Full waveform inversion of seismic data for a viscoelastic medium

Charara, Marwan; Barnes, Christophe; Tarantola, Albert

doi:10.1007/bfb0010284

Cited by 31 publications

(18 citation statements)

References 23 publications

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“…The computer resources of that time were barely sufficient for such experiments, but Albert and his research groupThe Geophysical Tomography Group -had some success in the late 1980s with the first, careful full-waveform inversions (see, e.g., Crase et al, 1992). A later example of inversions by Albert's group (Charara et al, 1996(Charara et al, , 2000Barnes et al, 1998;Tarantola, 2005) is shown in Figures 3-7b reproduced from Tarantola (2005). Three-component seismometers, located between 2 and 4 kilometers depth in a borehole, record seismic waves generated at the surface (Figure 3).…”

Section: A Most Difficult Problemmentioning

confidence: 99%

“…Once this was done, a preconditioned steepest descent algorithm was able to provide an acceptable model in a few tens of iterations (see Charara et al, 1996Charara et al, , 2000.…”

Section: Embracing Randomnessmentioning

confidence: 99%

“…Figure 4. A sketch of the measurement geometry in the full-waveform inversion example of Charara et al (1996Charara et al ( , 2000, and Barnes et al, 1998. Time (ms) Figure 3.…”

Section: Embracing Randomnessmentioning

confidence: 99%

“…Time (ms) Figure 3. Horizontal and vertical component data were used in the full waveform inversion of Charara et al (1996Charara et al ( , 1998Charara et al ( , 2000. The figure shows the horizontal component only.…”

Section: Embracing Randomnessmentioning

confidence: 99%

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Quest for consistency, symmetry, and simplicity — The legacy of Albert Tarantola

Mosegaard

2011

GEOPHYSICS

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On 6 December 2009, the distinguished Spanish-French physicist and geoscientist, Albert Tarantola, passed away at the age of 60. Born in Barcelona in 1949, he went to Paris where he lived most of his life, and worked as a professor at Institut de Physique du Globe de Paris. His extensive scientific production and remarkable achievements in inverse problem theory and geophysical data analysis established him as one of the most influential mathematical geoscientists of our time. He became the father of probabilistic inverse theory, a theory that he passionately defended against severe criticism and managed to propagate to a major part of the geophysical community. Another major achievement was his contributions to the theory of seismic waveform inversion—a work that right now is unfolding its potential in large-scale computations. Albert’s contributions were not limited to geoscience. He started his career in astrophysics, and later in his life he wrote several papers and books on physics and probability, including new formulations of fluid dynamics, elasticity theory, global positioning, and scientific inference. Albert possessed a unique combination of exceptional skills and remarkable mental energy. He was a veritable powerhouse with an unusual work ethic, and his passion for science will remain an ideal for all those who worked with him.

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Section: A Most Difficult Problemmentioning

confidence: 99%

“…Once this was done, a preconditioned steepest descent algorithm was able to provide an acceptable model in a few tens of iterations (see Charara et al, 1996Charara et al, , 2000.…”

Section: Embracing Randomnessmentioning

confidence: 99%

“…Figure 4. A sketch of the measurement geometry in the full-waveform inversion example of Charara et al (1996Charara et al ( , 2000, and Barnes et al, 1998. Time (ms) Figure 3.…”

Section: Embracing Randomnessmentioning

confidence: 99%

Section: Embracing Randomnessmentioning

confidence: 99%

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Quest for consistency, symmetry, and simplicity — The legacy of Albert Tarantola

Mosegaard

2011

GEOPHYSICS

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“…Most authors only consider the viscoacoustic case (Liao & McMechan 1995, 1996Causse et al 1999;Bai et al 2014). When viscoelasticity is considered, like in the theoretical works of Tarantola (1988) or more recently by Charara et al (2000), Fichtner et al (2006) and Askan et al (2007), the displacement formulation of the wave equation is used. However, this formalism is not readily applicable to the velocitystress scheme popularized by Virieux (1986) and Levander (1988), because the adjoint state equations for the velocity-stress and the displacement formulations are different (Castellanos et al 2011).…”

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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Velocity and Density Reconstruction Based on Scattering Angle Separation

Luo

2018

Pure Appl. Geophys.

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Full waveform inversion of seismic data for a viscoelastic medium

Cited by 31 publications

References 23 publications

Quest for consistency, symmetry, and simplicity — The legacy of Albert Tarantola

Quest for consistency, symmetry, and simplicity — The legacy of Albert Tarantola

Time domain viscoelastic full waveform inversion

Velocity and Density Reconstruction Based on Scattering Angle Separation

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