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Geophysical Implications for Configurational Entropy and Cube Counting Fractal Dimension of Porous Networks of Geological Medium: Insights from Random Packing Simulations  

Lee, Bum-Han (School of Earth and Environmental Sciences, Seoul National University)
Lee, Sung-Keun (School of Earth and Environmental Sciences, Seoul National University)
Publication Information
Journal of the Mineralogical Society of Korea / v.23, no.4, 2010 , pp. 367-375 More about this Journal
Abstract
Understanding the interactions between earth materials and fluids is essential for studying the diverse geological processes in the Earth's surface and interior. In order to better understand the interactions between earth materials and fluids, we explore the effect of specific surface area and porosity on structural parameters of pore structures. We obtained 3D pore structures, using random packing simulations of porous media composed of single sized spheres with varying the particle size and porosity, and then we analyzed configurational entropy for 2D cross sections of porous media and cube counting fractal dimension for 3D porous networks. The results of the configurational entropy analysis show that the entropy length decreases from 0.8 to 0.2 with increasing specific surface area from 2.4 to $8.3mm^2/mm^3$, and the maximum configurational entropy increases from 0.94 to 0.99 with increasing porosity from 0.33 to 0.46. On the basis of the strong correlation between the liquid volume fraction (i.e., porosity) and configurational entropy, we suggest that elastic properties and viscosity of mantle melts can be expressed using configurational entropy. The results of the cube counting fractal dimension analysis show that cube counting fractal dimension increases with increasing porosity at constant specific surface area, and increases from 2.65 to 2.98 with increasing specific surface area from 2.4 to $8.3mm^2/mm^3$. On the basis of the strong correlation among cube counting fractal dimension, specific surface area, and porosity, we suggest that seismic wave attenuation and structural disorder in fluid-rock-melt composites can be described using cube counting fractal dimension.
Keywords
Random packing simulations; pore structure; configurational entropy; cube counting fractal dimension; mantle melts; viscosity; seismic wave attenuation;
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Times Cited By KSCI : 2  (Citation Analysis)
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