横观各向同性层状半空间中的弹性位错

本文在柱向量函数系下,利用传播矩阵法求解了层状横观各向同性半空间由内部点源位锚引起的变形;对六个基本点源位错,以等价体力法推出了横观各向同性情形下的点源函数,并且给出了内部任意剪切位错源引起的地表位移的积分表达式。为研究地球的层状结构,特别是其上部的横观各向同性对地表的地震位移、应变以及倾斜场的影响提供了计算公式。

ELASTIC DISLOCATIONS IN A TRANSVERSELY ISOTROPIC AND LAYERED HALF-SPACE

The propagator matrix method is used in the system of cylindrical vector functions to solve the problem of the static deformation of a transversely isotropic and layered half-space by internal point dislocation sources. The source functions in transversely isotropic medium are obtained for the six elementary displacement dislocations by the use of body force equivalents. The explicit integrand expressions for surface displacements are given for an arbitrary shear dislocation source within the layered medium, which can be calculated to investigate the effects of earth layering, and especially transverse isotropy on earthquake displacement, strain and tilt fields.