## Seismic Migration: Imaging of Acoustic Energy by Wave Field Extrapolation, Part A: Theoretical AspectsThis is the third edition of Part A of Seismic Migration - now widely recognized as an authoritative, thorough treatment of seismic migration theory and methods. In previous editions, the emphasis has been on migration techniques based on the one-way wave equations. Nowadays, however, two-way wave-equation-based techniques are receiving increasingly more attention in the seismic literature and it is expected that two-way migration software will play a vital role in the future. In this new edition, therefore, Professor Berkhout devotes an equal amount of attention to one-way and two-way techniques. In chapters 5 to 12, all subjects are discussed according to the one-way and two-way approach, and the results are related to each other. Considering the growing importance of pre-stack migration in the seismic industry, ample attention has been paid to the theory of multi-dimensional pre-stack inversion. In particular, pre-stack migration has been treated in the shot-receiver space as well as in the midpoint-space. Again, results are related to each other. Chapter 11 is a completely new chapter and contains material on multi-dimensional inversion techniques based on the inverse scattering approach. A matrix formulation is derived and the close relationship with seismic migration is discussed. |

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### Contents

INTR0DUCTI0N 1 | 17 |

The basic physical experiment in seismics | 20 |

The monochromatic seismic data matrix | 22 |

Copyright | |

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### Common terms and phrases

aliasing amplitude errors anti-aliasing filter aperture angle applied bandlimited Berkhout chapter CMP gather common offset computed deconvolution defined depth migration detector diagonal diffraction diffractor dip angle directivity pattern downward extrapolation expression extrapolation depth extrapolation step field patterns finite difference focus depth focussing Fourier transform frequency component frequency domain Geophysical given Hence hyperbolic hyperbolic operator imaging input data inverse wave field Kirchhoff summation operator lateral resolution lateral velocity variations layer low-pass filter macro subsurface model matrix migration algorithms migration half circles migration operator migration output migration process migration result migration techniques migration velocity monochromatic nonrecursive paraxial approximation phase errors plane wave point source post-stack migration pre-stack migration quantization errors recursive reflector responses seismic data seismic migration seismic response shown in figure shows Snell's law spatial surface unmigrated upward propagation velocity errors velocity model vertical wave equation wave field extrapolation wave number zero offset data zero offset reflectivity