Microseismic signal noise reduction filtering method based on VMD and wavelet packet
A wavelet packet and microseismic technology, applied in the field of signal processing, can solve the problems of high false positive rate, weak real-time algorithm, and low picking accuracy.
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[0076] Below in conjunction with accompanying drawing and specific embodiment the present invention is described in further detail:
[0077] A noise reduction and filtering method for microseismic signals based on VMD and wavelet packets, the process is as follows figure 1 shown, including the following steps:
[0078] Step 1: Read the monitoring data time series X(t) of the noisy microseismic signal, where t=1,2,...,T; figure 2 shown;
[0079] Step 2: Perform VMD decomposition on the noisy microseismic signal to obtain a series of variational modal components; image 3 shown;
[0080] VMD decomposition is performed on noisy microseismic signals, and the variational constraint problem is to find k modal functions u k (t)(k=1,2,3...6), the sum of the estimated bandwidths of the decomposed modal components is required to be the smallest, and the sum of each mode is equal to the noisy microseismic signal X. The specific structure is:
[0081] Through the Hilbert transformat...
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