地下煤层开采引起的覆岩移动是岩体中的力学问题,理应用岩体力学理论进行解释,并推导出覆岩移动的直观显现——地表移动的数学模型。但是,由于岩体物理力学性质的复杂性,在这方面一直没有突破性的进展。国内外常用的预计理论没能很好地解决这一问题,这是本学科的一大缺陷。无奈,只好从外部世界来认识下沉规律,通过大量的实地观测进行了综合分析,给下沉规律以各种数学描述,如负指数函数、三角函数、双曲函数乃至误差积分函数等。但这些描述属于经验的东西,不能从本质上揭示下沉规律的真实面 The movement of overlying strata caused by underground coal seam mining is a mechanical problem in rock mass. It should be explained by mechanics theory of rock mass and a mathematical model of surface movement of strata is derived. However, due to the complexity of the physical and mechanical properties of rock mass, no breakthrough has been made in this respect. The commonly used theory at home and abroad did not solve this problem well, which is a major flaw in this discipline. However, he had no choice but to understand the law of subsidence from the outside world, conduct a comprehensive analysis through a large number of field observations, and give various mathematical descriptions of the law of subsidence, such as negative exponential functions, trigonometric functions, hyperbolic functions and even error integral functions. However, these descriptions are experiential and can not reveal the true aspect of the law of sinking in essence