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Calculation of anisotropy permeability from 3D tomographic images using renormalization group approaches and lattice Boltzmann method
Irayani Z.a, Fauzi U.b, Viridi S.b, Latief F.D.E.b
a Physics Department, Faculty of Mathematics and Natural Sciences, Jenderal Soedirman University, Purwokerto, Indonesia
b Earth Physics and Complex System Research Division, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, 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]© 2018, The Author(s). Calculation of permeability from 3D tomographic rock images was performed by combining renormalization group approaches (RGA) and lattice Boltzmann method (LBM). Images of sandstone rock samples (i.e., Fontainebleau, Berea, and Sumatera sandstones) with block size of 256 3 voxels were used in this study. LBM was applied to calculate permeability of each smallest block (i.e., 64 and 128 voxels) as sub-blocks of the larger block (256 3 voxels). The calculated permeability will form analogue to hydraulic conductance networks. RGA were then applied to the networks for all three perpendicular directions using several RGA schemes, i.e., King, Karim–Krabbenhoft, Green–Paterson, and their combinations. It was shown that as the number of renormalizations increases, the average permeability decreases. The effective permeability calculated by combining RGA and LBM were lower than permeability of the single largest block. Karim and Krabbenhoft’s scheme produced mostly higher estimation than the others and closest to the true permeability. Degree of anisotropy is influenced by the initial block size prior to RGA scheme.[/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]Average permeability,Degree of anisotropy,Effective permeability,Hydraulic conductance,Lattice Boltzmann method,Lattice boltzmann methods (LBM),Micro CT,Renormalization group approach[/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]Anisotropy,Lattice Boltzmann Method (LBM),Micro-CT scan,Permeability,Renormalization group approach (RGA)[/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]Acknowledgements We would like to thank Doctoral Research Grant from the Directorate for Higher Education of Republic of Indonesia for financial support and LEMIGAS for providing Sumatra’s rock sample.[/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/10.1007/s13202-018-0558-9[/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]