Abstract
It is well known that granite has orthorhombic elasticity caused by the orientation distribution of the pre-existing microcracks. Measurements of P and S-wave velocities propagating in various directions are indispensable to determine these elastic constants, because the orthorhombic material has nine independent elastic constants.In this study, a new method to determine the elastic constants of granite is proposed. In this method, rock is assumed to be an elastic material which contains oriented cracks and random distributed cracks, and the effective elastic constants of rock are calculated by using New Self Consistent Scheme. From the calculated elastic constants, theoretical values of the elastic wave velocities are calculated and compared with measured values of them. The elastic constants can be back-analyzed by minimizing the difference between theoretical wave velocities and measured ones.The proposed method is applied to three kinds of granite. It is confirmed that the theoretical values of wave velocities agree well with the measured values, and that the elastic constants as well as the crack densities can be evaluated. Furthermore, it is pointed out that the elastic constants of granite can be evaluated by measuring P-wave velocities in three principal directions.
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