Analytic generalized inverse for transmission + reflection tomography

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Abstract

This short note presents a 1D analytic generalized inverse for VSP transmission + reflection tomography. Its validity is restricted to evenly layered media and negligible ray bending. The significance of the result is that the reliability estimate of slowness for 1D VSP tomography can be analyzed analytically, rather than by empirical guesswork. This can lead to the design of optimal tomography algorithms and field experiments. For example, Salo and Schuster (1989) observed empirically that reflection + transmission VSP data provided a better velocity reconstruction than do transmission VSP data alone. However, the underlying reason for this improvement was not clearly identified. This short note gives an unambiguous explanation. -Author

Original languageEnglish (US)
Pages (from-to)1046-1049
Number of pages4
JournalGeophysics
Volume54
Issue number8
StatePublished - 1989
Externally publishedYes

ASJC Scopus subject areas

  • Geochemistry and Petrology

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