Calculation of fractal dimension of pore structure by using subsection regression method
Lang Zhao-xin
Abstract
Lang Zhao-xin
Abstract
The pore spaces in reservoir rocks have fractal property. The fractal dimension of pore structure can be used to quantitatively describe the complexity of pore structure. According to the principle of fractal geometry, the fractal models for describing the pore size distribution and capillary pressure curve were developed. On the basis of the capillary pressure data, the fractal dimension of pore structure was calculated by using subsection regression method. The results obtained by the subsection regression method can really reflect the pore structure in reservoir. If the difference of pore sizes is small, the fractal dimensions of pore structure are equivalent or close. If the difference of pore sizes is big and the inhomogeneity of reservoir is strong, the fractal dimensions are different.
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The pore spaces in reservoir rocks have fractal property. The fractal dimension of pore structure can be used to quantitatively describe the complexity of pore structure. According to the principle of fractal geometry, the fractal models for describing the pore size distribution and capillary pressure curve were developed. On the basis of the capillary pressure data, the fractal dimension of pore structure was calculated by using subsection regression method. The results obtained by the subsection regression method can really reflect the pore structure in reservoir. If the difference of pore sizes is small, the fractal dimensions of pore structure are equivalent or close. If the difference of pore sizes is big and the inhomogeneity of reservoir is strong, the fractal dimensions are different.
Key concepts: Fractal dimension, Fractal, Fractal analysis, Fractal dimension on networks, Capillary pressure, Geometry, Capillary action, Mathematics