Introduction

We describe an optimized Kirchhoff migration and modeling routine which handles the problem of operator aliasing. Slight modifications of this algorithm could be useful for velocity analysis, pre-stack migration and DMO.

Several Kirchhoff routines are presented in SEP73. The simplest routines Claerbout (1992b) are tutorial and do not address the problem of operator aliasing. A more elaborate routine which overcomes the aliasing problem Claerbout (1992a) proves to be slow.

We incorporate the best features of the fast program kirchfast() Claerbout (1992b) and the anti-aliasing program trimo() Claerbout (1992a) to make a fast anti-aliased Kirchhoff migration and modeling routine. Timing tests on the SPARCstation IPC show the new routine to be twelve times faster than trimo() and only three times slower than kirchfast().