Surface movement and deformation simulated by Verhulst model

The surface subsidence caused by underground coal seam mining is a time and space process and the development and change process of surface movement and deformation caused by mining subsidence is in accordance with biological growth law, this paper uses the characteristics of Verhulst model to carry out various processing of a few initial data to establish a grey differential equation model, obtains the time response model of surface movement and then uses the advantages of computer, such as high speed, strong repeatability and high operational precision, etc, to compile programs and input necessary initial data, thereby establishing the Verhulst model of surface movement of a certain point and simulating the time process of the surface point movement, and finally re-divides surface movement and deformation stage into 4 phases according to biological growth law and uses biological growth process to simulate the time process of surface movement, which is helpful to prevent the damage of mining subsidence to surface structure, protect ground facilities and reduce the economic losses caused by mining subsidence.