Reciprocity and representation theorems for rotational seismology

Journal Article (2025)
Author(s)

C.P.A. Wapenaar (TU Delft - Applied Geophysics and Petrophysics)

Research Group
Applied Geophysics and Petrophysics
DOI related publication
https://doi.org/10.1093/gji/ggaf326
More Info
expand_more
Publication Year
2025
Language
English
Research Group
Applied Geophysics and Petrophysics
Issue number
1
Volume number
243
Pages (from-to)
1-4
Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Abstract

Recently, there has been an increasing interest in employing rotational motion measurements for seismic source inversion, structural imaging and ambient noise analysis. We derive reciprocity and representation theorems for rotational motion. The representations express the rotational motion inside an inhomogeneous anisotropic earth in terms of translational and rotational motion at the surface. The theorems contribute to the theoretical basis for rotational seismology methodology, such as determining the moment tensor of earthquake sources.