|Stratigraphic coordinates, a coordinate system tailored to seismic interpretation|
In summary, our algorithm for transferring seismic images from the regular Cartesian coordinate system into the stratigraphic coordinate system consists of the following steps:
1. Extract the first axis of the stratigraphic coordinate system from seismic image by predictive painting;
2. Start with at as an initial value and solve equation 1 with boundary condition 3 numerically for ;
3. Start with at as an initial value and solve equation 2 with boundary condition 4 numerically for .
We solve equations 1 and 2 numerically with an explicit upwind finite-difference scheme (Li and Fomel, 2013; Franklin and Harris, 2001).