首页|Appraisal of the number of asperity peaks, their radii and heights for three-dimensional rock fracture
Appraisal of the number of asperity peaks, their radii and heights for three-dimensional rock fracture
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NSTL
Elsevier
? 2022 Elsevier LtdContact behaviors of rock fracture are controlled by the asperities which carry the external load during the process of closure/shearing. The spatial geometrical features of asperity serve as input parameters for Hertz-based theoretical models, mainly including peak density, mean peak radius or mean peak height. However, there is no well-recognized appraisal in 3D domain available to identify the asperity peaks randomly distributed on the fracture surface. Two kinds of method with different principles are used to identify the asperity peaks, which are the spectral moments approach and the quantitative method (5 PP and 9 PP criterion). The spectral moments approach generally leads to a larger peak density and a lower standard deviation of peak height, and also underestimates the mean peak radius, which is not recommended to identify the asperity peaks in 3D domain. Similar evolutions of the peak spatial features determined by 5 PP and 9 PP criteria can be observed, while 5 PP criterion is suggested to identify the asperity peaks in 3D domain. The effects of sampling interval in lateral resolution (in x- and y-directions) and peak-threshold value (in z-direction) on the peak spatial features based on 5 PP criterion are further provided. How to choose sampling interval and peak-threshold value are discussed, while general rules is unavailable by the present analysis. Such analysis can be helpful to understand the contact behaviors of rock fracture under compression/shear load.