Elastic moduli, pressure derivatives, and temperature derivatives of single-crystal olivine and single-crystal forsterite

Abstract

Ultrasonic wave velocities in single-crystal forsteritc (F) and single-crystal olivine (0) have been measured as a function of pressure and of temperature near ambient conditions. Shear and longitudinal velocities were measured in eighteen independent modes, so that each of the nine elastic constants could be calculated by at least two independent equations. The adiabatic stiffness constants c{j (in Mb), their temperature derivatives dc,j/dT (10 -4 Mb/ deg), and their pressure derivatives dc{ffdP, are ij 11 22 33 44 55 66 23 31 12 Cii (F) 3.284 1.998 2.353 0.6515 0.8120 0.8088 0.738 0.688 0.639 (O) 3.237 1.976 2.351 0.6462 0.7805 0.7904 0.756 0.716 0.664 2Now at: by Verma [1960], who presented the secondorder elastic constants of a single crystal. A few reports have been made on the isotropic elastic constants of polycrystalline aggregates of forsteritc made by hot-pressing ([Schreiber and Anderson, 1967] and Marsh (personal communication, 1969) ). Our purpose here is to present our measured values of the elastic constants, their pressure derivatives at room temperature, and their temperature derivatives at i atm; to describe the methods of measurements on a crystal of orthorhombic symmetry; and to list a number of physical constants derived from the basic data.The technique used to measure sound velocity is known as the pulse superposition technique [McSkimin, 1961], and has been 5961 5962

Simulation of screw dislocations in wadsleyite

“…(Wolf et al, 1999), are truncated at a radius of 16.0Å and damped using an η parameter of 0.2Å −1 . Sawamoto et al (1984), Ahrens (1995, Kumazawa and Anderson (1969), and Zha et al (1997). "Previous model" refers to model of Sanders et al (1984) and Lewis and Catlow (1985) …”

P wave velocity tomography of the Venezuelan region from local arrival times

“…This method produces a better qualified solution than the row-action methods [Censor, 1981] such as ART (algebraic reconstruction technique) or SIRT (simultaneous iterative reconstruction technique) or the iterative matrix solvers [Nolet, 1993] In the mantle, temperature seems to be the physical parameter with major influence on lateral variations of the seismic velocities. Low-velocity zones will correspond to hightemperature zones, as the two variables are anticorrelated in laboratory measurements [Kumazawa and Anderson, 1969 …”

Anisotropy and the structural evolution of the oceanic upper mantle

“…This will be done in a later paper. An additional complication is introduced by the possibility that each of the elastic parameters of olivine may have different pressure and temperature coefficients (Kumazawa and Anderson, 1969).…”