Abstract:The conductivity (K) of porous media represents an important physical parameter in several areas of knowledge. In saturated flow, the saturated conductivity (K 0 ) is the most important parameter of porous system and it is related to the fluid and porous media properties. In order to evaluate the potential of a new tool for measuring K 0 , such as the computational simulation with Boltzmann models for fluid flows, two experiments were carried out using two simplified media: 1) a cylindrical cavity and 2) a cav… Show more
“…An experimental apparatus tested by Camargo et al [ 8 ] was used for K experimental measurements ( Figure 1(a) ). The steps below were followed to determine K : (a) porous media saturation (acrylic box with a certain sphere arrangement) with glycerin, C 3 H 5 (OH) 3 , (manufactured by Biotec, 99.5% purity); (b) H length measurement (hydraulic load) and L (porous media height); (c) percolated glycerin mass measurement to obtain its volume, where the glycerin density is known; (d) measurement of the necessary time interval for the glycerin to percolate; (e) use of Darcy's Law to calculate conductivity using V = volume of percolated glycerin (cm 3 ), A = cross sectional area of the box containing spheres (cm 2 ), and t = time interval for a given volume of glycerin to percolate (s) [ 16 ]; (f) glycerin viscosity measurement using its flow through a D = 0.27 cm diameter acrylic cylinder and the analytical expression for the cylinder conductivity ν = ( D 2 /32)( g / K cylinder ): g = gravity acceleration (cm s −2 ); (g) K cylinder was measured using the steps (a) to (e).…”
Section: Methodsmentioning
confidence: 99%
“…One theoretical tool that can be successfully used to predict K is the Lattice Boltzmann method (LBM) [ 8 , 9 ]. The LBM is based on evolution of a relaxation equation for fluid particles distribution function, which is related to density and fluid macroscopic momentum.…”
The hydraulic conductivity (K) represents an important hydrophysical parameter in a porous media. K direct measurements, usually demand a lot of work, are expensive and time consuming. Factors such as the media spatial variability, sample size, measurement method, and changes in the sample throughout the experiment directly affect K evaluations. One alternative to K measurement is computer simulation using the Lattice Boltzmann method (LBM), which can help to minimize problems such as changes in the sample structure during experimental measurements. This work presents K experimental and theoretical results (simulated) for three regular finite arrangements of spheres. Experimental measurements were carried out aiming at corroborating the LBM potential to predict K once the smallest relative deviation between experimental and simulated results was 1.4%.
“…An experimental apparatus tested by Camargo et al [ 8 ] was used for K experimental measurements ( Figure 1(a) ). The steps below were followed to determine K : (a) porous media saturation (acrylic box with a certain sphere arrangement) with glycerin, C 3 H 5 (OH) 3 , (manufactured by Biotec, 99.5% purity); (b) H length measurement (hydraulic load) and L (porous media height); (c) percolated glycerin mass measurement to obtain its volume, where the glycerin density is known; (d) measurement of the necessary time interval for the glycerin to percolate; (e) use of Darcy's Law to calculate conductivity using V = volume of percolated glycerin (cm 3 ), A = cross sectional area of the box containing spheres (cm 2 ), and t = time interval for a given volume of glycerin to percolate (s) [ 16 ]; (f) glycerin viscosity measurement using its flow through a D = 0.27 cm diameter acrylic cylinder and the analytical expression for the cylinder conductivity ν = ( D 2 /32)( g / K cylinder ): g = gravity acceleration (cm s −2 ); (g) K cylinder was measured using the steps (a) to (e).…”
Section: Methodsmentioning
confidence: 99%
“…One theoretical tool that can be successfully used to predict K is the Lattice Boltzmann method (LBM) [ 8 , 9 ]. The LBM is based on evolution of a relaxation equation for fluid particles distribution function, which is related to density and fluid macroscopic momentum.…”
The hydraulic conductivity (K) represents an important hydrophysical parameter in a porous media. K direct measurements, usually demand a lot of work, are expensive and time consuming. Factors such as the media spatial variability, sample size, measurement method, and changes in the sample throughout the experiment directly affect K evaluations. One alternative to K measurement is computer simulation using the Lattice Boltzmann method (LBM), which can help to minimize problems such as changes in the sample structure during experimental measurements. This work presents K experimental and theoretical results (simulated) for three regular finite arrangements of spheres. Experimental measurements were carried out aiming at corroborating the LBM potential to predict K once the smallest relative deviation between experimental and simulated results was 1.4%.
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