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Tortuosity and Percolation Probability on 3 Dimensional Rock Models with Different Model Sizes

Ramadhan F.W.a, Fauzi U.a

a Physics of Earth and Complex Systems, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Jawa Barat, Bandung, Indonesia

[vc_row][vc_column][vc_row_inner][vc_column_inner][vc_separator css=”.vc_custom_1624529070653{padding-top: 30px !important;padding-bottom: 30px !important;}”][/vc_column_inner][/vc_row_inner][vc_row_inner layout=”boxed”][vc_column_inner width=”3/4″ css=”.vc_custom_1624695412187{border-right-width: 1px !important;border-right-color: #dddddd !important;border-right-style: solid !important;border-radius: 1px !important;}”][vc_empty_space][megatron_heading title=”Abstract” size=”size-sm” text_align=”text-left”][vc_column_text]© Published under licence by IOP Publishing Ltd.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.[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Author keywords” size=”size-sm” text_align=”text-left”][vc_column_text]3-dimensional,Model size,Nearest neighbors,Percolation probability,Percolation thresholds,Random configurations,Rock models,Site percolation[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Indexed keywords” size=”size-sm” text_align=”text-left”][vc_column_text][/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Funding details” size=”size-sm” text_align=”text-left”][vc_column_text][/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”DOI” size=”size-sm” text_align=”text-left”][vc_column_text]https://doi.org/10.1088/1742-6596/1245/1/012015[/vc_column_text][/vc_column_inner][vc_column_inner width=”1/4″][vc_column_text]Widget Plumx[/vc_column_text][/vc_column_inner][/vc_row_inner][/vc_column][/vc_row][vc_row][vc_column][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][/vc_column][/vc_row]