Study on seepage-creep model of coal measure sandstonebased on fractional order calculus

Due to the study on the surrounding rock creep law affected by underground seepage would have the important significances to the long term stability and safety of the mining and excavation engineering in the mine deep depth. Therefore, based on the rock creep theory, fractional order model and the coal measure sandstone seepage-creep coupling test results as the basis, the seepage-creep model of the integral order and fractional order coal measures sandstone was established. A least square method was applied to determine the relevant parameters of the model and the verification and comparison on the model showed that the integer order model and the fractional order model both could reflect the variation tendency of the sandstone seepage-creep characteristics curve, but the theoretical curve and the test of the fractional order model could be well fitted, the accuracy of the model would be higher and could provide references to the stability control of the surrounding rock along the mine roadway in the water rich area.