Robust one-step (deconvolution + integration) seismic inversion in the frequency domain

2012 ◽  
Author(s):  
Ivan Priezzhev ◽  
Aaron Scollard
Keyword(s):  
Frequency Domain ◽  
Seismic Inversion ◽  
One Step

Comparison of source-independent methods of elastic waveform inversion

Geophysics ◽  
2006 ◽  
Vol 71 (6) ◽  
pp. R91-R100 ◽  
Author(s):  
Kun Xu ◽  
Stewart A. Greenhalgh ◽  
MiaoYue Wang
Keyword(s):  
Elastic Wave ◽  
Frequency Domain ◽  
Numerical Experiments ◽  
Random Noise ◽  
Waveform Inversion ◽  
Seismic Inversion ◽  
Inversion Method ◽  
Practical Procedure ◽  
Wave Inversion ◽  
Full Waveform

In this paper, we investigate several source-independent methods of nonlinear full-waveform inversion of multicomponent elastic-wave data. This includes iterative estimation of source signature (IES), standard trace normalization (STN), and average trace normalization (ATN) inversion methods. All are based on the finite-element method in the frequency domain. One synthetic elastic crosshole model is used to compare the recovered images with all these methods as well as the known source signature (KSS) inversion method. The numerical experiments show that the IES method is superior to both STN and ATN methods in two-component, elastic-wave inversion in the frequency domain when the source signature is unknown. The STN and ATN methods have limitations associated with near-zero amplitudes (or polarity reversals) in traces from one of the components, which destroy the energy balance in the normalized traces and cause a loss of frequency information. But the ATN method is somewhat superior to the STN method in suppressing random noise and improving stability, as the developed formulas and the numerical experiments show. We suggest the IES method as a practical procedure for multicomponent seismic inversion.

Signal Extraction from Chaotic Communications

1997 ◽  
Vol 07 (07) ◽  
pp. 1579-1597 ◽  
Author(s):  
Kevin M. Short
Keyword(s):  
Frequency Domain ◽  
Communication Systems ◽  
Order Approximation ◽  
Block Size ◽  
Signal Extraction ◽  
Frequency Content ◽  
One Step ◽  
Periodic Signals ◽  
Multi Step Methods ◽  
Message Signal

This paper will consider the use of nonlinear dynamic (NLD) forecasting to extract messages from chaotic communication systems. Earlier work has shown that one-step prediction methods have sometimes been able to reveal the presence of hidden messages as well as the frequency content of the hidden messages. However, recovery of the actual hidden message usually involved filtering in the frequency domain. In this paper we show that it may be possible to extract the hidden message signal without filtering in the frequency domain. The approaches which will be discussed involve either the use of multi step predictions or a resumming process on the residuals after one-step prediction. For the multi step methods, two related approaches will be used. The first is primarily applicable to periodic signals, and will use the frequency information from one-step predictions to determine a block size to use for multi step predictions. The second will attempt dynamic detection of message signals using a windowed measure of the prediction error. For the resumming approach, it will be shown that even a lowest-order approximation can lead to faithful extraction of the hidden message signal for a ramping message signal that proved difficult in earlier work. These approaches will be applied to simple examples of communication schemes using signal masking and modulated chaos.

scholarly journals 3D Frequency-Domain Seismic Inversion with Controlled Sloppiness

2014 ◽  
Vol 36 (5) ◽  
pp. S192-S217 ◽  
Author(s):  
Tristan van Leeuwen ◽  
Felix J. Herrmann
Keyword(s):  
Frequency Domain ◽  
Seismic Inversion

scholarly journals Seismic Reflection Coefficient Inversion Using Basis Pursuit Denoising in the Joint Time-Frequency Domain

Energies ◽  
2020 ◽  
Vol 13 (19) ◽  
pp. 5025
Author(s):  
Xuegong Zhao ◽  
Hao Wu ◽  
Xinyan Li ◽  
Zhenming Peng ◽  
Yalin Li
Keyword(s):  
High Resolution ◽  
Reflection Coefficient ◽  
Objective Function ◽  
Frequency Domain ◽  
Seismic Data ◽  
Seismic Reflection ◽  
Seismic Inversion ◽  
Frequency Resolution ◽  
Basis Pursuit ◽  
Time Frequency

Seismic reflection coefficient inversion in the joint time-frequency domain is a method for inverting reflection coefficients using time domain and frequency domain information simultaneously. It can effectively improve the time-frequency resolution of seismic data. However, existing research lacks an analysis of the factors that affect the resolution of inversion results. In this paper, we analyze the influence of parameters, such as the length of the time window, the size of the sliding step, the dominant frequency band, and the regularization factor of the objective function on inversion results. The SPGL1 algorithm for basis pursuit denoising was used to solve our proposed objective function. The applied geological model and experimental field results show that our method can obtain a high-resolution seismic reflection coefficient section, thus providing a potential avenue for high-resolution seismic data processing and seismic inversion, especially for thin reservoir inversion and prediction.

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