The Application of Stochastic Medium Theory to the Problem of Surface Movements Due to Open Pit Mining

Vertical and horizontal movements beyond the perimeter of the open pit have resulted from the development of deep and extensive open pits; the surface point always moves towards the centre of the open pit. The surface movements are not only great in relation to the stability of the open pit slope and the safety of mining operations but also are of significance to the stability of structures and ser- vices on the surface beyond the perimeter of the open pit. Recently, some studies on factors contributing to the surface movements have been carried out. Particular attention has been paid to prediction of vertical and horizontal movements, differential subsidence and horizontal strain and careful assessment of their influences on existing structures in the adjacent area. In the application of the theory of stochastic medium, it is assumed that ground subsidence process has the property of Markov Process. Based on the superposit ion principle, surface movements due to open pit mining are derived from the Kolmogorov Equation, and calculated in a digital computer. Quantitative calculation of surface movements is made according to the method employed in this paper and compared with the results of measurement in Morwell Open Pit, Victoria, Australia and Baiyin Open Pit, Gansu, China. The method of calculation gives reasonably satisfactory results.