Depth Migration of Complex Surfaces with GOCAD:
Study of the Curvature of a Triangulated Surface
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The depth migration of time-migrated surfaces by demigration with
GOCAD is inaccurate in the case of complex surfaces, such as folded
horizons, in areas where the curvature of the surface reverses its
sign. I believe this problem can be avoided by cutting the original
complex surface into pieces for which the depth migration is accurate.
To do so, I propose an algorithm to study the sign of the curvature
of the GOCAD surface in order to divide it up properly before
performing the depth migration. Putting the depth-migrated pieces
back together, I should then obtain a depth-migrated surface more
representative of the true geology than the direct depth-migrated
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