格子Boltzmann方法研究岩石粗糙裂隙渗流特性

为研究岩石粗糙裂隙水力特性,建立了基于格子Boltzmann的压力模型。通过对3组不同试件（平板光滑裂隙、矩形非吻合裂隙、随机隙宽裂隙）的模拟,拟合出流量与平均隙宽的关系。研究结果表明,在所计算的10种工况中,3组裂隙中的水流都接近于层流。只有平行光滑裂隙中的水流的流量与平均隙宽近似成立方关系,矩形非吻合裂隙和随机隙宽裂隙中的流量与平均隙宽呈现超立方关系。改变平均隙宽和进出口压力都会导致流量与平均隙宽的关系变化。同时,进出口压力的改变也会造成两者之间产生次立方关系。

Lattice Boltzmann method for rough fracture seepage characteristics of rock

To study the hydraulic characteristics of rough rock fracture, a pressure model based on the lattice Boltzmann model is established. Based on simulations of three groups of different specimens (flat smooth fracture, rectangular non-match fracture and random gap width fracture), the relationship between the flow and the average gap width can be fitted. The research results show that under the calculated 10 kinds of working conditions, the flows of the three groups of fractures are close to the laminar ones. Only in parallel smooth cracks, the relationship between the flux and average gap width is approximately a cubic one, and that for rectangular mismatching crack and random gap width fissure shows a super-cubic relationship. Changing the average gap width and import and export pressures may lead to the variation of relationship between the flux and average gap width. In the meantime, the later can also cause the presence of cubic relationship between them.