Investigation of 3D fractal dimension sensitivity on 3D fracture parameter

Abstract

Abstract Box counting fractal dimension has been investigated as 3D Fracture parameters. Geothermal rock fractured and 3D fracture models are characterized its 3D fracture characteristics i.e. aperture, density and intensity. The investigation 3D Fractal dimension as aperture parameter, we use the rock samples and 3D Fracture models that have nearly the same intensity. We found that fractal dimension of 3D fracture has a strongly positive correlation with aperture both for 3D fracture in rock fractured samples and 3D fracture models. Based on this result we conclude that 3D fractal dimension of fracture can be used as parameter of fractures aperture and density. Meanwhile for fractal dimension of 3D fracture as intensity parameter, we use the rock samples and 3D Fracture models that have nearly the same aperture and density. We found that there’s no significant pattern of 3D fractal dimension on fracture intensity of rock samples. For further investigation we generate 3D fracture models. We found that the relation between 3D fractal dimension and 3D fracture intensity is very weak negative correlation. Based on this result, we are unable to conclude that the 3D fractal dimension of fracture can be used as parameter of fractures intensity.