Journal ArticleDOI
A strategy for nonlinear elastic inversion of seismic reflection data
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In this article, the inverse problem of interpreting seismic reflection data can be posed with sufficient generality using the concepts of inverse theory, which consists of obtaining the Earth model for which the predicted data best fit the observed data.Abstract:
The problem of interpretation of seismic reflection data can be posed with sufficient generality using the concepts of inverse theory. In its roughest formulation, the inverse problem consists of obtaining the Earth model for which the predicted data best fit the observed data. If an adequate forward model is used, this best model will give the best images of the Earth’s interior. Three parameters are needed for describing a perfectly elastic, isotropic, Earth: the density ρ(x) and the Lame parameters λ(x) and μ(x), or the density ρ(x) and the P-wave and S-wave velocities α(x) and β(x). The choice of parameters is not neutral, in the sense that although theoretically equivalent, if they are not adequately chosen the numerical algorithms in the inversion can be inefficient. In the long (spatial) wavelengths of the model, adequate parameters are the P-wave and S-wave velocities, while in the short (spatial) wavelengths, P-wave impedance, S-wave impedance, and density are adequate. The problem of inversion o...read more
Citations
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Journal ArticleDOI
An overview of full-waveform inversion in exploration geophysics
Jean Virieux,Stéphane Operto +1 more
TL;DR: This review attempts to illuminate the state of the art of FWI by building accurate starting models with automatic procedures and/or recording low frequencies, and improving computational efficiency by data-compression techniquestomake3DelasticFWIfeasible.
Journal ArticleDOI
Seismic waveform inversion in the frequency domain; Part 1, Theory and verification in a physical scale model
TL;DR: In this article, a frequency-space domain approach to waveform inversion is presented, which is a local descent algorithm that proceeds from a starting model to refine the model in order to reduce the waveform misfit between observed and model data.
Journal ArticleDOI
Gauss–Newton and full Newton methods in frequency–space seismic waveform inversion
TL;DR: In this paper, the frequency-domain inversion (FDI) method was proposed to solve the non-linear problem of extracting a smooth background velocity model from surface seismic-reuse data.
Journal ArticleDOI
Efficient waveform inversion and imaging: A strategy for selecting temporal frequencies
Laurent Sirgue,R. Gerhard Pratt +1 more
TL;DR: A new discretization strategy is defined that depends on the maximum effective offset present in the surface seismic survey: the larger the range of offsets, the fewer frequencies are required.
Journal ArticleDOI
Seismic imaging of complex onshore structures by 2D elastic frequency-domain full-waveform inversion
TL;DR: In this paper, the authors evaluated different multiscale strategies with the aim of mitigating the nonlinearities of the elastic properties of the subsurface at depth for civil engineering applications and oil and gas-reservoir characterization.
References
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Journal ArticleDOI
Methods of Theoretical Physics. By P.M. Morse and H. Feschbach. 2vols., Pp.xxii, 1978. 120s. each vol. 1953.(McGraw-Hill)
Journal ArticleDOI
P-SV wave propagation in heterogeneous media: Velocity‐stress finite‐difference method
TL;DR: In this paper, a finite-difference method for modeling P-SV wave propagation in heterogeneous media is presented, which is an extension of the method I previously proposed for modeling SH-wave propagation by using velocity and stress in a discrete grid, where the stability condition and the P-wave phase velocity dispersion curve do not depend on the Poisson's ratio.
Journal ArticleDOI
Generalized Nonlinear Inverse Problems Solved Using the Least Squares Criterion
Albert Tarantola,Bernard Valette +1 more
TL;DR: In this article, a general definition of the nonlinear least squares inverse problem is given, where the form of the theoretical relationship between data and unknowns may be general (in particular, nonlinear integrodierentia l equations).
Journal ArticleDOI
Toward a unified theory of reflector mapping
TL;DR: In this article, the authors present a seismic mapping of reflectors in the presence of an arbitrary velocity model, dipping and curved reflectors, diffractions, ghosts, surface elevation variations, and multiple reflections.
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