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Fractal evolution of a crack network in overburden rock rtratum

机译:覆岩岩层裂缝网络的分形演化

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A quantitative description for the spatial distribution and the evolution of a crack network in mining rock stratum is one of the most difficult and fundamental problem in the subject of surface subsidence. In this paper, the physical models are employed to simulate the spatial distribution of a crack network. By using the fractal geometry, the self-similarity of spatial distribution of crack network is discovered. As a result, the conception of fractal crack network is proposed. Furthermore, the evolution of a crack network with the increasing of mining width is investigated. It is shown that (1) the spatial distribution of a crack network displays the fractal behavior, so, the fractal dimension can be used to describe quantitatively the evolution of the crack network, (2) the fractal dimension of the crack network increases with increasing of mining width, (3) the surface subsidence increases with the increasing of fractal dimension of crack network.
机译:定量描述开采岩层中裂缝网络的空间分布和演化是地表沉陷问题中最困难,最基本的问题之一。在本文中,物理模型被用来模拟裂缝网络的空间分布。通过使用分形几何,发现了裂纹网络空间分布的自相似性。因此,提出了分形裂纹网络的概念。此外,研究了随着开采宽度的增加裂纹网络的演化。结果表明:(1)裂纹网络的空间分布表现出分形行为,因此,分形维数可以用来定量描述裂纹网络的演化;(2)裂纹网络的分形维数随着增加而增大。 (3)地表沉降随裂缝网络分形维数的增加而增加。

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