Beside the complexities and not readily practical applications resulting from full Zoeppritz equation, seismic amplitude reflection does give enough information beyond critical angle. Consequently, there are breakdown of equation approximations at angle incidence (Shuey’s approximation). More so, validity is only for slight contrast in elastic parameters across formations small assumed. In an a...

Automatic target recognition that relies on rapid feature extraction of real-time target from photo-realistic imaging will enable efficient identification of target patterns. To achieve this objective, Cross-plots of binary patterns are explored as potential signatures for the observed target by high-speed capture of the crucial spatial features using minimal computational resources. Target rec...

avo as a known methodology is used to identify fluid type and reservoir lithology in subsurface exploration. method discussed in this paper, consists of three stages, including: direct modeling, inverse modeling and cross plot interpretation. by direct modeling we can clarify lithology or fluid dependent attributes. analysis performed using both p-p and p-sv attributes. inverse modeling deals w...

We adjust Arnoux’s coding, in terms of regular continued fractions, of the geodesic flow on the modular surface to give a cross section on which the return map is a double cover of the natural extension for the α-continued fractions, for each α ∈ (0, 1]. The argument applies in wide generality, as we illustrate with its application to the Rosen continued fractions and their recently introduced ...

In this paper we discuss a coding and the associated symbolic dynamics for the geodesic flow on Hecke triangle surfaces. We construct an explicit cross section for which the first return map factors through a simple (explicit) map given in terms of the generating map of a particular continued fraction expansion closely related to the Hecke triangle groups. We also obtain explicit expressions fo...

The snowflake plot is a scatter plot that displays relative timings of three neurons. It has had rather limited use since its introduction by Perkel, Gerstein, Smith, and Tatton (1975), in part because its triangular coordinates are unfamiliar and its theoretical properties are not well studied. In this letter, we study certain quantitative properties of this plot: we use projections to relate ...