分析煤层开采地表移动的一种新型边界元方法

摘要

煤系地层为成层分布的沉积岩，煤层的开采会引起地表大规模的沉陷，发展适应此类介质的分析方法一直是本领域的研究热点。本文发展了一种新型的边界元方法来分析煤层开采引起的地表移动。该边界元方法基于层状材料基本解，采用4～8变结点单元离散边界，并采用有效的数值方法计算各类奇异积分。然后，用有解析解的算例验证建议数值方法。最后，采用新型边界元方法分析煤层开采引起的地表移动。本文所建议的方法在分析煤层开采引起的地表沉陷时具有较高的计算精度和效率。%Rock and coal in coal bearing formation belong to layered sedimentary rocks.Their large-scale subsidence may occur because of coal mining.Thus,it is one of research highlights to develop an analytical tool suitable for these layered rocks.This paper presents a new Boundary Element Method (BEM)for analysis of the surface subsidence due to coal mining.The BEM uses the fundamental solution of layered materials,4~8 noded elements to discretize the boundaries,and effective numerical methods to calculate the singular integrals.An example with exact solutions is used to verify the numerical method.Finally,the numerical method is used to analyze in situ surface subsidence due to coal mining.The result shows that the proposed BEM can analyze the surface subsidence due to coal mining with high efficiency and good accuracy.