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Transient electromagnetic signal-to-noise separation method based on variational mode decomposition principle

A variational modal decomposition and transient electromagnetic technology, which can be used in electrical/magnetic exploration, geophysical measurement, and re-radiation of sound waves, and can solve problems such as transient electromagnetic data interference.

Active Publication Date: 2020-02-28
JILIN UNIV
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Problems solved by technology

[0004] The technical problem to be solved by the present invention is to provide a transient electromagnetic signal-noise separation method based on the principle of variational mode decomposition to solve the problem that the transient electromagnetic data collected in geological interpretation is disturbed by noise. The method is simple and has excellent Noise separation, amplitude maintenance performance, can also extract noise images, provide conditions for subsequent analysis of noise

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[0037] In order to make the object, technical solution and advantages of the present invention more clear, the present invention will be further described in detail below in conjunction with the examples. It should be understood that the specific embodiments described here are only used to explain the present invention, not to limit the present invention.

[0038] see figure 1 As shown, a transient electromagnetic signal-to-noise separation method based on the principle of variational mode decomposition, decomposes the ground-space electromagnetic data to obtain K modal functions, takes the minimum sum of estimated bandwidths of each component as a constraint, and uses alternating direction The multiplier method continuously updates each mode and its center frequency, and then adaptively separates the bandwidth and center frequency of each component in the frequency domain, so as to properly balance the errors between them, and presents the e-exponential attenuation according ...

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Abstract

The invention relates to the technical field of transient electromagnetic signal processing in geophysical exploration, and discloses a transient electromagnetic signal-to-noise separation method based on a variational mode decomposition principle, which is suitable for electromagnetic data filtering in a time domain. The method comprises the following steps: decomposing noisy transient electromagnetic data s(t) into K intrinsic mode functions uk(t); performing Hilbert transform on each intrinsic mode function to obtain a unilateral frequency spectrum; demodulating the frequency spectrum of each intrinsic mode function uk(t) to a corresponding base band according to the unilateral frequency spectrum, calculating a demodulated L2 norm, and calculating the bandwidth of the decomposed intrinsic mode function to obtain a constraint variation model; introducing a secondary penalty factor alpha and a Lagrange multiplication operator lambda, and converting the constraint variation model intoa non-constraint variation form; and calculating an optimal solution in a non-constraint variation form to obtain a series of optimized intrinsic mode components after VMD decomposition. The method solves the problem that transient electromagnetic data collected in geological interpretation is interfered by noise, is simple and convenient, has excellent noise separation and amplitude maintaining performance, can extract noise images, and provides conditions for subsequent noise analysis.

Description

technical field [0001] The invention relates to the technical field of transient electromagnetic signal processing in geophysical exploration, and discloses a transient electromagnetic signal-to-noise separation method based on the principle of variational mode decomposition, which is suitable for electromagnetic data filtering in the time domain. Background technique [0002] Transient electromagnetic method is a method widely used in the field of electromagnetic prospecting. It uses a transmitter to emit current, and when the current is disconnected, a time-varying field is generated, and a secondary field is generated during underground propagation, which is received by the receiver. to the secondary field to judge the underground situation. However, the received signal is weak and easily affected by power frequency, sky electricity, humanities and geological interference. Therefore, denoising the collected signals is the prerequisite for subsequent imaging and geologica...

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Application Information

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IPC IPC(8): G01V3/08G01V3/38
CPCG01V3/083G01V3/38G01V2003/086
Inventor 栾卉刘俐君关哲吴琼耿毅男王若冰于霄洋
Owner JILIN UNIV
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