Three-dimensional semi-analytical numerical calculation method on mining subsidence

Mining subsidence of overlying strata is a three-dimensional problem which has a large calculation scope. The present numerical methods has given answers to rock mechanics aspect, however the answers are inadequate, especially on conditions of greater inclination and thick overlying alluvium. The author proposes a method of semi-analytical numerical analysis which can solve three-dimensional analysis problem of the overlying bedded rock subsidence caused by mining. This method uses the standard analytic solution of a number of stratiform units and columnar units, combinates with discretization analysis of the finite element. It not only overcomes difficulties in mathematics and limitations on application of purely analytical theoretical analysis, but significantly reduces the amount of calculating work based on purely numerical method of fully discrete principle. The developed computer program has a wide range of applicability for displacement and stress calculation of the overlying bedded rock subsidence caused by mining.