Finite-difference solution of the eikonal equation along expanding wavefronts

Qin Fuhao Qin; Luo Yi Luo; K. B. Olsen; Cai Wenying Cai; G. T. Schuster

Finite-difference solution of the eikonal equation along expanding wavefronts

Qin Fuhao Qin, Luo Yi Luo, K. B. Olsen, Cai Wenying Cai, G. T. Schuster

Research output: Contribution to journal › Article › peer-review

Abstract

It is shown that a scheme to solve the 2-D eikonal equation by a finite-difference method can violate causality for moderate to large velocity contrasts (V₂/V₁ > √2). As an alternative, a finite-difference scheme is presented in which the solution region progresses outward from an "expanding wavefront' rather than an "expanding square', and therefore honors causality. Our method appears to be stable and reasonably accurate for a variety of velocity models with moderate to large velocity contrasts. The penalty is a large increase in computational cost and programming effort. -Authors

Original language	English (US)
Pages (from-to)	478-487
Number of pages	10
Journal	Geophysics
Volume	57
Issue number	3
State	Published - 1992
Externally published	Yes

ASJC Scopus subject areas

Geochemistry and Petrology

Cite this

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title = "Finite-difference solution of the eikonal equation along expanding wavefronts",

abstract = "It is shown that a scheme to solve the 2-D eikonal equation by a finite-difference method can violate causality for moderate to large velocity contrasts (V2/V1 > √2). As an alternative, a finite-difference scheme is presented in which the solution region progresses outward from an {"}expanding wavefront' rather than an {"}expanding square', and therefore honors causality. Our method appears to be stable and reasonably accurate for a variety of velocity models with moderate to large velocity contrasts. The penalty is a large increase in computational cost and programming effort. -Authors",

author = "{Fuhao Qin}, Qin and {Yi Luo}, Luo and Olsen, {K. B.} and {Wenying Cai}, Cai and Schuster, {G. T.}",

year = "1992",

language = "English (US)",

volume = "57",

pages = "478--487",

journal = "Geophysics",

issn = "0016-8033",

publisher = "Society of Exploration Geophysicists",

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T1 - Finite-difference solution of the eikonal equation along expanding wavefronts

AU - Fuhao Qin, Qin

AU - Yi Luo, Luo

AU - Olsen, K. B.

AU - Wenying Cai, Cai

AU - Schuster, G. T.

PY - 1992

Y1 - 1992

N2 - It is shown that a scheme to solve the 2-D eikonal equation by a finite-difference method can violate causality for moderate to large velocity contrasts (V2/V1 > √2). As an alternative, a finite-difference scheme is presented in which the solution region progresses outward from an "expanding wavefront' rather than an "expanding square', and therefore honors causality. Our method appears to be stable and reasonably accurate for a variety of velocity models with moderate to large velocity contrasts. The penalty is a large increase in computational cost and programming effort. -Authors

AB - It is shown that a scheme to solve the 2-D eikonal equation by a finite-difference method can violate causality for moderate to large velocity contrasts (V2/V1 > √2). As an alternative, a finite-difference scheme is presented in which the solution region progresses outward from an "expanding wavefront' rather than an "expanding square', and therefore honors causality. Our method appears to be stable and reasonably accurate for a variety of velocity models with moderate to large velocity contrasts. The penalty is a large increase in computational cost and programming effort. -Authors

UR - http://www.scopus.com/inward/record.url?scp=0026839249&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0026839249

SN - 0016-8033

VL - 57

SP - 478

EP - 487

JO - Geophysics

JF - Geophysics

IS - 3

ER -

Finite-difference solution of the eikonal equation along expanding wavefronts

Abstract

ASJC Scopus subject areas

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