Monoscale analysis of edges/reflectors using fractional differentiations/integrations
Journal
1999 SEG Annual Meeting
Date Issued
1999-01-01
Author(s)
Herrmann, Felix
Abstract
Edges in the medium are the primary source of coherent reflections because they exhibit a large or even div erging amplitude beha vior for their derivatives. Generally the medium properties are assumed to jump across an interface limiting the edge's singular behavior to that of a jump discon tinuity. Multiscale analysis on well-data shows that the model of a jump discon tinuityis too limited to account for the scaling behavior displayed by these types of data sets across the seismic scale range. This observ ation coined the generalization of the jump to a wider class of scale exponent indexed transitions of which the jump is a specialcase. Unfortunately, the scale content of the seismic signal is small and maks it difficult to obtain estimates for the scaling exponents, characterizing the different types of transitions via their induced reflectivity. In this paper a novel method is presented, using fractional differentiations/integrations to estimate the scale exponents at a fixed scale. These scale exponents not only capture the local scaling characteristics but are also related to the local frequency behavior of the reflections. In this capacity they constitute local stratigraphical texture parameterizations. Texture is relevant for the underlying geology as well as for the fluid flow characteristics of the reservoir rock.
Type
conference paper