抽降承压水引起的地层二维变形解析研究

Research on analytical method of two-dimensional ground deformation induced by vertical well pumping of confined water

基于Biot固结控制方程以及完全承压含水层和越流承压含水层中完整井抽水的特点,应用平面应力假设模型,Laplace积分变换技术,求解得到了完全承压含水层及越流承压含水层侧向无限延伸两种情况下,抽降水引起的水位降深解析解,并应用土力学原理,获得了两种条件下的完整井抽水引起地层的二维变形解析解。利用该解析解可以计算在稳定流和非稳定流抽水作用下承压含水层的径向和竖向变形,为准确计算抽灌承压水引起的水位降深及地层沉降提供理论依据。

According to Biot consolidation theory and the characteristic of fully penetrating well in fully confined aquifer,the analytical solutions of two-dimensional deformation of the pumped aquifer induced by a fully penetrating well pumping in an infinite fully confined aquifer are obtained by Laplace transform under the assumption that the pumped aquifer deforms in the state of plane total stress. Similarly,the analytical solutions are also deduced in an infinite leaky confined aquifer when all other conditions are the same. These analytical solutions can be applied to calculate the vertical and horizontal displacement of the pumped aquifer,providing a basis of calculation for drawdown and ground deformation in engineering.