Radiation boundary conditions for acoustic and elastic wave calculations
Abstract
A technique for developing radiating boundary conditions for artificial computational boundaries is described and applied to a class of problems typical in exploration seismology involving acoustic and elastic wave equations. First, one considers a constant coefficient scalar wave equation where the artificial boundary is one edge of a rectangular domain. By using continued fraction expansions, a systematic sequence of stable highly absorbing boundary conditions with successively better absorbing properties as the order of the boundary conditions increases is obtained. There follows a systematic derivation of a hierarchy of local radiating boundary conditions for the elastic wave equation. A theoretical procedure to guarantee stability at corners of the rectangular domain is worked out. A technique for fitting the discrete radiating boundary conditions directly to the difference scheme itself is proposed.
 Publication:

Communications on Pure and Applied Mathematics
 Pub Date:
 May 1979
 Bibcode:
 1979CPApM..32..313E
 Keywords:

 Acoustic Propagation;
 Boundary Conditions;
 Boundary Value Problems;
 Elastic Waves;
 Radiative Transfer;
 Sound Waves;
 Computer Techniques;
 Error Analysis;
 Far Fields;
 Seismology;
 Physics (General)