Multi-scale signed envelope inversion

Chen, Guoxin; Wu, Ru‐Shan; Wang, Yuqing; Chen, Sheng‐Chang

doi:10.1016/j.jappgeo.2018.04.008

Cited by 27 publications

(3 citation statements)

References 19 publications

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“…The performance of the conventional EI and FWI on the salt model in numerical experiments also verified this inference. Based on the above analysis, a new direct envelope Fréchet derivative was proposed (Chen, ; Chen & Wu, ; Chen, Wu, & Chen, , ; Chen, Wu, Wang, & Chen, ; Wu & Chen, , , ; Wu et al, ) to derive the sensitivity operator of the EI using the WAE

\begin{matrix} lefttrue \\ \frac{\partial σ_{W}}{\partial v} = \sum_{italicSRT} r_{W} (t) \frac{\partial r_{W}}{\partial e_{W} (t)} \frac{\partial e_{W_{syn}} (t)}{\partial v}, \\ = \sum_{italicSRT} r_{W} (t) \frac{1}{τ_{W}} \int_{- τ_{W} / 2}^{τ_{W} / 2} d t^{'} W (t - t^{'}) \frac{\partial e_{syn}^{2} (t^{'})}{\partial v}, \end{matrix}

where

\partial e_{W_{syn}} ((), t) / \partial v

is the new envelope Fréchet derivative.…”

Section: Theory and Methodsmentioning

confidence: 99%

Multiscale Direct Envelope Inversion: Algorithm and Methodology for Application to the Salt Structure Inversion

Chen

2019

Earth and Space Science

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For the full‐waveform inversion, obtaining a globally optimal solution is difficult when the seismic data do not contain sufficient low‐frequency information and the inversion object is a salt structure with a large‐scale salt dome. The large salt dome presents difficulty for the inversion of the salt structure; however, it also confers a convenience that can be utilized: A large salt dome makes the events in the seismic record sparse and isolated. We use the envelope to obtain the arrival time of the events in the seismic data and apply multiscale strategies to extract the low‐frequency information of the seismic data that relates to the long‐wavelength components of the subsurface. In calculating the gradient, the envelope Fréchet derivative is used to take advantage of the multiscale envelope for the characteristics of the salt structure. Therefore, the multiscale direct envelope inversion using the window‐averaged envelope and the direct envelope Fréchet derivative is proposed. To further improve the computational efficiency and inversion quality of the multiscale direct envelope inversion, several auxiliary strategies are proposed: A joint misfit function is designed to make the inversion method more adaptable, and an offset weighting factor is introduced to implement the multioffset inversion method to improve the inversion quality of subsalt. We analyze the antinoise performance of the multiscale direct envelope inversion. The SEG/EAGE salt model is used to test the application effect of the multiscale direct envelope inversion. The antinoise ability and insensitivity to low‐frequency data of the method are verified in the numerical experiments.

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\begin{matrix} lefttrue \\ \frac{\partial σ_{W}}{\partial v} = \sum_{italicSRT} r_{W} (t) \frac{\partial r_{W}}{\partial e_{W} (t)} \frac{\partial e_{W_{syn}} (t)}{\partial v}, \\ = \sum_{italicSRT} r_{W} (t) \frac{1}{τ_{W}} \int_{- τ_{W} / 2}^{τ_{W} / 2} d t^{'} W (t - t^{'}) \frac{\partial e_{syn}^{2} (t^{'})}{\partial v}, \end{matrix}

where

\partial e_{W_{syn}} ((), t) / \partial v

is the new envelope Fréchet derivative.…”

Section: Theory and Methodsmentioning

confidence: 99%

Multiscale Direct Envelope Inversion: Algorithm and Methodology for Application to the Salt Structure Inversion

Chen

2019

Earth and Space Science

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“…For data without sufficient low frequency information, some researchers have proposed generating artificial low frequencies by approximating the data in a transformed domain [19,20,21,22]. Envelope inversion [23,24,25,26,27,28,29,30,31,32] can reduce the number of local minima by comparing the envelope of data, which induces low frequency information. For reflection dominated data, [33] and [34] developed a method based mainly on the work of [35] to invert for smooth velocity models using modeled reflected energy from an image and referred to it as reflected waveform inversion (RWI).…”

Section: A C C E P T E D Accepted Manuscriptmentioning

confidence: 99%

A new full waveform inversion method based on shifted correlation of the envelope and its implementation based on OPENCL

Alkhalifah

Zhang

et al. 2019

Computers & Geosciences

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“…For the traditional initial model construction, logging data interpolation (Doyen et al, 1997;Liu et al, 2008) or velocity information (Al-Yahya and Kamal, 1989;Li et al, 2014;Zhao et al, 2019a, b) is usually used for modeling, while the inversion quality affects by well number or velocity field's information. To solve the problem of low-frequency missing, a seismic envelope inversion based on signal modulation theory is proposed for the initial model construction in full-waveform inversion (Wu et al, 2014;Luo et al, 2015;Chen et al, 2018;Luo et al, 2019Luo et al, , 2021Yang et al, 2022).…”

Section: Introductionmentioning

confidence: 99%

Envelope-based constrained model for multiparameter pre-stack seismic inversion

Shan

Yang

et al. 2022

J Petrol Explor Prod Technol

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Pre-stack seismic inversion is an effective method to estimate multiparameter from seismic reflection data in the oil–gas reservoir exploration. In order to get a reliable inverted parameter result, a constrained model is commonly used to reduce the multi-solution in the seismic inversion. However, it is hard to get an appropriate constrained model by conventional well-log data interpolation or velocity field in offshore oil–gas exploration with sparse wells. Envelope inversion has been successfully applied to get a good initial model with low-frequency components in full-waveform inversion. In order to fully exploit the rich information contained in seismic data, we introduce envelope inversion into background modeling based on convolution theory and propose a multiparameter pre-stack seismic inversion with envelope prior constraint. Both inversion results of the model and field data indicate the effectiveness and adaptability of the proposed method in multiparameter estimation.

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Multi-scale signed envelope inversion

Cited by 27 publications

References 19 publications

Multiscale Direct Envelope Inversion: Algorithm and Methodology for Application to the Salt Structure Inversion

Multiscale Direct Envelope Inversion: Algorithm and Methodology for Application to the Salt Structure Inversion

A new full waveform inversion method based on shifted correlation of the envelope and its implementation based on OPENCL

Envelope-based constrained model for multiparameter pre-stack seismic inversion

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