Full Wavefield Inversion of Anisotropic Elastic Parameters in the Time Domain

Zhang, Meigen; Wang, Miaoyue; Li, Xiaofan; Yang, Xiaochun

doi:10.1002/cjg2.323

Cited by 9 publications

(6 citation statements)

References 14 publications

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“…Skeleton-relaxed mechanism is an efficient approach to describe seismic band attenuation, while Carcione's diffusion-relaxed mechanism is not applicable in low frequency and low porosity cases. At present, single-shot-gather-based full wavefield inversion studies mainly aim at shallow layers above several hundred meters depth [24] , and it is very difficult to invert medium parameters in deep layers directly. The main reason comes from the weakness of deep interface reflections, which are easy to be disturbed by noise and can not be recognized for seismic inversion.…”

Section: Full Wavefield Inversion For Actual Recordsmentioning

confidence: 99%

The Skeleton‐Relaxed Model for Poroviscoelastic Media

et al. 2008

Chinese J of Geophysics

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Based on Biot theory, the relaxation effect of the solid skeleton is considered in a porous media. We introduce the three parameters of P wave quality factor, S wave quality factor and diffusion quality factor to describe the poroviscoelastic wave equations. A pseudo-spectral method is used in wavefield forward modeling. Simulation results show that the skeleton-relaxed model not only works for the fluid saturated porous media in ultrasonic band. It can also be used for the explanation of elastic waves' high attenuation in seismic band, to approximate the solid particles' relaxation effect in a mesoscopic scale. Niche Genetic Algorithms are introduced in the inversion for 24 parameters of a three-layer model. Inversion results of the wavefield without noise hold high precision. But if white noise is added, the parameters whose true values are near singularity will get larger errors. Finally, actual shot gather sections from some district in east China are processed. The solid bulk modulus, the solid density and the quality factors of the shallow layers are estimated.

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Section: Full Wavefield Inversion For Actual Recordsmentioning

confidence: 99%

The Skeleton‐Relaxed Model for Poroviscoelastic Media

et al. 2008

Chinese J of Geophysics

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“…The following methods to get gradient and Hessian matrix in seismic waveform inversion are almost the same as Pratt's except those computed by perturbation analysis, sensitivity matrix computation or adjoint methods. This can be seen in Zhang's (2003) and Xu and Wang's (2004) papers, which are mainly based on finite element method and sensitivity matrix computation to invert the parameters in structured geological model. In these papers, they also analyzed the anti-noise capacity of the Leverberg-Marquard method (Marfurt, 1984) they used to solve the least-square problem.…”

Section: Introductionmentioning

confidence: 97%

Visco-acoustic transmission waveform inversion of velocity structure in space-frequency domain

Long

Zhang

et al. 2009

Earthq Sci

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According to the least square criterion of minimizing the misfit between modeled and observed data, this paper provides a preconditioned gradient method to invert the visco-acoustic velocity structure on the basis of using sparse matrix LU factorization technique to directly solve the visco-acoustic wave forward problem in space-frequency domain. Numerical results obtained in an inclusion model inversion and a layered homogeneous model inversion demonstrate that different scale media have their own frequency responses, and the strategy of using low-frequency inverted result as the starting model in the high-frequency inversion can greatly reduce the non-uniqueness of their solutions. It can also be observed in the experiments that the fast convergence of the algorithm can be achieved by using diagonal elements of Hessian matrix as the preconditioned operator, which fully incorporates the advantage of quadratic convergence of Gauss-Newton method.

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“…In addition, anisotropic parameters are valuable information for lithology discrimination and characterization of fracture networks. Anisotropic FWI can be applied to reconstruct the velocity and anisotropy parameters more accurately (Zhang et al, 2003;Gholami 2012). However, trade-off effects between different parameters increase the nonlinearity of multi-parameter FWI.…”

Section: Introductionmentioning

confidence: 99%

Multi‐parameter Full Waveform Inversion for Acoustic Vti Media Using the Truncated Newton Method

Wang

Dong

2015

Chinese J of Geophysics

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In multi-parameter full waveform inversion (FWI), the trade-off between different parameter classes increases its nonlinearity severely. The magnitude orders of seismic velocities and anisotropic parameters are significantly different, which makes the inverse problem poorly conditioned. Judiciously incorporating the inverse Hessian operator into the FWI scheme can help to alleviate the negative impacts of these two problems in the inversion and improve the inversion accuracy. The truncated Newton (TN) method is one of the optimization methods which can better estimate the inverse Hessian operator. This paper studies the simultaneous inversion of two parameters for acoustic VTI media in the time domain using the TN method. Numerical experiments on different models show that in the context of simultaneous inversion of two parameters for acoustic VTI media, the TN method can account for more accurate inverse Hessian operator than the limited memory Broyden-Fletcher-Goldfarb-Shanno (L-BFGS) method so that it can better balance the updates of two different parameter classes, and reconstruct more accurate parameter models.

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Full Wavefield Inversion of Anisotropic Elastic Parameters in the Time Domain

Cited by 9 publications

References 14 publications

The Skeleton‐Relaxed Model for Poroviscoelastic Media

The Skeleton‐Relaxed Model for Poroviscoelastic Media

Visco-acoustic transmission waveform inversion of velocity structure in space-frequency domain

Multi‐parameter Full Waveform Inversion for Acoustic Vti Media Using the Truncated Newton Method

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