Roughness Research of Center Profile Curve on Rock Fracture Surface Based on Statistical Method

Xuezai Pan,Hongguang Liu,Guoxing Dai,Zhigang Feng

doi:10.4236/gm.2013.32006

Abstract

In order to research roughness of rock fracture surfaces whether to depend on scale effect, Brazil discs were fractured under tensile and compression stresses in Brazil split test with MTS (Mechanics Test Systems) and a laser profilometer was used to scan rock fracture surfaces and coordinates datum of central profile were acquired. A figure of the central profile was plotted through the coordinates datum. A certain line segment length is regarded as a step length, which is called scale and the scale length is taken to connect pairs of closer peak points on the profile curve. The directional distribution of every scale’s normal vector is analyzed by statistics and normal hypothesis test. Finally, some statistics of sample degrees datum are compared with other ones and reach a conclusion that roughness of center profile curve depends on scale effect. The distribution of degrees more and more approximates normal distribution along with increase of scale.

Highlights

Deformity and fracture of rock are involved in process of moving in earth crust, for example, earthquake, slide downhill, mud-stone flow and so on
In order to research roughness of rock fracture surfaces whether to depend on scale effect, Brazil discs were fractured under tensile and compression stresses in Brazil split test with MTS (Mechanics Test Systems) and a laser profilometer was used to scan rock fracture surfaces and coordinates datum of central profile were acquired
Some statistics of sample degrees datum are compared with other ones and reach a conclusion that roughness of center profile curve depends on scale effect

Summary

Introduction

Deformity and fracture of rock are involved in process of moving in earth crust, for example, earthquake, slide downhill, mud-stone flow and so on. Experts have discovered that rock fracture surface has characterization of roughness, irregularity and complexity. In order to assess the current state of rock masses and to predict the stability of jointed rock structures, the roughness of rock fracture surfaces has been studied to a higher level. Barton and Choubey in 1977 proposed a conceptual model to quantify the roughness of rock fracture surface [1]. Some experts have indicated that the structural anisotropy of fracture surfaces in rocks greatly influences the mechanical behavior of rock joints under loading [9,10,11]. Three prospects will be put forward in the end of the paper

Experimental Method

Center Profile Curve Analysis on Rock Fracture Surface

Statistical Method

Conclusion and Prospect