Incollection,

Flow response in a reconstituted marine quartz sediment with an interacting lattice gas simulation

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

A sediment sample (cylinder of 5.9 cm diameter) is prepared in the laboratory by reconstituting the marine quartz sands from the Northern Gulf of Mexico. Different regions of the cylinder are sub-sampled by smaller cylinders (each with 6.5 mm diameter) by digital computed tomography. These digitized images provide the porous matrix for an interacting lattice gas simulation. A cubic lattice of size $100^3$ is used to represent the sediment matrix of the order of $64 mm^3$. Each region of the reconstituted sample is represented by corresponding porous matrices each with a unique pore distribution. Mobile particles, the constituents of an interacting lattice gas, are used to model the fluid which flows through the porous media from a source at the bottom to a sink at the top. Fluid particles are driven by their concentration gradient and an external pressure bias against gravity. We study the variations of the root mean square displacement of each particle (tracer) and that of their center of mass with the time steps, mass transfer and flux with the time step. Responses of these physical properties are examined as a function of the external pressure bias. The linear and non-linear response (which varies among samples) of the particle flux density to the external bias are observed.

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