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An iterative fast sweeping method for the eikonal equation in 2D anisotropic media on unstructured triangular meshes

Zhang Qingyu, Ma Xiao and Nie Yufeng
An iterative fast sweeping method for the eikonal equation in 2D anisotropic media on unstructured triangular meshes
Geophysics (May 2021) 86 (3): U49-U61

Abstract

Computation of traveltimes and raypaths is important for anisotropic tomography inversions. The eikonal-equation-based method outperforms traditional ray methods by producing more accurate results. However, most existing eikonal solvers are formulated on structured regular meshes, which are no longer accurate for models with the presence of irregular topography and subsurface interfaces. To solve the eikonal equation in vertically transversely isotropic (VTI) or tilted transversely isotropic (TTI) models with irregular geometry, we have formulated a new iterative fast sweeping method (FSM) on unstructured triangular meshes. The fixed-point iteration is implemented to capture the high-order nonlinear terms therein, and an FSM on unstructured triangular meshes is implemented to solve the resulting elliptically anisotropic eikonal equation at every iteration. We test the new algorithm for direct arrivals and reflected arrivals, and then we use the calculated traveltimes to track the raypath in VTI/TTI media. Numerical tests demonstrate the validity and accuracy of the new method for models with rough topography and subsurface interface.


ISSN: 0016-8033
EISSN: 1942-2156
Coden: GPYSA7
Serial Title: Geophysics
Serial Volume: 86
Serial Issue: 3
Title: An iterative fast sweeping method for the eikonal equation in 2D anisotropic media on unstructured triangular meshes
Affiliation: Northwestern Polytechnical University, School of Mathematics and Statistics, Xi'an, China
Pages: U49-U61
Published: 202105
Text Language: English
Publisher: Society of Exploration Geophysicists, Tulsa, OK, United States
References: 43
Accession Number: 2021-075506
Categories: Applied geophysics
Document Type: Serial
Bibliographic Level: Analytic
Annotation: Includes appendices
Illustration Description: illus. incl. 1 table
Country of Publication: United States
Secondary Affiliation: GeoRef, Copyright 2021, American Geosciences Institute. Reference includes data from GeoScienceWorld, Alexandria, VA, United States. Reference includes data supplied by Society of Exploration Geophysicists, Tulsa, OK, United States
Update Code: 202152
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