Abstract: Theoretical research on movement of overlying strata and strata behavior under long-wall cemented backfilling mining conditions need to be improved urgently; In view of this issue，mechanical properties of cemented backfill are firstly tested at laboratory，and the coefficient of elastic foundation was measured to range in 0.015~0.167 GN/m³.According to comprehensive analysis on the movement and deformation of overlying strata and the mechanical characteristics of fill body，a mathematical and mechanical model of movement and deformation of roof beam was established with the application of the theory of beams on elastic foundation.And analytical solution of this model was obtained.All factors affecting the movement and deformation of overlying strata and the distribution law of abutment pressure in backfilling zone were analyzed in detail via the method of numerical solution.The result showed that cemented backfill with certain strength and stiffness needs to be prepared based on different mining and geological conditions under long-wall cemented backfilling coal mining conditions.Reasonable coefficient of elastic foundation of backfill plays a key role in controlling the deflection and deformation of overlying strata.This research provides a theoretical guide in the field practices under long-wall cemented backfilling mining.

Key words: Cemented backfilling, Beams on elastic foundation, Mechanical model, Movement of overlying strata