Lattice boltzmann modeling of fluid flow to determine the permeability of a karst specimen

Alvarez, Pedro F.

doi:10.25148/etd.fi14031608

Cited by 4 publications

(3 citation statements)

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“…Several analytical solutions for simple 3‐D flow systems are available and allow partial verification of our code. Verifications for flow in an axisymmetric pipe and for flow in a square duct can be found in Alvarez []. These verifications of the LBM code applied here show that it is adequate for the purpose of intrinsic permeability determination.…”

Section: Methodsmentioning

confidence: 73%

Evaluation of permeability and non‐Darcy flow in vuggy macroporous limestone aquifer samples with lattice Boltzmann methods

Sukop

Huang

Alvarez

et al. 2013

Water Resources Research

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[1] Lattice Boltzmann flow simulations provide a physics-based means of estimating intrinsic permeability from pore structure and accounting for inertial flow that leads to departures from Darcy's law. Simulations were used to compute intrinsic permeability where standard measurement methods may fail and to provide better understanding of departures from Darcy's law under field conditions. Simulations also investigated resolution issues. Computed tomography (CT) images were acquired at 0.8 mm interscan spacing for seven samples characterized by centimeter-scale biogenic vuggy macroporosity from the extremely transmissive sole-source carbonate karst Biscayne aquifer in southeastern Florida. Samples were as large as 0.3 m in length; 7-9 cm-scale-length subsamples were used for lattice Boltzmann computations. Macroporosity of the subsamples was as high as 81%. Matrix porosity was ignored in the simulations. Non-Darcy behavior led to a twofold reduction in apparent hydraulic conductivity as an applied hydraulic gradient increased to levels observed at regional scale within the Biscayne aquifer; larger reductions are expected under higher gradients near wells and canals. Thus, inertial flows and departures from Darcy's law may occur under field conditions. Changes in apparent hydraulic conductivity with changes in head gradient computed with the lattice Boltzmann model closely fit the Darcy-Forchheimer equation allowing estimation of the Forchheimer parameter. CT-scan resolution appeared adequate to capture intrinsic permeability ; however, departures from Darcy behavior were less detectable as resolution coarsened.

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Section: Methodsmentioning

confidence: 73%

Evaluation of permeability and non‐Darcy flow in vuggy macroporous limestone aquifer samples with lattice Boltzmann methods

Sukop

Huang

Alvarez

et al. 2013

Water Resources Research

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“…Using , the mean laminar hydraulic conductivity equals about 200,000 m d −1 . This simple equation for estimating laminar hydraulic conductivity compared favorably with results from a more complex method of lattice Boltzmann modeling of fluid flow through a specimen of the Biscayne aquifer [ Alvarez , 2007]. may overestimate the true values of horizontal hydraulic conductivity for preferential flow layers if the vugs are not circular and the roughness of the natural vugs is considerable.…”

Section: Methodsmentioning

confidence: 99%

Effects of turbulence on hydraulic heads and parameter sensitivities in preferential groundwater flow layers

Shoemaker

Cunningham

Kuniansky

et al. 2008

Water Resources Research

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[1] A conduit flow process (CFP) for the Modular Finite Difference Ground-Water Flow model, MODFLOW-2005, has been created by the U.S. Geological Survey. An application of the CFP on a carbonate aquifer in southern Florida is described; this application examines (1) the potential for turbulent groundwater flow and (2) the effects of turbulent flow on hydraulic heads and parameter sensitivities. Turbulent flow components were spatially extensive in preferential groundwater flow layers, with horizontal hydraulic conductivities of about 5,000,000 m d À1 , mean void diameters equal to about 3.5 cm, groundwater temperature equal to about 25°C, and critical Reynolds numbers less than or equal to 400. Turbulence either increased or decreased simulated heads from their laminar elevations. Specifically, head differences from laminar elevations ranged from about À18 to +27 cm and were explained by the magnitude of net flow to the finite difference model cell. Turbulence also affected the sensitivities of model parameters. Specifically, the composite-scaled sensitivities of horizontal hydraulic conductivities decreased by as much as 70% when turbulence was essentially removed. These hydraulic head and sensitivity differences due to turbulent groundwater flow highlight potential errors in models based on the equivalent porous media assumption, which assumes laminar flow in uniformly distributed void spaces.

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“…Different from Alvarez (2007), the accuracy of the LBM value of hydraulic conductivity (14.78 m/s) was confirmed by comparing it to the experimental value of hydraulic conductivity (13.1 m/s) on the same ML-01 core sample.…”

Section: T (•C)mentioning

confidence: 91%

Lattice Boltzmann Modeling and Specialized Laboratory Techniques to Determine the Permeability of Megaporous Karst Rock

Garcia¹

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Standard petrophysical laboratory techniques may not be capable of accurately measuring such high permeabilities. Instead, innovative procedures that can measure high permeabilities were applied. These fragile rocks cannot easily be cored or cut to shapes convenient for conducting permeability measurements. For the laboratory measurement, a 3D epoxy-resin printed rock core was produced from computed tomography data obtained from an outcrop sample. Permeability measurements were conducted using a viscous fluid to permit easily observable head gradients (~2 cm over 1 m) simultaneously with low Reynolds number flow. For a second permeability measurement, Lattice Boltzmann Method flow simulations were computed on the 3D core renderings.

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Lattice boltzmann modeling of fluid flow to determine the permeability of a karst specimen

Cited by 4 publications

References 0 publications

Evaluation of permeability and non‐Darcy flow in vuggy macroporous limestone aquifer samples with lattice Boltzmann methods

Evaluation of permeability and non‐Darcy flow in vuggy macroporous limestone aquifer samples with lattice Boltzmann methods

Effects of turbulence on hydraulic heads and parameter sensitivities in preferential groundwater flow layers

Lattice Boltzmann Modeling and Specialized Laboratory Techniques to Determine the Permeability of Megaporous Karst Rock

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