Journal
GEOPHYSICAL JOURNAL INTERNATIONAL
Volume 205, Issue 1, Pages 575-593Publisher
OXFORD UNIV PRESS
DOI: 10.1093/gji/ggw032
Keywords
Numerical Solutions; Seismic tomography; Theoretical seismology
Categories
Funding
- NERC PhD studentship
- Natural Environment Research Council [1508942] Funding Source: researchfish
Ask authors/readers for more resources
The motion of a self-gravitating hyperelastic body is described through a time-dependent mapping from a reference body into physical space, and its material properties are determined by a referential density and strain-energy function defined relative to the reference body. Points within the reference body do not have a direct physical meaning, but instead act as particle labels that could be assigned in different ways. We use Hamilton's principle to determine how the referential density and strain-energy functions transform when the particle labels are changed, and describe an associated 'particle relabelling symmetry'. We apply these results to linearized elastic wave propagation and discuss their implications for seismological inverse problems. In particular, we show that the effects of boundary topography on elastic wave propagation can be mapped exactly into volumetric heterogeneity while preserving the form of the equations of motion. Several numerical calculations are presented to illustrate our results.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available