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Depth extrapolation is performed using the equation,
The square root in equation 1 can be approximated by a truncated
series expansion. e.g.
| |
(2) |

Explicit schemes are very simple to implement. On a regular grid the Laplacian
operator can be implemented as a convolutional operator. This is very
efficient on a mesh connected multiprocessor such as the Connection Machine.
The problem with explicit schemes is that, in general, they are unstable.
Hale (1990) has demonstrated that unconditionally stable explicit operators
can be created; however, these operators tend to be long so the
convolution is expensive.

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** Up:** DOWNWARD CONTINUATION IN THREE
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Stanford Exploration Project

12/18/1997