An evaluation of finite strain equations of state using a lattice model

Details An evaluation of finite strain equations of state using a lattice model An evaluation of finite strain equations of state using a lattice model

Jul 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980pepi...23...31b&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 23, Issue 1, p. 31-38.

Physics

Scientific paper

Analytic expressions have been derived for ρ/ρ0, Vp/Vb0 and Vs/Vb0 as functions of p/K0 for rigid ion models of the NaCl, CsCl and ZnS structures. In this dimensionless form, the only independent parameter in the lattice model is the repulsive parameter n (or equivalently K'0). Analytic first and second pressure derivatives of the bulk and shear moduli calculated from the lattice model were used as parameters in Murnaghan and Birch equations of state (EOS) of first and second order. Comparison between the various finite strain equations and the lattice model for the three crystal structures leads to the following general conclusions. (1) For each finite strain EOS, Vp is in better agreement with the lattice model than Vs; (2) the Birch EOS is in better agreement with the lattice model than is the Murnaghan EOS of comparable order; (3) no first-order EOS is capable of extrapolating Vs to p/K0 > 0.2 without deviating by more than 5% from the lattice model, and (4) the second-order Murnaghan EOS gives very little improvement over the first-order equations, while the second-order Birch EOS allows Vs to be extrapolated to p/K0 ~ 0.8 without deviating from the lattice model by more than 5%. For close-packed oxides and silicates this covers the pressure range throughout the lower mantle.

Affiliated with

Also associated with

No associations

Rating

An evaluation of finite strain equations of state using a lattice model 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 An evaluation of finite strain equations of state using a lattice model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An evaluation of finite strain equations of state using a lattice model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-804650