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Title: Finite Strain Analysis of Shear and Compressional Wave Velocities

Journal Article · · Journal of Geophysical Research. Solid Earth
ORCiD logo [1]; ORCiD logo [1]
  1. Univ. of California, Berkeley, CA (United States)
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Published shear-modulus measurements for a wide variety of materials (Ar, Xe, H2, He, NaCl, H2O-VII, MgO, stishovite, bridgmanite) show that the Eulerian (spatial) description of energy vs. strain fits both finite- and infinitesimal-strain (e.g., wave velocity) elasticity data under high pressure. The Eulerian (spatial) formulations do so better than the Lagrangian (material) finite-strain description, with differences of 1% to 60% in both P- and S -wave velocities for these materials at the pressures of Earth's mantle. The findings are significant in extending to shear previous findings that compressional (pressure-volume and bulk-modulus) measurements are also best fit using the spatial formulation. Our assessment empirically documents that a self-consistent Eulerian finite-strain equation of state offers a reliable means of describing the thermodynamic and elastic properties of planetary interiors.

Research Organization:
Univ. of California, San Diego, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0003842
OSTI ID:
1633877
Alternate ID(s):
OSTI ID: 1580618
Journal Information:
Journal of Geophysical Research. Solid Earth, Vol. 124, Issue 11; ISSN 2169-9313
Publisher:
American Geophysical UnionCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

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Figures / Tables (22)

Figure 1(p. 2)figure Figure 1
Table 1(p. 5)table Table 1
Table 2(p. 6)table Table 2
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Table 4(p. 8)table Table 4
Table 5(p. 9)table Table 5
Figure 2(p. 10)figure Figure 2
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Figure 14(p. 22)figure Figure 14
Figure 15(p. 23)figure Figure 15
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Table 6(p. 25)table Table 6

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