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构造地质学与其他科学一样以定量化作为其目标之一,构造的应力分析和应变分析是构造地质学定量化发展的手段。在应力分析中,已有一些方法手段确定应力的主方向,但应力大小的计算仍没有得到很好的解决。本文通过固体力学和断裂力学的分析,推导出一套求解正断层和逆断层发生的差应力大小的求解公式。正、逆断层发生时的差应力大小随埋深的增大而增大;在地表条件下,正、逆断层发生时的差应力与岩石初始抗剪强度和岩石的内摩擦角有关。本文中的公式与已有的共轭剪节理求解古差应力大小的公式结合,可做出某个地区的差应力值图,恢复古应力场。
Tectonic geology, like other sciences, uses quantification as one of its goals. Tectonic stress analysis and strain analysis are the means by which to quantify the development of geology. In the stress analysis, there are some methods to determine the main direction of stress, but the calculation of the stress size has not yet been well resolved. Based on the analysis of solid mechanics and fracture mechanics, this paper deduces a set of formulas to solve the differential stress of normal fault and reverse fault. Under the surface conditions, the difference stress between normal and reverse faults is related to the initial shear strength of rock and the internal friction angle of rock. The formula in this paper is combined with the existing formula for solving the palaeorneal stress of conjugate shear joint to make the difference stress map of some area and restore the ancient stress field.