Contents

• Introduction
  • Motivation and Overview
    • Multisource Crosstalk
    • Seismic Migration with a Stack of Encoded Shot Gathers
    • Resolution Limits of LSM and FWI
  • Technical Contributions
  
  
• Least-Squares Migration with Multisource Frequency Selection
  • Introduction
  • Theory
    • Phase Encoding
    • Frequency Selection Encoding
    • Eliminating Marine Acquisition Crosstalk
  • Method
    • Multisource Objective Function
    • Migration Method
  • Results
  • Conclusions
  
  
• Full Waveform Inversion with Multisource Frequency Selection on Marine Streamer Data
  • Introduction
  • Theory
  • Numerical Results
    • Synthetic Data
    • GOM Streamer Dataset
  • Conclusions
  
  
• Resolution Limits for Wave Equation Imaging
  • Introduction
    • Resolution Limits for Traveltime Tomography
    • Resolution Limits for Reflection Imaging
  • Born Forward and Adjoint Modeling
    • Born Forward Modeling
    • Born Adjoint Modeling
  • Model Resolution Function and FWI Resolution Limits
    • Model Resolution Equation:  ${\bf {m}}^{\textrm {mig}} ={\bf L}^{\dagger } {\bf L} {\bf {m}}$
    • $\lambda$ Wavelength Imaging at the Diffractor
  • Filling in the Model Spectrum with Multiples
    • Lower Wavenumber Resolution with Prism Waves and Free-surface Multiples
    • Intermediate Wavenumber Resolution with Interbed Multiples
  • Discussion and Conclusions
  
  
• Concluding Remarks
  • Summary
  • Future Research Work
  
  
• The Effect of Frequency Division on the Hessian
• Prestack Split-Step Migration
• The Relative Computational Cost
• Migration versus successive steepest descent
• Resolution Properties of an Ellipse
• Resolution Limits for Imaging Diving Wave Residuals
• Determinant of Jacobian Matrix
• Publications Based on This Dissertation
• Bibliography