DOI: https://doi.org/10.26089/NumMet.v26r321

Structure-oriented smoothing for wave propagation modelling by beam method with frequency dependence

Authors

  • Aleksandr D. Stein
  • Maksim I. Protasov

Keywords:

structure–oriented smoothing
frequency dependence
smoothing
Lomax smoothing
anisotropic diffusion
Fresnel zone
Gauss smoothing

Abstract

This paper considers an empirical method for obtaining a frequency-dependent velocity model using structure-oriented smoothing. Smoothing is performed depending on the source position, frequency, and time field. Three smoothing methods are implemented: smoothing along a locally flat wavefront, smoothing by anisotropic diffusion and volumetric smoothing in the Fresnel zone. Anisotropic diffusion smoothing time is compared with the frequency of the smoothing in the Fresnel zone. A comparison of smoothing methods is carried out, showing that volumetric smoothing in the Fresnel zone provides the most stable solution.


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Published

2025-09-09

Issue

Vol. 26 (2025): Issue 3.

Section

Methods and algorithms of computational mathematics and their applications

Authors

Aleksandr D. Stein

Trofimuk Institute of Petroleum Geology and Geophysics SB RAS
• Engineer

Maksim I. Protasov

Trofimuk Institute of Petroleum Geology and Geophysics SB RAS
• Head of the Laboratory

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