非稳定流单井排放诱发地壳形变的研究──基于Neuman理论的无压含水层完整井

在高精度动态大地测量时，为考虑地下水单井排放对台站坐标的影响，需精细研究不同水流系统和地层模型下相应的定量计算问题．本文将地下水单井排放诱发地表位移的一般公式与Muman理论结合起来，导出了适用于各向异性和滞后反应的无压含水层完整井非稳定流单井排放诱发的地表位移的解析表达式，以20个结点的Hermite求积公式和15个结点的Gauss－laguerre求积公式，编制了相应的计算程序，给出了模拟算例．本文的研究在理论上比基于Boulton理论的相应研究更合理，在实践上此方案是可行的．

RESEARCH OF CRUSTAL DEFORMATION CAUSED BY A WELL WITHDRAWAL IN NON-STEADY UNDERGROUND WATER,FULL PENETRATING WELL IN UNCONFINED AQUIFERS BASED ON NEUMAN THEORY

In order to include the groundwater withdrawal effect on the coordinates of surveying station during precision dynamical geodetic surveying, we should carry out cormsponding quantitative calculations in different underground water systems and stratal models. In this paper, combining the general analytic expressions of crustal deformation caused by the groundwater withdrawal in a well with Neuman theory, we have derived analytic expressions of surface displasement induced by a full well withdrawal in unconfined equifers considering delayed response of warer table and anisotropic effect which are adopted in non-steady flow. By means of Hermite quadrature formula with 20 nodes and Guass-Laguerre ones with 15 nodes, programs have been given and analogous calculations have been also done. The research in this paper is more reasonable than that based on Boulton theory and the calculating scheme is pnatical as well.