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August 1, 1984Geophysics

Inversion of seismic reflection data in the acoustic approximation

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Authors

ATAlbert TarantolaUniversity of Copenhagen

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Implication

Computational study demonstrates nonlinear seismic reflection inversion using acoustic wave modeling, indicating a commercially competitive alternative to traditional unstacked migration.

Key Points

  • To solve the nonlinear inverse problem for seismic reflection data under the acoustic approximation while accounting for data uncertainties and multi-path wave propagation.
  • Formulated an iterative inversion algorithm using a generalized least-squares criterion incorporating data errors and a priori model constraints.
  • Computed forward propagation of the source wavefield alongside time-reversed backpropagation of seismic data residuals through the subsurface model.
  • Calculated spatial cross-correlations of the forward and backpropagated wavefields at each iteration to iteratively update bulk modulus, density, and source functions.
  • Naturally incorporated complex seismic phenomena into model updates, including multiple reflections, refracted wave energy, and surface waves.
  • Demonstrated that full nonlinear seismic waveform inversion directly relates to unstacked migration techniques, providing a computationally viable and commercially competitive imaging framework.

Cite This Study

Albert Tarantola (1984) studied this question.

synapsesocial.com/papers/69dd4c8f7808b00a4799c68dhttps://doi.org/10.1190/1.1441754
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