Multi-Scale joints roughness characterization using wavelet and shear modeling
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Abstract
Mechanical behavior prediction of rock joints is very important in the rock mechanics. Many models have
been proposed to predict the mechanical behavior of joints at which lack of correct evaluation of effective roughness
coefficient has been the most important shortage. In this research, each of the upper and lower profiles of joint surfaces is
considered as a 2-dimensional wave. Then, multi-scale decomposition based on wavelet theory has been applied studying
on asperities. Upper and lower profiles have been combined to produce a composite surface having asperities characteristics
of both joint surfaces. Each of the composed wave components (roughness and undulation) has been characterized with
statistical quantity of arithmetic mean deviation (Ra). This procedure of characterizing for 2-dimensional waves has been
easily extended to 3-dimensional joint surfaces. Conformity in the results of shear and dilation modeling and laboratory
tests satisfactorily verifies success of the proposed procedure