地下水径向辐射渗流单井排放诱发地壳形变的解析表达

ANALYTIC EXPRESSION OF CRUSTAL DEFORMATION INDUCED BY WITHDRAWAL OF SINGLE WELL ON RADIAL RADIATION PERMEATION OF GROUNDWATER

本文把地下水径向辐射渗流单井排放诱发的地壳形变问题化为多孔弹性介质点源力诱发的平面应变问题来处理，利用多孔介质的本构方程和弹性半平面的Ｇｒｅｅｎ函数，在Ｓｅｇａｌｌ工作的基础上，导出了通过地下水水位降深Ｓ表达的地下水径向流排放诱发的地面垂直位移和水平位移的解析表达式。

In this paper, the problem on custal deformation induced by withdrawal of single well radial radiation permeable flow of groundwater is solved by turning it into the plane strain problem induced by the point resource force in elastic media. Based on Segall's work, we have derived the analytic expression of vertical surface displacement and horizontal displacement due to withdrawal of radial groundwater radiation permeable flow through draw-down of groundwater table by means of the constitutive equation of porous media and Green function of elastic half plane. Those expressions would be a foundation to make precise calculation of erustal deformation caused by the withdrawal of single well, using the theories of underground steady seapage flow and non-steady seapage flow.