Numerical modeling of Gaussian beam propagation and diffraction in inhomogeneous media based on the complex eikonal equation

Huang, X.; Sun, H.

doi:10.1007/s11600-018-0154-x

Artykuł - szczegóły

Tytuł artykułu

Numerical modeling of Gaussian beam propagation and diffraction in inhomogeneous media based on the complex eikonal equation

Autorzy

Huang X. , Sun H.

Wybrane pełne teksty z tego czasopisma

https://www.springer.com/journal/11600

Identyfikatory

DOI

10.1007/s11600-018-0154-x

Warianty tytułu

Języki publikacji

Abstrakty

Gaussian beam is an important complex geometrical optical technology for modeling seismic wave propagation and diffraction in the subsurface with complex geological structure. Current methods for Gaussian beam modeling rely on the dynamic ray tracing and the evanescent wave tracking. However, the dynamic ray tracing method is based on the paraxial ray approximation and the evanescent wave tracking method cannot describe strongly evanescent fields. This leads to inaccuracy of the computed wave fields in the region with a strong inhomogeneous medium. To address this problem, we compute Gaussian beam wave fields using the complex phase by directly solving the complex eikonal equation. In this method, the fast marching method, which is widely used for phase calculation, is combined with Gauss–Newton optimization algorithm to obtain the complex phase at the regular grid points. The main theoretical challenge in combination of this method with Gaussian beam modeling is to address the irregular boundary near the curved central ray. To cope with this challenge, we present the non-uniform finite difference operator and a modified fast marching method. The numerical results confirm the proposed approach.

Słowa kluczowe

wave propagation finite difference method FMM gaussian beam modeling complex eikonal equation

propagacja fal metoda różnic skończonych FMM

Wydawca

Instytut Geofizyki PAN
Springer

Czasopismo

Acta Geophysica

Rocznik

2018

Tom

Vol. 66, no. 4

Strony

497--508

Opis fizyczny

Bibliogr. 53 poz.

Twórcy

autor

Huang X.

xingguo.huang19@gmail.com

Previously Institute of Geophysical and Geochemical Exploration (IGGE), Chinese Academy of Geological Sciences (CAGS), Langfang, China
Present Address: Department of Earth Science, University of Bergen, Bergen, Norway

autor

Sun H.

sunhui@swjtu.edu.cn

Faculty of Geosciences and Environmental Engineering, Southwest Jiaotong University, Chengdu 610031, China

Bibliografia

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Bibliografia

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