根据 Helm提出的基于固体颗粒速度场的含水层运动理论进行抽水型三维地面沉降建模。通过5个算例对该模型进行了验证并展示了其在不同水文地质条件不同抽水井布置条件下的理论运用。研究表明:基于固体颗粒速度场的三维地面沉降模型可以客观反映抽水引起的含水层的三维运动。基于固体颗粒速度场的三维地面沉降模型,直接将抽水引起的含水层系统中土体的三维运动与地下水水位变化相关联,不涉及复杂的土体本构关系,相较传统的流—固耦合模型或者解耦模型所需确定的参数较少,且无需求解大型的三维位移方程,从而实现以简单的模型快速有效地模拟三维地面沉降的目的。
Three-dimensional(3-D)land subsidence caused by groundwater extraction was simulated by using aquifer movement theory based on solid particle velocity,which was developed by Donald Helm.Two numerical experiments were conducted to verify the 3-D land subsidence models based on solid particle velocity.Three experiment demonstrated the application of models under different hydrogeological conditions and in different spatially arrangement of pumping wells.The result showed the three-dimensional motion caused by ground water pumpage. This model,based on solid particle velocity field,does not involved complex soil constitutive models.There are less parameters to be determined compared to traditional fluid-solid coupled or decoupled model,There are no large-scale three-dimensional displacement equations in this new 3-D land subsidence model,so that three-dimensional simulation of land subsidence can be achieved more efficiently by this kind of simplified model.