Computational method for exact frequency-dependent rays on the basis of the solution of the Helmholtz equation

Computational method for exact frequency-dependent rays on the basis of the solution of the Helmholtz equation Full article

Journal

Geophysical Journal International
ISSN: 0956-540X , E-ISSN: 1365-246X

Output data

Year: 2017, Volume: 210, Number: 1, Pages: 525-533 Pages count : 9 DOI: 10.1093/gji/ggx188

Tags

Numerical approximations and analysis, Numerical solutions, Wave propagation

Authors

Protasov M. ^1,2 , Gadylshin K. ¹

Affiliations

1	Institute of Petroleum Geology and Geophysics, pr. Koptyug, 3, 630090 Novosibirsk, Russia. E-mail: protasovmi@ipgg.sbras.ru
2	Novosibirsk State University, 2, Pirogova St., 630090 Novosibirsk, Russia

A numerical method is proposed for the calculation of exact frequency-dependent rays when the solution of the Helmholtz equation is known. The properties of frequency-dependent rays are analysed and compared with classical ray theory and with the method of finite-difference modelling for the first time. In this paper, we study the dependence of these rays on the frequency of signals and show the convergence of the exact rays to the classical rays with increasing frequency. A number of numerical experiments demonstrate the distinctive features of exact frequency-dependent rays, in particular, their ability to penetrate into shadow zones that are impenetrable for classical rays.

Protasov M. , Gadylshin K.
Computational method for exact frequency-dependent rays on the basis of the solution of the Helmholtz equation
Geophysical Journal International. 2017. V.210. N1. P.525-533. DOI: 10.1093/gji/ggx188 WOS Scopus РИНЦ OpenAlex

Submitted:	Dec 26, 2016
Accepted:	May 5, 2017
Published print:	Sep 12, 2018
Published online:	Sep 12, 2018

≡ Web of science:	WOS:000409281300039
≡ Scopus:	2-s2.0-85037160051
≡ Elibrary:	35516045
≡ OpenAlex:	W2610859820