Eikonal hardware engine for anisotropic media

Author

Adderley, G. Michael, II ; Bording, R. Phillip

Author_Institution

Electr. & Comput. Eng. Dept., Univ. of Alabama in Huntsville, Huntsville, AL, USA

fYear

2011

fDate

17-20 March 2011

Firstpage

272

Lastpage

276

Abstract

The eikonal partial differential equation is solved using a modified level set algorithm which is then transformed into a proposed field programmable gate array implementation. The numerical method for isotropic material eikonal hardware engines is extended to angle dependent anisotropic media in two dimensions. This new method transforms the eigenvalue iteration into a process which executes in constant time, and the least squares solution has been reduced to a linear combination of pre-computed rank four vectors.

Keywords

anisotropic media; eigenvalues and eigenfunctions; field programmable gate arrays; geophysics computing; iterative methods; least squares approximations; partial differential equations; seismic waves; angle dependent anisotropic media; eigenvalue iteration; eikonal hardware engine; eikonal partial differential equation; field programmable gate array; least square solution; level set algorithm; numerical method; precomputed rank; Computational modeling; Engines; Equations; Hardware; Mathematical model; Media; Vectors; FPGA´s; anisotropic; eikonal equation; seismic; travel-times;

fLanguage

English

Publisher

ieee

Conference_Titel

Southeastcon, 2011 Proceedings of IEEE

Conference_Location

Nashville, TN

ISSN

1091-0050

Print_ISBN

978-1-61284-739-9

Type

conf

DOI

10.1109/SECON.2011.5752948

Filename

5752948