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The displacement and strain field of three-dimensional rheologic model of earthquake preparation

机译：三维地震流变模型的位移应变场

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摘要

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 U(r, t) , V(r, t) and W(r, t), normal strains epsilon(xx) (r, t), epsilon(yy) (r, t) and epsilon(zz) (r, t) and the bulk strain theta (r, t) 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. Subsequent to the spatial-temporal variation of bulk strain being computed on the ground produced by such a spherical rheologic inclusion, interesting results are obtained, suggesting that the bulk strain produced by a hard inclusion change with time according to three stages (alpha, beta, gamma) 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.
机译：基于Dobrovolskii提出的三维弹性包裹体模型，我们开发了一种流变包裹体模型来研究地震的制备过程。利用流变力学理论中的对应原理，推导了粘弹性位移U（r，t），V（r，t）和W（r，t），正应变epsilon（xx）（r， t），epsilon（yy）（r，t）和epsilon（zz）（r，t）以及X轴三个方向上任意点（x，y，z）的整体应变theta（r，t），由标准线性流变模型定义的半无限流变介质中的三维夹杂产生的Y轴和Z轴。在通过这种球形流变夹杂物在地面上计算出整体应变的时空变化之后，获得了有趣的结果，这表明由硬质夹杂物产生的整体应变随时间随三个阶段（α，β， γ）具有不同的特征，类似于大地变形观测，但软包裹体的结果不同。这些理论结果可以用来解释时空演化的特征，模式，地震前兆的象限分布，短期和临近前兆的变化性，自发性和复杂性。它为建立地震前兆的物理模型和预测地震提供了理论基础。

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