根据采空区上覆岩层的“四带”划分，考虑到弯曲下沉带岩层的移动特征，提出了弯曲下沉带岩层的移动主要受弯曲下沉带内最下方，即最靠近似连续带的一层关键层的控制，其下沉移动可以近似认为呈现椭球圆台的基本轨迹，而弯曲下沉带最终移动是其内部各岩层移动所形成的椭球圆台的叠加，并最终形成一个椭圆抛物面的移动轨迹的观点。基于这一观点，首先确定了弯曲下沉带移动的挠度函数；进而结合弹性薄板理论，建立了水平、近水平煤层开采条件下弯曲下沉带内单一岩层下沉移动的椭球圆台模型；基于各岩层移动的椭球圆台叠加，建立了弯曲下沉带岩层移动的数学模型；最后给出了模型参数的确定方法。该研究结果丰富了弯曲下沉带移动的理论研究，为采动地表和岩层的移动变形研究提供了新的理论和方法。

According to the “four zones” division of mined-out area overburden and the movement characteristics of continuous deformation zone, this paper presents a view that movement of continuous deformation zone is controlled by the key rock stratum which locates at the bottom of continuous deformation zone and is close to the quasicontinuous zone; the sinking movement is referred to as approximately an elliptical table basic trajectory, the ultimate movement magnitude of continuous deformation zone is the superposition of elliptical table formed by internal strata movement, thus which forms an elliptic paraboloid movement trajectory. Based on this view, the deflection function of the continuous deformation zone is determined firstly. And then an elliptical table model of single stratum movement is put forward for the case of level and nearly horizontal seam mining in continuous deformation zone combining in combination with elastic thin plate theory; furthmore, a mathematical model of continuous deformation zone movement also is developed based on the superposition of single stratum movement. At last, the method of model parameters determination is given. The results enriches the research theory of continuous deformation zone movement, proving a new idea and method to study the movement and deformation of surface and strata.