岩石块度的分形演化模型及其应用

Fragmentation predicition of rock based on damage energy dissipation

提出一整套岩体块度预测方法.根据岩石分形损伤断裂切割岩块的块度形成机理,利用能量守恒关系,建立了损伤-能量-碎块尺寸理论关系式.为方便应用,将该式简化为块度-损伤演化关系式.提出了适合工程应用的损伤模型建立方法,并将其应用于岩石块度预测.根据块度分布的自相似性,将岩石块度-损伤演变关系式推广应用于岩体块度分布预测.对于节理岩体,计算裂隙损伤变量,利用块度-损伤关系式计算当前岩体块度.作为实例,计算了金川橄榄岩体块度分布.

A whole set of prediction method of rock fragmentation was presented. With the increment of compress, fractal distributed cracks cut the intact rock into fragmented bodies and eventually results in a fractal distributed fragmentation system. According to the principle of conversation of energy, a theoretical formula was established, which represented the relationship between fragmentation size, fractal dimension number of fragmentation system, and damage variable. In order to use the formula in engineering, it was simplified so that it took form of relating fragmentation size only with damage variable, provided that the fraetal dimension number of fragmentation system was given. Because of the characteristics of self-simularity of fragmentation system, the formula of size-damage could be generalized to fragmentation prediction of jointed first work was calculating damage variable by joint datum rock. When predicting fragmentation of jointed rock, the measured from rock mass, and then calculated the minimal size of the fragmentation system according to size-damage formula. An example of fragmentation prediction of jointed rock in Jinchuan Corp. was given.