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Estimation of interval parameters

Similarly to effective parameters, interval parameters can also be regarded as data attributes obtained from local slopes. Unlike the $ t$ -$ X$   domain, the $ \tau $ -$ p$  domain offers us several alternatives to conventional Dix (1955) processing for retrieving interval values. In this section, we analyze three different options for extracting interval parameters in the $ \tau $ -$ p$  domain.

$ \tau _{0}$ $ R$ $ Q$ $ R_{\tau}$ $ Q_{\tau}$ $ \tau_{0,\tau}$
Effective $ V_N$ $ V_H$ $ \eta $ 51 51 51
Dix 51 51 51 51 51
Stripping 51 51 51
Fowler 51 51 51

Table 1. This table lists the inputs required to retrieve both effective and interval VTI parameters as data attributes obtained from local slopes. The zero-slope time $ \tau _0$ function is always required to map the attributes to their correct position in time. Processing data in $ \tau $ -$ p$  domain offers two more alternatives than conventional Dix's processing in $ t$ -$ X$  domain. Moreover, we observe that Fowler's is the only set of equations that does not require an explicit use of the curvature.


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Next: Dix Inversion Up: Casasanta & Fomel: Velocity-independent Previous: Synthetic example of effective-parameter

2011-06-25