半充填裂隙渗流应力特性的微结构效应

Effect of Microstructure on Seepage-stress Characteristics of Half-filled Fracture

针对填充物在渗流应力作用下破裂过程的非稳定性问题,应用突变理论建立了半充填裂隙破坏失稳的尖点突变模型,导出了半充填裂隙破坏失稳的充要条件表达式,证明了当应力满足突变模型的分叉点集方程时,其相对应的孔隙的微结构将发生失稳坍塌;利用试验仪器对半充填裂隙进行了渗流试验研究,通过分析整理试验数据,得出半充填裂隙的渗流应力曲线,并将试验数据与微结构突变失稳假说相结合,比较理论计算值与试验实测值,发现两者具有较高的吻合性,说明以微结构失稳的尖点突变理论为基础来研究半充填裂隙在渗流应力作用下的破坏失稳是可靠的。

Faced with the problem that the filling is unstable under the action of seepage and stress process, this paper establishes a cusp catastrophe model for the instability of half-filled fracture based on the catas- trophe theory, derives the sufficient and necessary condition expression of the instability of half-filled frac- ture,and proves that instable collapse of the corresponding pore microstructure will occur if the stress meets the bifurcation set equation of the catastrophe model. The paper studies the failure of half-filled frac- ture which is under the action of seepage and stress process by using laboratory equipment and obtains seepage-stress relationship curves of half-filled fracture based on experimental data. It is found that the ex- perimental data agrees well with that of the theory. The study indicates that microstructural instability of the cusp catastrophe theory may be applied to half-filled fracture research, and that the method is reliable.