Open AccessGravitational viscoelastic relaxation of eccentrically nested spheres
Author(s) -
Martinec Zdeněk,
Wolf Detlef
Publication year - 1999
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 - 10.1046/j.1365-246x.1999.00834.x
Subject(s) - viscoelasticity , spheres , relaxation (psychology) , finite element method , homogeneous , physics , gravitation , mechanics , classical mechanics , materials science , statistical physics , thermodynamics , astronomy , psychology , social psychology
We present a semi‐analytical solution to the 2‐D forward modelling of viscoelastic relaxation in a heterogeneous model consisting of eccentrically nested spheres. Several numerical methods for 2‐D and 3‐D viscoelastic relaxation modelling have been applied recently, including finite‐element and spectral‐finite‐difference schemes. The present semi‐analytical approach provides a model response against which more general numerical algorithms can be validated. The eccentrically nested sphere solution has been tested by comparing it with the analytical solutions for viscoelastic relaxation in a homogeneous sphere and in two concentrically nested spheres, and good agreement was obtained.