Frequency‐domain acoustic‐wave modeling and inversion of crosshole data: Part II—Inversion method, synthetic experiments and real‐data results

Song, Z. M.; Williamson, Paul; Pratt, R. G.

doi:10.1190/1.1443818

Cited by 150 publications

(74 citation statements)

References 33 publications

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“…The most popular approaches to solve this nonlinear inverse problem are the Gauss-Newton and nonlinear conjugate gradient methods ͑see Gauthier et al, 1986;Mora, 1987;Pratt and Worthington, 1990;Song et al, 1995;Liao and McMechan, 1996;Pratt et al, 1998;Pratt, 1999;Shipp and Singh, 2002;Sirgue and Pratt, 2004;Ben-Hadj-Ali et al, 2008;Hu et al, 2009͒. In these approaches, the contrast is reconstructed iteratively by minimizing the cost function…”

Section: The Gauss-newton and Nonlinear Conjugate Gradient Methodsmentioning

confidence: 99%

“…Here we address only the frequency-domain case. Most inversion methods reported in the literature are based on gradient approaches, such as the nonlinear conjugate gradient methods ͑see Pratt and Worthington, 1990;Song et al, 1995;Liao and McMechan, 1996;Pratt, 1999;Shipp and Singh, 2002;Ravaut et al, 2004;Sirgue and Pratt, 2004;Ben-Hadj-Ali et al, 2008;Malinowski and Operto, 2008;Mulder and Plessix, 2008͒ and the Gauss-Newton methods ͑see Pratt et al, 1998;Hu et al, 2009͒. The Gauss-Newton method is preferable because of its faster convergence rate.…”

Section: Introductionmentioning

confidence: 99%

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Application of the finite-difference contrast-source inversion algorithm to seismic full-waveform data

Abubakar

Habashy

et al. 2009

GEOPHYSICS

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We have applied the finite-difference contrast-source inversion ͑FDCSI͒ method to seismic full-waveform inversion problems. The FDCSI method is an iterative nonlinear inversion algorithm. However, unlike the nonlinear conjugate gradient method and the Gauss-Newton method, FDCSI does not solve any full forward problem explicitly in each iterative step of the inversion process. This feature makes the method very efficient in solving large-scale computational problems. It is shown that FDCSI, with a significant lower computation cost, can produce inversion results comparable in quality to those produced by the Gauss-Newton method and better than those produced by the nonlinear conjugate gradient method. Another attractive feature of the FDCSI method is that it is capable of employing an inhomogeneous background medium without any extra or special effort. This feature is useful when dealing with time-lapse inversion problems where the objective is to reconstruct changes between the baseline and the monitor model. By using the baseline model as the background medium in crosswell seismic monitoring problems, high quality time-lapse inversion results are obtained.

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Section: The Gauss-newton and Nonlinear Conjugate Gradient Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Application of the finite-difference contrast-source inversion algorithm to seismic full-waveform data

Abubakar

Habashy

et al. 2009

GEOPHYSICS

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“…A number of different approaches have been proposed for FWI in viscous media, most notably in the frequency domain (Song et al 1995) or in the Laplace-Fourier domain (Kamei & Pratt 2013). The simplicity of modelling viscous attenuation in the frequency domain is one of its main advantages over the time-domain; one only has to define complex velocities to implement an arbitrary attenuation profile in frequency (Toksöz & Johnston 1981).…”

Section: Introductionmentioning

confidence: 99%

Time domain viscoelastic full waveform inversion

Fabien‐Ouellet¹,

Gloaguen²,

Giroux³

2017

Geophysical Journal International

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S U M M A R YViscous attenuation can have a strong impact on seismic wave propagation, but it is rarely taken into account in full waveform inversion (FWI). When viscoelasticity is considered in time domain FWI, the displacement formulation of the wave equation is usually used instead of the popular velocity-stress formulation. However, inversion schemes rely on the adjoint equations, which are quite different for the velocity-stress formulation than for the displacement formulation. In this paper, we apply the adjoint state method to the isotropic viscoelastic wave equation in the velocity-stress formulation based on the generalized standard linear solid rheology. By applying linear transformations to the wave equation before deriving the adjoint state equations, we obtain two symmetric sets of partial differential equations for the forward and adjoint variables. The resulting sets of equations only differ by a sign change and can be solved by the same numerical implementation. We also investigate the crosstalk between parameter classes (velocity and attenuation) of the viscoelastic equation. More specifically, we show that the attenuation levels can be used to recover the quality factors of P and S waves, but that they are very sensitive to velocity errors. Finally, we present a synthetic example of viscoelastic FWI in the context of monitoring CO 2 geological sequestration. We show that FWI based on our formulation can indeed recover P-and S-wave velocities and their attenuation levels when attenuation is high enough. Both changes in velocity and attenuation levels recovered with FWI can be used to track the CO 2 plume during and after injection. Further studies are required to evaluate the performance of viscoelastic FWI on real data.

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“…It is a powerful way in reconstructing complex velocity structures. The inversion can be performed in the time-space domain [1][2][3][4] or in the frequency-space domain [5][6][7][8][9]. The frequency-domain inversion approach is equivalent to the time-domain inversion approach if all of the frequency data components are used in the inversion process [9].…”

Section: Introductionmentioning

confidence: 99%

Full-waveform Velocity Inversion Based on the Acoustic Wave Equation

Zhang¹,

Luo²

2013

AJCM

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Full-waveform velocity inversion based on the acoustic wave equation in the time domain is investigated in this paper. The inversion is the iterative minimization of the misfit between observed data and synthetic data obtained by a numerical solution of the wave equation. Two inversion algorithms in combination with the CG method and the BFGS method are described respectively. Numerical computations for two models including the benchmark Marmousi model with complex structure are implemented. The inversion results show that the BFGS-based algorithm behaves better in inversion than the CG-based algorithm does. Moreover, the good inversion result for Marmousi model with the BFGS-based algorithm suggests the quasi-Newton methods can provide an important tool for large-scale velocity inversion. More computations demonstrate the correctness and effectives of our inversion algorithms and code.

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Frequency‐domain acoustic‐wave modeling and inversion of crosshole data: Part II—Inversion method, synthetic experiments and real‐data results

Cited by 150 publications

References 33 publications

Application of the finite-difference contrast-source inversion algorithm to seismic full-waveform data

Application of the finite-difference contrast-source inversion algorithm to seismic full-waveform data

Time domain viscoelastic full waveform inversion

Full-waveform Velocity Inversion Based on the Acoustic Wave Equation

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