Open AccessInvariant expressions for elastic radiation from a fault with prescribed slip
Author(s) -
Frazer L. Neil
Publication year - 1982
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1982.tb04979.x
Subject(s) - curvilinear coordinates , cartesian coordinate system , invariant (physics) , orthogonal coordinates , coordinate system , slip (aerodynamics) , mathematical analysis , moment tensor , geometry , physics , mathematics , classical mechanics , mathematical physics , magnitude (astronomy) , astronomy , thermodynamics
Summary New formulae are obtained for the displacement potentials and displacements due to a point source with moment tensor, and for a fault with prescribed slip. These formulae, unlike previous formulae, are invariant, i.e. they are valid in any coordinate system, not just Cartesian coordinates or orthogonal curvilinear coordinates. Apart from their invariance, these formulae have other advantages: they are exceedingly simple; the expressions for P ‐motion are nearly the same as those for S ‐motion; and the separation of far field motion from final static displacement is automatic.