Numerical Modeling of Aquifer Radial Movement Caused by Groundwater Pumping

摘要

The present investigation is to model aquifer radial movement toward a fully penetrating discharge well within a confined and non-leaky aquifer system. The governing equation for aquifer radial movement applied in the present paper reduces from a general governing equation for the three-dimensional land movement established by Li and Helm (2010). Numerical simulation is carried out with emphasis on radial movement using MATLAB. The numerical solution in terms of velocity and displacement fields are found based on a conceptual model that is incorporated with three different boundary conditions. In the present paper, aquifer's specific storage coefficient is not a constant but a variable that can be either a stress dependent or hydraulic head dependent so thatan exponential relation between the volume stress and strain is applied. Aquifer's velocity and displacement versus radial distance have been analyzed and discussed thoroughly for three different boundary conditions. The numerical solution of the linear model is noticed to be consistent with the analytic solution previously found by Li (2011). The results of the numerical modeling of the radial movement for a nonlinear aquifer system are similar to that of the vertical movement done by Li and Ding (2014).