Theoretical Bases of the Three-Dimensional Rheologic Model of Earthquake Preparation

Abstract eng:
Based on the three-dimensional elastic inclusion model proposed by Dobrovolskii, we developed a rheological inclusion model to study earthquake preparation processes. By using the Corresponding Principle in the theory of rheologic mechanics, we derived the analytic expressions of viscoelastic displacement, normal strains, the shear strains， bulk-strain, the ground tilt , the increment of underground water level, the variation the of resistivity at an arbitrary point (x,y,z) in three directions of X-axis, Y-axis and Z-axis produced by a three-dimensional inclusion in the semi-infinite rheologic medium defined by the standard linear rheologic model. After the spatial-temporal variation of bulk-strain being computed on the ground produced by such a spherical rheologic inclusion, some interesting results are obtained, suggesting that the bulk-strain produced by a hard inclusion change with time according to three stages (α,β,γ) with different characteristics, similar to that of geodetic deformation observations, but different with the results of a soft inclusion. These theoretical results can be used to explain the characteristics of spatial-temporal evolution, patterns, quadrant-distribution of earthquake precursors, the changeability, spontaneity and complexity of short-term and imminent-term precursors. It offers a theoretical base to build physical models for earthquake precursors and to predict the earthquakes.

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