Fracture and flow of rocks under high triaxial compression

TLDR

A novel triaxial compression technique enables experimental investigation of rock fracture and flow under fully triaxial stress states where all three principal stresses differ. The study shows that rock fracture and flow depend on both σ3 and σ2, with failure criteria derived from generalized von Mises theory, and that ductility rises with σ3 but falls with σ2, allowing inference of upper‑mantle properties.

Abstract

A new triaxial compression technique has made possible the study of laws of the fracture and flow of rocks under general triaxial stress states, in which all three principal stresses are different. By this new method, the effects of the stress states on fracture and yielding of rocks were experimentally studied. Fracture and flow properties of rocks are markedly affected not only by the least compression σ3, but also by the intermediate compression σ2. The stress states that produce fracture and yielding are determined by the following formulas: (1) (2) where ƒ1 and ƒ2 are monotonic increasing functions. The new failure criteria, corresponding to the generalized von Mises criteria, are physically interpreted as follows: fracture or yielding will occur when the distortional strain energy reaches a critical value that increases monotonically with the effective mean pressure: (σ1 + σ3)/2 for fracture and (σ1 + σ2 + σ3)/3 for yielding. The ductility defined as the permanent strain just before fracture, markedly increases with the increasing σ3 but decreases with increasing σ2. The influences of σ2 and σ3 on ductility are just the opposite. From these results on the effect of stress states, fracture and flow properties of the earth's upper mantle were deduced.