Approximation of seismic velocities from the spectrum of weighted graphs

Research output: Contribution to journalArticlepeer-review


Extracting seismic velocities from recorded seismic data requires converting the shot gathers to mid-point gathers, calculating the velocity spectrum, and picking the velocity values. In this paper, we propose to use graph theory to extract the seismic velocity values directly from the mid-point gathers. We use spectral data of a weighted graph model for approximating the seismic velocity. We develop a regression model to predict the seismic velocity from the largest eigenvalue of the graph representing the physical system. The approach is tested on a synthetic seismic data that represent a typical near-surface geological situation. The method was able to predict the seismic velocity of the second layer with 99.4% accuracy.

Original languageEnglish
Article number5
JournalGEM - International Journal on Geomathematics
Issue number1
StatePublished - Dec 2023

Bibliographical note

Funding Information:
The authors appreciate funding of this research by the College of Petroleum Engineering and Geosciences in King Fahd University of Petroleum and Minerals through start-up grant number SF 18060.

Publisher Copyright:
© 2023, The Author(s).


  • Graph spectral radius
  • Seismic migration
  • Seismic velocity
  • Weighted graph

ASJC Scopus subject areas

  • Modeling and Simulation
  • Earth and Planetary Sciences (all)


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