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Comment on “Improved inversion for seismic structure using transformed, S ‐wavevector receiver functions: Removing the effect of the free surface” by Anya Reading, Brian Kennett, and Malcolm Sambridge
Author(s) -
Svenningsen Lasse,
Jacobsen Bo Holm
Publication year - 2004
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/2004gl021413
Subject(s) - slowness , rotation matrix , transformation (genetics) , coordinate system , leakage (economics) , rotation (mathematics) , inversion (geology) , skew , mathematics , mathematical analysis , physics , computer science , geology , geometry , seismology , chemistry , telecommunications , tectonics , biochemistry , macroeconomics , economics , gene
Reading et al. [2003] propose a transformation which takes the rectangular coordinate system ZRT to the ‘skew’ PSH system. The transformation isolates P ‐, SV ‐ and SH ‐waves of same slowness on the P‐, S‐ and H‐component, respectively, and removes the free surface effect. We have the following comments to their article: A) The transformation matrix in their paragraph has misprints propagated to the text in their Figure 1c. B) The LQT rotation [ Vinnik , 1977] has no leakage of P ‐displacement into the Q‐component, although a minor SV ‐leakage is present on the L‐component. C) The differences between PSH‐ and ZRT‐receiver functions are large, whereas the differences between PSH‐ and LQT‐receiver functions are very small in theory and hardly ever significant in practice.