Geophysics · 1988 · 173 citations · 20 references
Natural SciencesEarth SciencesGeophysicsCrustal GeophysicsExploration GeophysicsSeismologyGeophysical InversionSeismic ExplorationSeismic ReflectionSeismic TomographySeismic Wave PropagationWave ReflectionDiffraction TomographyElastic InversionElastic Seismic InversionElastic WavesP-wave Velocity ModelsPrestack MigrationSeismic Data InversionSeismic Inversion
Abstract Elastic inversion of multioffset seismic data by wavefield fitting yields a maximum probability P-wave and S-wave velocity and density model of the Earth. Theoretically, the inversion accounts for all elastic waves including reflected and transmitted waves, mode conversions, shear waves, head waves, Rayleigh waves, etc. These different wave types tend to resolve different components of the Earth properties. By inverting two-component synthetic data, I show that reflection data mainly resolve high wavenumbers, while transmission data mainly resolve low wavenumbers of the P-wave and S-wave velocity model. The inversion of reflection data (shot gathers) yields a result that looks like a prestack elastic migration but the meaning of the inverted data is not simply reflectivity: it is the P-wave and S-wave velocity perturbation. The inversion of transmission data (VSPs) yields a solution that contains useful interval velocity information and is comparable to an elastic diffraction tomography result.
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Linear and nonlinear programming.
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Inverse problems = Quest for information
Albert Tarantola, Bernard Valette · 1982 · 982 citations · Full text
Nonlinear two-dimensional elastic inversion of multioffset seismic data
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Approximation Theory and Methods.
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