Open AccessTortuosity and Percolation Probability on 3 Dimensional Rock Models with Different Model Sizes
Author(s) -
F W Ramadhan,
Umar Fauzi
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1245/1/012015
Subject(s) - tortuosity , percolation (cognitive psychology) , percolation threshold , porosity , materials science , statistical physics , percolation theory , mathematics , physics , composite material , electrical resistivity and conductivity , combinatorics , topology (electrical circuits) , quantum mechanics , neuroscience , biology
Tortuosity, percolation probability and porosity are important rock parameters because all those things affect the fluid flow in rocks. In this study, 3-dimensional cube-shaped rock models were randomly generated with N × N × N size containing matrices and pores. Rock models were made with porosities ranging from 0.1 to 1 with increasing of value 0.1. The selected N is N = 5, 6, 7, 8, 9, 10, 25, 125 and for every N there are 10,000 random configurations. Then, tortuosity was calculated using a nearest-neighbor sites method with 6 neighboring sides. In addition, with the site percolation model, percolation probability was calculated by determining the comparison between the number of percolate configurations and the total number of configurations created. The results show that in large-size rock models, the average tortuosity will increase. Further, the percolation probability is zero at a small porosity and rises to 1 as the porosity increases. Moreover, the slope of the percolation probability curve will increase for the larger model. In other words, the larger the size of the model, the percolation threshold will become larger or more difficult to percolate for small porosity.