以向错理论为基础,推导了无限弹性介质空间内断层转动与地面水平位移、垂直位移的关系,采用数值方法模拟计算了龙门山地区主要断层转动在地面产生的水平位移、垂直位移的空间分布,并将计算结果与位错理论模型模拟的结果进行对比。结果表明:1)断层转动在地面产生的水平位移和垂直位移与断层滑动在地面产生的水平位移具有相同的数量级;2)断层转动产生的水平位移场在空间分布上与断层滑动产生的地面位移具有相似的空间分布特征,但在大小和方向上与断层滑动产生的地面位移存在一定的差异;3)断层转动在地表产生的垂直位移比断层滑动产生的垂直位移在空间区域小,主要发生在断层端点附近。
The formula to express relationship between the surface horizontal, vertical deformation and fault rotation is derived from a disclination model. In order to verify the validity of this new derived formulas, the surface deformation in Longmenshan fault zone is computed by using the new derived formula. The computed results are compared with those computed by dislocation model which have same fault parameters as disclination model except slip components and rotations in the same region. The results manifest that:l ) the surface deformation induced by fault rotation is as same order as that induced by fault slip in magnitude;2)The surface horizontal displacements due to fault rotation has similar space distribution characteristics with those due to fault slip, but the direction and magnitude of the horizontal displacement induced by fault rotation have a little difference with those induced by fault slip in space contribution ;3 )The vertical displacements caused by fault rotation have smaller space area than those induced by fault slip, and the vertical displacement lie near two ends of the fault.