Imaging, modeling and assimilation in seismology

Content: Imaging, Modeling and Assimilation in Seismology: An Overview
 References
 Chapter 1 Full-Wave Seismic Data Assimilation: A Unified Methodology for Seismic Waveform Inversion
 1.1 Introduction
 1.2 Generalized Inverse
 1.2.1 Prior Probability Densities
 1.2.2 Bayes' Theorem
 1.2.3 Euler-Lagrange Equations
 1.3 Data Functionals
 1.3.1 Differential Waveforms
 1.3.2 Cross-correlation Measurements
 1.3.3 Generalized Seismological Data Functionals (GSDF)
 1.4 The Adjoint Method
 1.4.1 An Example of Adjoint Travel-Time Tomography
 1.4.2 Review of Some Recent Adjoint Waveform Tomography. 1.5 The Scattering-Integral (SI) Method1.5.1 Full-Wave Tomography Based on SI
 1.5.2 Earthquake Source Parameter Inversion Based on SI
 1.6 Discussion
 1.6.1 Computational Challenges
 1.6.2 Nonlinearity
 1.7 Summary
 References
 Chapter 2 One-Return Propagators and the Applications in Modeling and Imaging
 2.1 Introduction
 2.2 Primary-Only Modeling and One-Return Approximation
 2.3 Elastic One-Return Modeling
 2.3.1 Local Born Approximation
 2.3.2 The Thin Slab Approximation
 2.3.3 Small-Angle Approximation and the Screen Propagator
 2.3.4 Numerical Implementation. 2.3.5 Elastic, Acoustic and Scalar Cases2.4 Applications of One-Return Propagators in Modeling, Imaging and Inversion
 2.4.1 Applications to Modeling
 2.4.2 One-Return Propagators Used in Migration Imaging
 2.4.3 Calculate Finite-Frequency Sensitivity Kernels Used in Velocity Inversion
 2.5 Other Development of One-Return Modeling
 2.5.1 Super-Wide Angle One-Way Propagator
 2.5.2 One-Way Boundary Element Method
 2.6 Conclusion
 References
 Chapter 3 Fault-Zone Trapped Waves: High-Resolution Characterization of the Damage Zone of the Parkfield San Andreas Fault at Depth
 3.1 Introduction. 3.2 Fault-Zone Trapped Waves at the SAFOD Site3.2.1 The SAFOD Surface Array
 3.2.2 The SAFOD Borehole Seismographs
 3.2.3 Finite-Difference Simulation of Fault-Zone Trapped Waves at SAFOD Site
 3.3 Fault-Zone Trapped Waves at the Surface Array near Parkfield Town
 3.4 Conclusion and Discussion
 Acknowledgements
 References
 Appendix: Modeling Fault-Zone Trapped SH-Love Waves
 Chapter 4 Fault-Zone Trapped Waves at a Dip Fault: Documentation of Rock Damage on the Thrusting Longmen-Shan Fault Ruptured in the 2008 M8 Wenchuan Earthquake
 4.1 Geological Setting and Scientific Significance. 4.2 Data and Results4.2.1 Data Collection
 4.2.2 Examples of Waveform Data
 4.3 3-D Finite-Difference Investigations of Trapping Efficiency at the Dipping Fault
 4.3.1 Effect of Fault-Zone Dip Angle
 4.3.2 Effect of Epicentral Distance
 4.3.3 Effect of Source Depth
 4.3.4 Effect of Source away from Vertical and Dip Fault Zones
 4.3.5 Effect of Fault-Zone Width and Velocity Reduction
 4.4 3-D Finite-Difference Simulations of FZTWs at the South Longmen-Shan Fault
 4.5 Fault Rock Co-Seismic Damage and Post-Mainshock Heal
 4.6 Conclusion and Discussion
 Acknowledgements
 References
 Appendix.