Abstract:

Stochastic medium theory was adopted to calculate the ground subsidence and horizontal displacement. The mechanism of displacement caused by gathering groundwater was analyzed and the compression of micro unit soil was calculated based on the effective stress theory. According to Theis formula of unsteady flow, the drawdown caused by the plane radium flow was calculated with well-flow supposed to be invariant, and parameters were determined by back analysis method using the data obtained from site observation. Due to the underwater boundary in the model changes constantly, a mathematic approximate method and numerical simulation were adopted respectively for different periods. On the basis of the above, a spatiotemporal coupling integral equation was suggested in the groundwater cone of depression and was solved under the cylindrical coordinates. The example indicates that the stochastic medium theory is suitable for calculating the ground deformation caused by gathering groundwater and can be used to calculate and predict the movements combined with unsteady flow theory and numerical simulation methods with a good precision.

Key words: stochastic medium theory, unsteady flow, spatiotemporal model, ground deformation