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Fractal analysis of sandstone pore space geometry

Figiel M., Lewandowska-Śmierzchalska J.

AGH Drilling, Oil, Gas

2018

Vol. 35, no. 2

377--389

Fractal analysis is currently one of the fastest evolving branches of science. Numerous objects in nature exhibit a fractal structure. Additionally, the vast majority of rocks – especially reservoir rocks – take the form of a fractal. Computer image analysis based on thin-section images has been used for examining the fractal structure of pore spaces, directly applying the definition of the fractal box-counting dimension. For the examined sandstone sample, thin sections were made and photographed, and the corresponding values of the fractal dimension and lacunarity were calculated. Each of the photos was encompassed by porosity that was calculated based on the number of pixels. Furthermore, the volatility of the fractal dimension and lacunarity were studied as well as their relationships with the porosity. A correlation analysis between the fractal parameters and the porosity was carried out. The results were compared with the data obtained from a mercury porosimetry of the same sample of sandstone.

Wpływ cech strukturalnych piaskowców fliszowych z Mucharza (Beskid Mały) na procesy pękania w warunkach jednoosiowego ściskania

Pieczara Ł.

Przegląd Geologiczny

2014

Vol. 62, nr 10/2

680--686

The fracture processes of the Krosno Sandstones of Mucharz, southern Poland, were analysed to determine its relation to orientation of the structural features of the rock. The research putted focused estimating influence of characteristic structural features of the rock (arrangement of laminations plane and direction of arrangement of grains). In the initial stage of research, ultrasonic longitudinal wave propagation speed (Vp) tests were carried out on samples flysch sandstones. The results of the tests were analysed to determine effects of characteristic structural features of the rock on obtained values of longitudinal wave propagation speed (Vp), using on variability of obtained results depending on orientation of mineral elements. In the second part of the study, the point load test was used to determine rock strength under uniaxial compression conditions. In order to estimate uniaxial compressive strength, index-to-strength conversion factors were used. The point load test apparatus and procedure enables economical testing of rock samples in either a field or laboratory setting. Last part of the research was application of computer methods enabled to show technique of analysis microscopic images of the thin – section flysch sandstones samples, tested on point load tests and filled with a staining substance. The study elucidated the structural controls of the fracture processes of the flysch sandstones from Gorka – Mucharz quarry.