06F17/11G06F17/142G06F17/15G06F17/16
Inventor 张拥军夏煌帅唐世斌聂闻刘洪治阎明东马天辉王俊毅杨文祥王盛王文
Owner QINGDAO TECHNOLOGICAL UNIVERSITY