New Boundary Element Method For Analysis Of Surface Subsidence Due To Coal Mining

摘要

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.煤系地層為成層分布的沉積巖,煤層的開采會引起地表大規模的沉陷,發展適應此類介質的分析方法一直是本領域的研究熱點。本文發展了一種新型的邊界元方法來分析煤層開采引起的地表移動。該邊界元方法基于層狀材料基本解,采用4~8變結點單元離散邊界,并采用有效的數值方法計算各類奇異積分。然后,用有解析解的算例驗證建議數值方法。最后,采用新型邊界元方法分析煤層開采引起的地表移動。本文所建議的方法在分析煤層開采引起的地表沉陷時具有較高的計算精度和效率。