Numerical Modeling of Seismic Wave Propagation 2

Prerequisite: Elective Course "Numerical Modeling of Seismic Waves" or basic knowledge of numerical modeling of seismic waves.

1. Introduction to Seismic Processing: seismic data, format (.segy and .su), conversion, basic tools of the Seismic Unix (SU) processing package; seismic processing steps, basic 2d processing with Seismic Unix;

2. Anisotropic media: characterization of acoustic and elastic media, homogeneous and heterogeneous media, isotropic and anisotropic, physical parameters (Thomsen parameters), Voigt notation; Equations for general elastic media and for transverse isotropic media: VTI and TTI, traditional pseudo-acoustic equations and equations for first principles;

3. Finite difference formulations: simple grid formulation, staggered-grid formulation, equivalent staggered-grid formulation, high order schemes;

4. Reverse time migration (RTM): migration with null off-set vs. with finite off-set, imaging conditions, computational implementation, application to synthetic data.

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Bibliography:

- David Forel, Thomas Benz, and Wayne D. Pennington, 2005, Seismic Data Processing with Seismic Un*x: A 2D Seismic Data Processing Primer, volume 12 of Course Notes Series. Society of Exploration Geophysicists, Tulsa.
- Stockwell, 2011, A Course in Geophysical Image Processing with Seismic Unix, notas de aula, 193 p.
- Helbig, 1994, Foundations of anisotropy for exploration seismics, Pergamon, 483 p.
- Tsvankin, 2001, SEISMIC SIGNATURES AND ANALYSIS OF REFLECTION DATA IN ANISOTROPIC MEDIA, Pergamon, 436 p.
- Ding, Chen e Zhang, 206, Elasticity of Transversely Isotropic Materials, Springer, 435 p.
- Virieux, 1986, P-SV wave propagation in heterogeneous media: Velocity-stress finite-difference method, Geophysics, SEG.
- Di Bartolo, Dors e Mansur, 2015, Theory of equivalent staggered-grid schemes: application to rotated and standard grids in anisotropic media, Geophysical Prospecting, EAGE.
- Di Bartolo, Dors e Mansur, 2017, High-order finite-difference approximations to solve pseudoacoustic equations in 3D VTI media, Geophysics. SEG.
- Faria e Stoffa, 1994, Finite-difference modeling in transversely isotropic media, Geophysics, SEG.
- Alkhalifah, 2000, An acoustic wave equation for anisotropic media, Geophysics, v. 65, SEG.
- Fowler, Du e Fletcher, 2010, Coupled equations for reverse time migration in transversely isotropic media, Geophysics, v. 75, SEG.
- Bancroft, 2007, A PRACTICAL UNDERSTANDING OF PRE- AND POSTSTACK MIGRATIONS, SEG.