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INTRODUCTION

I became aware of Hans Tieman`s curious method of transforming slant stacks of midpoint gathers into slant stacks of common shot gathers in January of 1996 during a presentation he gave to SEP. Inspiration to write this paper also comes from William Harlan and Jon Claerbout who expressed interest in Tieman`s work. Harlan and Claerbout presented a derivation of the Tieman transform equations during an SEP seminar soon after Tieman`s visitHarlan and Claerbout (1996). Tieman's transformation holds promise in providing an accurate method of evaluating dips in shot gathers with out having to apply slant stack transforms directly in the shot gathers themselves. A method such as this, that can accurately evaluate dips in shot gathers can be useful in plane wave decomposition which ultimately can be useful for downward continuation and migration. In this paper I use synthetic data to examine the contrast between direct application of slant stacks to shot gathers vs. the application of Tiemen's method of transforming slant stacks of cmp's to slant stacks of shot gathers. Tieman's method shows improvement over the direct application of slant stacks to shot gathers for synthetic data that is coarsely sampled along the offset axis.


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Next: PLANE WAVES & SNELL Up: Holden: Tieman & synthetic Previous: Holden: Tieman & synthetic
Stanford Exploration Project
11/12/1997