English

Wavefield reconstruction inversion modelling of Marchenko focusing functions

Geophysics 2022-10-27 v1

Abstract

Marchenko focusing functions are in their essence wavefields that satisfy the wave equation subject to a set of boundary, initial, and focusing conditions. Here, we show how Marchenko focusing functions can be modeled by finding the solution to a wavefield reconstruction inversion problem. Our solution yields all elements of the focusing function including evanescent, refracted, and trapped waves (tunneling). Our examples indicate that focusing function solutions in higher dimensions are however challenging to compute by numerical means due to the appearance of strong evanescent waves.

Keywords

Cite

@article{arxiv.2210.14570,
  title  = {Wavefield reconstruction inversion modelling of Marchenko focusing functions},
  author = {Ruhul F. Hajjaj and Sjoerd A. L. de Ridder and Philip W. Livermore and Matteo Ravasi},
  journal= {arXiv preprint arXiv:2210.14570},
  year   = {2022}
}

Comments

This document constitutes a summary of results in the PhD Transfer Report of R.F. Hajjaj, successfully defended on October 19th, 2022

R2 v1 2026-06-28T04:32:19.121Z