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<datestamp>2018-01-11</datestamp>
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<publisher>HAL CCSD</publisher>
<title lang=en>Fractal geometry of sedimentary rocks: simulation in 3-D using a Relaxed Bidisperse Ballistic Deposition Model</title>
<creator>Giri, Abhra</creator>
<creator>Tarafdar, Sujata</creator>
<creator>Gouze, Philippe</creator>
<creator>Dutta, Tapati</creator>
<contributor>Jadavpur University, Kolkata ; Université du Québec</contributor>
<contributor>Transferts en milieux poreux ; Géosciences Montpellier ; Université des Antilles et de la Guyane (UAG) - Institut national des sciences de l'Univers (INSU - CNRS) - Université de Montpellier (UM) - Centre National de la Recherche Scientifique (CNRS) - Université des Antilles et de la Guyane (UAG) - Institut national des sciences de l'Univers (INSU - CNRS) - Université de Montpellier (UM) - Centre National de la Recherche Scientifique (CNRS)</contributor>
<description>International audience</description>
<source>ISSN: 0956-540X</source>
<source>EISSN: 1365-246X</source>
<source>Geophysical Journal International</source>
<publisher>Oxford University Press (OUP)</publisher>
<identifier>hal-00823061</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00823061</identifier>
<source>https://hal.archives-ouvertes.fr/hal-00823061</source>
<source>Geophysical Journal International, Oxford University Press (OUP), 2013, 192 (3), pp.1059-1069. 〈10.1093/gji/ggs084〉</source>
<identifier>DOI : 10.1093/gji/ggs084</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1093/gji/ggs084</relation>
<language>en</language>
<subject lang=en>Image processing</subject>
<subject lang=en>Fractals and multifractals</subject>
<subject lang=en>Microstructures</subject>
<subject lang=en>Sedimentary basin processes</subject>
<subject lang=en>mechanics</subject>
<subject lang=en>theory and modelling</subject>
<subject>[SDU.STU.GP] Sciences of the Universe [physics]/Earth Sciences/Geophysics [physics.geo-ph]</subject>
<subject>[PHYS.PHYS.PHYS-GEO-PH] Physics [physics]/Physics [physics]/Geophysics [physics.geo-ph]</subject>
<subject>[SDE.MCG] Environmental Sciences/Global Changes</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>Several studies, both theoretical and experimental, show that sedimentary rocks have a fractal pore-grain interface. In this paper a computer simulated 3-D sedimentary rock structure generated by the Relaxed Ballistic Bidisperse Deposition Model (RBBDM), is investigated to characterize the micro structure of its pores. The pore volume and the rock-pore interface show the same fractal dimension indicating that the pore volume is a fractal. The two point density correlation is computed for the pore space and the results compare favourably with the range reported from experiments. An array of 2-D X-ray tomography micrograph sections of a real sedimentary rock, an oolitic limestone (pure calcite) from the Mondeville formation of Middle Jurassic age (Paris Basin, France), was used to generate a 3-D bitmap. The 3-D real rock sample generated in this manner, was analysed for similar studies as the simulated structure. The results were compared with those obtained from simulation. The simulation results agree qualitatively with the real rock sample. Diffusion through the connected pore space of the simulated structure was studied using a random walk algorithm and the results compared with the similar simulation study done on the 3-D oolitic limestone specimen. In both cases diffusion was found to be anomalous indicating that the sedimentary rock has a fractal geometry. The favourable comparability of results between the simulated and real rock supports the usefulness of the model of sedimentary rock generation which can be applicable to transport phenomena.</description>
<date>2013-03</date>
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