## Wave equation synthesis and inversion of diffracted multiple seismic reflections |

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### Contents

OneDimensional Noahs Deconvolution | 4 |

The TwoDimensional Forward Problem | 20 |

The TwoDimensional Inverse Problem | 65 |

### Common terms and phrases

2-D reflection seismogram amplitude angles axis boundary condition center frame Claerbout classes of multiples continuation equations curvature deconvolution depth differential equation diffracted multiple reflections diffraction hyperbolas discretization error Doctor of Philosophy downgoing wave downward continue estimate field data finite difference focused forward algorithm forward calculation forward problem free surface geometry I-aT I+aT illustrates inhomogeneous initial plane wave interface intrabed multiples inverse algorithm inverse problem inversion technique long-path-last migrated monocline multiple reflected waves multiple waves Noah's seismogram numerical offset partial differential equation pegleg arrival pegleg multiples pegleg paths plane wave source point scatterer predicted primary and multiple primary reflections record recursion reflection coefficient model reflection seismogram computed reflection seismogram R(x,t reflector mapping reflector model regions sampling seafloor multiples seafloor overlying seismic separate short-path-last simple multiple simulate solution source waveform structure-structure subsurface surface boundary conditions synthetic time-coincident transformation transmission coefficients two-dimensional vertical exaggeration water layer wave field