| Preface and acknowledgments | p. ix |
| Introduction - modeling, migration, imaging, and inversion | p. 1 |
| Seismic data contains information | p. 1 |
| Models for propagation and reflection | p. 1 |
| Going forward to go back | p. 3 |
| Seismic and non-seismic imaging | p. 3 |
| Motivation for migration | p. 4 |
| Time and depth migration | p. 6 |
| Migration velocity | p. 6 |
| Full-wave and asymptotic migration | p. 8 |
| Seismic migration and inversion | p. 9 |
| True amplitude migration | p. 9 |
| Linear and nonlinear processes | p. 10 |
| Basic migration concepts | p. 11 |
| Migration as a map | p. 11 |
| Ray-theoretical migration concepts | p. 16 |
| Downward continuation | p. 25 |
| Reverse time migration | p. 33 |
| Claerbout one-way difference-equation migration | p. 37 |
| Frequency-wavenumber migration methods | p. 44 |
| Other methods | p. 52 |
| Time migration | p. 55 |
| Summary | p. 60 |
| Exercises | p. 60 |
| Prestack migration | p. 62 |
| Prestack migration concepts | p. 62 |
| Prestack f-k migration in two dimensions | p. 63 |
| Prestack slant-stack migration in 2.5 dimensions | p. 73 |
| Prestack ray-theoretical migration | p. 75 |
| Prestack f-k migration in three dimensions | p. 80 |
| Prestack reverse-time migration | p. 86 |
| Exercises | p. 89 |
| Migration limitations | p. 90 |
| Perfect and imperfect migrations | p. 90 |
| Effects of finite bandwidth | p. 90 |
| Space-domain image amplitude renormalization | p. 102 |
| Effects of spatial sampling | p. 102 |
| Effects of maximum dip | p. 103 |
| Effects of finite spatial aperture | p. 103 |
| Extra and missing data | p. 113 |
| Effects of a finite time window | p. 114 |
| Undermigration and overmigration | p. 118 |
| Exercises | p. 121 |
| Models for wave propagation and reflection | p. 122 |
| The need for models | p. 122 |
| Wave equations | p. 123 |
| Building reflections | p. 128 |
| A scattering-theory model for reflection data | p. 131 |
| Exercises | p. 134 |
| Green's functions | p. 135 |
| The general Green's function | p. 135 |
| The scalar Green's function | p. 137 |
| The acoustic Green's function | p. 140 |
| The elastic Green's function | p. 142 |
| Local wavenumbers | p. 144 |
| Multipath Green's functions | p. 145 |
| Green's functions in a layered medium | p. 146 |
| Exercises | p. 154 |
| The scattering potential | p. 155 |
| The scattering potential as a function of angle | p. 155 |
| The scalar scattering potential | p. 157 |
| The acoustic scattering potential | p. 158 |
| The elastic scattering potential | p. 159 |
| Summary | p. 171 |
| Exercises | p. 172 |
| Reflectivity | p. 174 |
| Point reflectivity | p. 174 |
| A scalar reflectivity function | p. 176 |
| An acoustic reflectivity function | p. 179 |
| Elastic reflectivity functions | p. 181 |
| A general formula relating scattering potential and reflectivity | p. 186 |
| Summary of linearized reflectivity functions | p. 187 |
| Exercises | p. 189 |
| Synthesizing reflection data | p. 190 |
| The Born model for seismic reflections | p. 190 |
| A constant background | p. 190 |
| Restricted data sets | p. 197 |
| A depth-variable background | p. 207 |
| A generally variable background | p. 212 |
| Summary | p. 219 |
| Exercises | p. 222 |
| Frequency-wavenumber migration | p. 223 |
| Full constant-velocity migration | p. 223 |
| Partial f-k migration | p. 229 |
| Residual f-k migration | p. 233 |
| Migration in a depth-variable medium | p. 236 |
| Exercises | p. 248 |
| Asymptotic modeling and migration | p. 249 |
| Migration and modeling as mapping | p. 249 |
| Traveltime and depth functions | p. 250 |
| Single-valued modeling and migration | p. 252 |
| Relating the forward and inverse mappings | p. 255 |
| Constant-angle migration | p. 258 |
| Special cases | p. 263 |
| Exercises | p. 270 |
| Residual asymptotic migration | p. 271 |
| Combining modeling and migration | p. 271 |
| Transition zones | p. 276 |
| Exercises | p. 277 |
| Asymptotic data mapping and continuation | p. 278 |
| Combining forward and inverse migration | p. 278 |
| Constant-velocity depth extrapolation in 2-D | p. 280 |
| MZO and DMO | p. 285 |
| Exercises | p. 287 |
| Least-squares asymptotic migration | p. 289 |
| Direct versus least-squares inversion | p. 289 |
| Multipathing | p. 290 |
| The asymptotic modeling operator in three and two dimensions | p. 291 |
| Least-squares migration in 2.5-D | p. 292 |
| Three-dimensional common-angle least-squares migration | p. 297 |
| Exercises | p. 305 |
| Conventions and glossary of terms | p. 306 |
| Coordinates, vectors, and identities | p. 311 |
| Fourier and Radon transforms | p. 316 |
| Surface and pointwise reflectivity | p. 324 |
| Useful filters | p. 327 |
| The phase integral and the stationary phase approximation | p. 353 |
| The diffraction integral | p. 366 |
| Wave-based, ray-based, and reflector-based coordinates | p. 385 |
| References | p. 397 |
| Index | p. 401 |
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