... If the sand particle size distribution of the formation has fractal structure, that is (1) Y n ( x ) ∝ − x − D Where, Y n (x) is the total number of particles smaller than diameter x/total number of particles, %; D is the fractal dimension of formation sand...

... ). (4) L f = b 1 − D f L 0 D f L 0 represents the characteristic length of the micro-fractures, μm , and D f represents the fractal dimension of the micro-fractures, dimensionless. By combining equations (3) and (4) along with the equations (A-1...

... In this study, the effect of temperature and shearing on aggregation behaviour of paraffin crystals was investigated using fractal dimensional analysis. It should be possible to employ the developed methodology and the introduced blanket algorithm to solve fractal dimension and characterize micro-morphologies...

... by fractal dimension analysis. A better pore connectivity showed for Indiana limestone compared to Edwards yellow, Winterset limestone, and Edwards white. The flowing fractions were 1, 0.86, 0.61, and 0.53 for Indiana limestone, Edwards yellow, Winterset limestone, and Edwards white, respectively. The PV bt...

... and it was cleared that the two-dimensional tortuosity and the shape factor affect on the deviation from the cubic law more remarkably than the fractal dimension and the steepness, and therefore, these parameters are very important to estimate the deviation from the cubic law of fracture permeability correctly...

.... Their characterization is also, to some extent, technique dependent. Some secondary parameters such as fracture density and fractal dimension are therefore defined for better description of these reservoirs. The relationship between the primary and secondary fracture parameters is complex and has not yet been fully...

... description of these distributions, fractal dimension of the distribution 6 , 23 and Dykstra-Parson's coefficient 10 , 12 have been used previously. The quantification of the permeability distribution facilitates to correlate the pressure response to the heterogeneity quantitatively. Abstract Many...

... geometry may describe the irregurality and fragmentation of natural objects and patterns. To characterize a fractal object or set, the fractal dimension D must be determined. A simple method is by "box counting". This is simply done by drawing a mesh of squares of side dimension that covers the set...