基于随机介质理论的采水地面变形时空分布

采用随机介质理论计算规模采水引起的地面下沉和水平位移。分析了采水引起的地面位移机制，采用有效应力原理推导微单元体的沉降；利用非稳定流理论Theis模型计算单井定流量采水时平面径向流引起的降深；利用现场观测数据，通过反分析法确定模型参数；由于模型的边界动态变化，故分时段采用数学近似法和变边界数值逼近法处理。在此基础上建立单元盆地在降落漏斗区域的时空分布积分方程，引入柱坐标系进行解答。工程实例分析表明，随机介质理论适用于计算采水引起的地面变形；结合非稳定流理论和数值计算方法能较好地预测地面随时间的变形规律。

Spatiotemporal model of ground deformation caused by groundwater gathering based on stochastic medium theory

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.