静粘性係数, 内部摩擦および弾性定数の温度変化とそれらの間の関係についての実験式の提案

抄録

The static viscosity η, the internal friction Q^-1, and the elastic wave velocities V_p and V_s in resin sample are measured from 10°C to the temperature close to its softening point, 50°C. The result shows that the change of η and Q with temperature can not be explained by a single thermally activated process, as the activation energy increasing with temperature. The shear wave velocity decreases with increasing temperature in a similar manner to the variations of log η and log Q. From the data obtained, the following empirical relations are derived:
logQ=AV_s+B logQ=Clogη+D logη=EV_s+F where A, B, …, and F are constants. Therefore, the temperature variations of these properties are interrelated.
Although the material composing the earth's interior is quite different from the resin used in the present experiment, similar empirical relation appear to be valid in the earth's mantle, too. From the available data on informations of mechanical property of the earth's mantle, following constants were obtained; A=0.42, B=0.17, C=0.26, D=-3.6, E=1.6, and F=14.5 when V_s and η are represented by km/sec and poise. The distributions of Q and η in the mantle are estimated using these empirical relations and the observed distribution of shear wave velocity.