一种求解倾斜滑动断层差应力的方法

A NEW METHOD TO DETERMINE THE DIFFERENTIAL STRESS OF DIP SLIP FAULTS

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。

Structural geology seeks to approach its subject of study in a quantitative way.Stress and strain analysis of structures are essential to this approach.In the stress analysis,we can often determine the directions of the principal stresses,instead of their magnitudes.In this paper,we develop the equations to determine the differential stresses for normal and reverse faults,which increase with depth and are related to the initial shear strength and the angle of inner fraction of rocks on the surface.These equations can be used in combination with those in calculating the differential stress from conjugate joints to obtain the differential stress in certain area.