Elastic properties of garnet solid-solution series

Details Elastic properties of garnet solid-solution series Elastic properties of garnet solid-solution series

Mar 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978pepi...16..157b&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 16, Issue 2, p. 157-176.

Physics

27

Scientific paper

The elastic constants of sixteen garnet specimens of wide variety in chemical composition are accurately determined by means of the rectangular parallelpiped resonance method. The dependence of the elastic properties on chemical composition is analyzed using the present data and those for seven garnets investigated by other authors. The property Xi of a garnet solid solution i is given by a linear addition law in terms of the mole fraction nij of component j; Xi = ΣnijXj where the Xj's are the properties of the end-members j (j = pyrope, almandine, spessartine, grossular and andradite). The Xj's are determined for density ρ, bulk modulus K, and shear moduli Cs = (C11 - C12)/2 and C44. No systematic deviation is observed from the linear addition law for the elastic moduli nor for other quantities such as the elastic wave velocities. The extrapolated elastic moduli (Mbar) of the end-members are: AlmandinePyropeSpessartineGrossularAndradite K1.779 +/- 0.0081.730 +/- 0.0091.742 +/- 0.0091.691 +/- 0.0081.379 +/- 0.017 Cs0.981 +/- 0.0040.925 +/- 0.0040.964 +/- 0.0041.106 +/- 0.0040.979 +/- 0.007 C440.958 +/- 0.0050.919 +/- 0.0050.937 +/- 0.0051.017 +/- 0.0060.827 +/- 0.010 The elasticity systematics such as Birch's, Anderson-Anderson's, and their modifications hold only approximately in a garnet solid solution. For example, Anderson-Anderson's relation on the constancy of the bulk modulus and molar volume product holds as a general trend, but it does not satisfy the data in the almandine-pyrope series. It is pointed out that the elastic properties of pyralspite (pyrope-almandine-spessartine) and of ugrandite (uvarovite-grossular-andradite) are markedly different. Based on the present data and the approximate elasticity systematics, an estimation of the elastic parameters of garnet in the upper mantle is given; νP ≅ 8.9 km/s and νS ≅ 5.0 km/s almandine-pyrope garnet in the uppermost mantle, and νP = ~8.9-9.0 km/s and νS ≅ 5.1 km/s for complex garnet in the deep upper mantle.

Affiliated with

Also associated with

No associations

Rating

Elastic properties of garnet solid-solution series does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Elastic properties of garnet solid-solution series, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Elastic properties of garnet solid-solution series will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1082916