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The zero lag of the 2-D crosscorrelation of the source and the receiver wavefields in (*x*_{s},*t*) is the same as the zero lag of the 1-D crosscorrelation in the time domain with a stack across the shot position axis.
A simple example with matrices illustrates the concept. If we take the 2-D crosscorrelation of 2 matrices,
| |
(5) |

the zero lag coefficient is 25. If instead we crosscorrelate the columns,
| |
(6) |

| (7) |

take the zero lag, and stack over the rows, the result is also 25. This illustrates the relationship that exists between the 1-D and the 2D crosscorrelation.

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Stanford Exploration Project

7/8/2003