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# Devito Skew Self Adjoint modeling operators

## These operators are contributed by Chevron Energy Technology Company (2020)

These operators are based on simplfications of the systems presented in:
<br>**Self-adjoint, energy-conserving second-order pseudoacoustic systems for VTI and TTI media for reverse time migration and full-waveform inversion** (2016)
<br>Kenneth Bube, John Washbourne, Raymond Ergas, and Tamas Nemeth
<br>SEG Technical Program Expanded Abstracts
<br>https://library.seg.org/doi/10.1190/segam2016-13878451.1

## Tutorial goal

The goal of this series of tutorials is to generate -- and then test for correctness -- the modeling and inversion capability in Devito for variable density visco- acoustics. We use an energy conserving form of the wave equation that is *skew self adjoint*, which allows the same modeling system to be used for all for all phases of finite difference evolution required for quasi-Newton optimization:
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[ssa_22_tti_implementation2.ipynb]: ssa_22_tti_implementation2.ipynb
[ssa_23_tti_correctness.ipynb]: ssa_23_tti_correctness.ipynb

## These operators are contributed by Chevron Energy Technology Company (2020)

These operators are based on simplfications of the systems presented in:
<br>**Self-adjoint, energy-conserving second-order pseudoacoustic systems for VTI and TTI media for reverse time migration and full-waveform inversion** (2016)
<br>Kenneth Bube, John Washbourne, Raymond Ergas, and Tamas Nemeth
<br>SEG Technical Program Expanded Abstracts
<br>https://library.seg.org/doi/10.1190/segam2016-13878451.1
## Running unit tests
- if you would like to see stdout when running the tests, use
```py.test -c testUtils.py```
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