Open AccessSeismic source representation in orthogonal functions
Author(s) -
Vasco D. W.
Publication year - 1990
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.1990.tb04579.x
Subject(s) - mathematics , orthogonal basis , basis (linear algebra) , mathematical analysis , moment tensor , basis function , series expansion , symmetric tensor , inversion (geology) , earth structure , tensor (intrinsic definition) , geometry , geology , physics , seismology , exact solutions in general relativity , magnitude (astronomy) , quantum mechanics , astronomy , tectonics
SUMMARY The moment tensor density is expanded in a series of orthogonal basis functions. The expansion coefficients represent integrated averages of the moment tensor density, a symmetric tensor of rank 2. A wide range of sources may be represented in this manner, from variable slip over a curved fault surface to the conventional point source expansion in moments. With this general formulation it is simple to change basis functions and to derive expressions for waveform inversion. Higher order terms in the expansion may be determined by a stable numerical integration over the basis elements.