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Migration Velocity Analysis Using a Ray Method Asymptotics of the Double Square Root Equation. / Shilov, N. N.; Duchkov, A. A.

In: Journal of Applied and Industrial Mathematics, Vol. 18, No. 1, 13, 03.2024, p. 150-166.

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

Harvard

Shilov, NN & Duchkov, AA 2024, 'Migration Velocity Analysis Using a Ray Method Asymptotics of the Double Square Root Equation', Journal of Applied and Industrial Mathematics, vol. 18, no. 1, 13, pp. 150-166. https://doi.org/10.1134/S1990478924010137

APA

Shilov, N. N., & Duchkov, A. A. (2024). Migration Velocity Analysis Using a Ray Method Asymptotics of the Double Square Root Equation. Journal of Applied and Industrial Mathematics, 18(1), 150-166. [13]. https://doi.org/10.1134/S1990478924010137

Vancouver

Shilov NN, Duchkov AA. Migration Velocity Analysis Using a Ray Method Asymptotics of the Double Square Root Equation. Journal of Applied and Industrial Mathematics. 2024 Mar;18(1):150-166. 13. doi: 10.1134/S1990478924010137

Author

Shilov, N. N. ; Duchkov, A. A. / Migration Velocity Analysis Using a Ray Method Asymptotics of the Double Square Root Equation. In: Journal of Applied and Industrial Mathematics. 2024 ; Vol. 18, No. 1. pp. 150-166.

BibTeX

@article{da6e5044185247ae96ff80158920acb4,
title = "Migration Velocity Analysis Using a Ray Method Asymptotics of the Double Square Root Equation",
abstract = "Seismic images of subsurface structures are the most valuable outcome of seismic dataprocessing. The image quality is strongly affected by the accuracy of background velocity model.In this paper, we develop a gradient-descent velocity update algorithm based on our originalhigh-frequency asymptotics of the Double Square Root equation, i.e., a special one-wayapproximation of the wave equation describing single-scattered wave field only. We propose a lossfunction consistent with widely adopted imaging condition and derive equations for its gradientcomputation. We test our method on noise-free synthetic datasets in 2D settings.",
keywords = "double square root equation, perturbation theory, ray method, seismic inverse problem, velocity analysis",
author = "Shilov, {N. N.} and Duchkov, {A. A.}",
note = "The research was carried out within the framework of state assignments nos. FSUS-2022-0019 and FWZZ-2022-0017.",
year = "2024",
month = mar,
doi = "10.1134/S1990478924010137",
language = "English",
volume = "18",
pages = "150--166",
journal = "Journal of Applied and Industrial Mathematics",
issn = "1990-4789",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Migration Velocity Analysis Using a Ray Method Asymptotics of the Double Square Root Equation

AU - Shilov, N. N.

AU - Duchkov, A. A.

N1 - The research was carried out within the framework of state assignments nos. FSUS-2022-0019 and FWZZ-2022-0017.

PY - 2024/3

Y1 - 2024/3

N2 - Seismic images of subsurface structures are the most valuable outcome of seismic dataprocessing. The image quality is strongly affected by the accuracy of background velocity model.In this paper, we develop a gradient-descent velocity update algorithm based on our originalhigh-frequency asymptotics of the Double Square Root equation, i.e., a special one-wayapproximation of the wave equation describing single-scattered wave field only. We propose a lossfunction consistent with widely adopted imaging condition and derive equations for its gradientcomputation. We test our method on noise-free synthetic datasets in 2D settings.

AB - Seismic images of subsurface structures are the most valuable outcome of seismic dataprocessing. The image quality is strongly affected by the accuracy of background velocity model.In this paper, we develop a gradient-descent velocity update algorithm based on our originalhigh-frequency asymptotics of the Double Square Root equation, i.e., a special one-wayapproximation of the wave equation describing single-scattered wave field only. We propose a lossfunction consistent with widely adopted imaging condition and derive equations for its gradientcomputation. We test our method on noise-free synthetic datasets in 2D settings.

KW - double square root equation

KW - perturbation theory

KW - ray method

KW - seismic inverse problem

KW - velocity analysis

UR - https://www.mendeley.com/catalogue/2a6c8d1a-823c-3057-8763-44946f7b21d3/

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85191374789&origin=inward&txGid=5e5c9469d8ae87f5dec88e6a6bf1a629

UR - https://elibrary.ru/item.asp?id=67311804

U2 - 10.1134/S1990478924010137

DO - 10.1134/S1990478924010137

M3 - Article

VL - 18

SP - 150

EP - 166

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 1

M1 - 13

ER -

ID: 60747206