Theoretical models of fracture deformation based on aperture distribution
School of Resources and Environmental Engineering, Hefei University of Technology, 230009, Hefei, China
2 Hydraulic Fracturing and Oil-Gas Migration Development Center, Hefei University of Technology, 230009, Hefei, China
Accepted: 30 July 2022
Published online: 6 August 2022
The theory of rock fracture deformation is mainly based on the test, and the empirical formula has the parameters differences and inadequate theoretical logicality. Based on the processes of the fracture closure under normal stress and the fracture aperture distribution models including the power function form and normal function, the applied force causes the increase of the fracture contact area and the deformation modulus. Thus, we obtain the theoretical expression of force versus the deformation. We also propose a method that can predict the closure of the rock fracture contact area. The incremental area of fracture closure generated under each normal stress can be considered as the aperture increase effect corresponding to each displacement change amount to obtain the aperture distribution frequency corresponding to each stage load. The curves calculated by the theoretical models can fit well with the existing theoretical and experimental results, indicating that the proposed fracture deformation theory is reasonable. This paper expounds the fracture deformation theory, which has an important theoretical value for the rock mass engineering stability and the fracture seepage theory.
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