Technical Papers
May 29, 2017

A Computational-Experimental Method to Determine the Effective Diffusivity of Asphalt Concrete

Publication: Journal of Engineering Mechanics
Volume 143, Issue 9

Abstract

This study utilizes a computational-experimental method to determine the effective oxygen diffusivity of asphalt concrete based on diffusivities of its constituents, i.e., air void, aggregate, and asphalt binder phases. The proposed method enables the estimation of oxygen diffusivity of asphalt concrete, which is very challenging, if not impossible, to determine experimentally, and addresses various controversial factors, such as consideration of accurate microstructures, high contrast in properties of constituents, and high volume fraction of aggregates. Random particle generation algorithm and X-ray computed tomography techniques are used to reconstruct realistic microstructural representation of asphalt concrete materials. Then, finite-element (FE) diffusion simulations are used and the results are compared with closed-form solutions to estimate the effective oxygen diffusivity. Capabilities of the proposed method are illustrated by comparing the simulation results with relevant analytical solutions, rigorous bounds, and available experimental measurements regarding oxygen diffusivity of fine aggregate matrix (FAM) of asphalt concrete. Finally, the proposed technique is used to simulate two-dimensional oxygen diffusion problem in a dense-graded asphalt concrete.

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Acknowledgments

The authors acknowledge the funding by Qatar National Research Fund (QNRF) through Grant NPRP_4-789-2-293. The authors also acknowledge the financial support provided by the Asphalt Research Consortium through the U.S. Federal Highway Administration.

References

Abdalrahman, T., Scheiner, S., and Hellmich, C. (2015). “Is trabecular bone permeability governed by molecular ordering-induced fluid viscosity gain? Arguments from re-evaluation of experimental data in the framework of homogenization theory.” J. Theor. Biol., 365(1), 433–444.
Adams, D. F., and Crane, D. A. (1984). “Finite-element micromechanical analysis of a unidirectional composite including longitudinal shear loading.” Comput. Struct., 18(6), 1153–1165.
Ahmadi, M. M., Mohammadi, S., and Hayati, A. N. (2011). “Analytical derivation of tortuosity and permeability of monosized spheres: A volume averaging approach.” Phys. Rev. E, 83(2), 026312.
Al-Omari, A., Tashman, L., Masad, E., Cooley, A., and Harman, T. (2002). “Proposed methodology for predicting HMA permeability.” J. Assoc. Asphalt Paving Technol., 71(1), 30–58.
Bazant, Z. P., and Novak, D. (2003). “Stochastic models for deformation and failure of quasibrittle structures: Recent advances and new directions.” Computational Modelling of Concrete Structures (Proc., EURO-C Conf., St. Johann im Pongau, Austria), N. Bicanic, R. de Borst, H. Mang, and G. Meschke, eds., A.A. Balkema, Lisse, Netherlands, 583–598.
Bruna, M., and Chapman, S. J. (2015). “Diffusion in spatially varying porous media.” SIAM J. Appl. Math., 75(4), 1648–1674.
Carslaw, H. S. (1986). Conduction of heat in solids, Oxford University Press, New York.
Clague, D. S., and Phillips, R. J. (1997). “A numerical calculation of the hydraulic permeability of three-dimensional disordered fibrous media.” Phys. Fluids, 9(6), 1562–1572.
Desbarats, A. J. (1987). “Numerical estimation of effective permeability in sand-shale formations.” Water Resour. Res., 23(2), 273–286.
Dormieux, L., and Lemarchand, E. (2001). “Homogenization approach of advection and diffusion in cracked porous material.” J. Eng. Mech., 1267–1274.
Freytag, I., and Roque, W. L. (2013). “Influence of granular packing on porosity and tortuosity.” Phys. Rev. E, 88(2), 023011.
Gibiansky, L. V., and Milton, G. W. (1993). “On the effective viscoelastic moduli of 2-phase media. 1: Rigorous bounds on the complex bulk modulus.” Proc. R. Soc. London Ser. A, 440(1908), 163–188.
Guibert, R., Horgue, P., Debenest, G., and Quintard, M. (2016). “A comparison of various methods for the numerical evaluation of porous media permeability tensors from pore-scale geometry.” Math. Geosci., 48(3), 329–347.
Guibert, R., Nazarova, M., Horgue, P., Hamon, G., Creux, P., and Debenest, G. (2015). “Computational permeability determination from pore-scale imaging: Sample size, mesh and method sensitivities.” Transp. Porous Media, 107(3), 641–656.
Gusev, A. A. (1997). “Representative volume element size for elastic composites: A numerical study.” J. Mech. Phys. Solids, 45(9), 1449–1459.
Hamilton, R. L., and Crosser, O. K. (1962). “Thermal conductivity of heterogeneous 2-component systems.” Ind. Eng. Chem. Fundam., 1(3), 187–191.
Han, R., Jin, X., and Glover, C. J. (2013). “Oxygen diffusivity in asphalts and mastics.” Petrol. Sci. Technol., 31(15), 1563–1573.
Hashin, Z. (1983). “Analysis of composite-materials—A survey.” J. Appl. Mech. Trans., 50(3), 481–505.
Hashin, Z., and Shtrikman, S. (1962). “A variational approach to the theory of the effective magnetic permeability of multiphase materials.” J. Appl. Phys., 33(10), 3125–3131.
Hayati, A. N., Ahmadi, M. M., and Mohammadi, S. (2012). “How particle shape affects the flow through granular materials.” Phys. Rev. E, 85(3), 036310.
Herrington, P. R. (2012). “Diffusion and reaction of oxygen in bitumen films.” Fuel, 94(1), 86–92.
Hussain, M., Tian, E., Cao, T. F., and Tao, W. Q. (2015). “Pore-scale modeling of effective diffusion coefficient of building materials.” Int. J. Heat Mass Transfer, 90(1), 1266–1274.
Jaganathan, S., Tafreshi, H. V., and Pourdeyhimi, B. (2008). “A realistic approach for modeling permeability of fibrous media: 3D imaging coupled with CFD simulation.” Chem. Eng. Sci., 63(1), 244–252.
Jin, X., Cui, Y., and Glover, C. J. (2013). “Modeling asphalt oxidation in pavement with field validation.” Petrol. Sci. Technol., 31(13), 1398–1405.
Johannesson, H., and Halle, B. (1996). “Solvent diffusion in ordered macrofluids: A stochastic simulation study of the obstruction effect.” J. Chem. Phys., 104(17), 6807–6817.
Kanit, T., Forest, S., Galliet, I., Mounoury, V., and Jeulin, D. (2003). “Determination of the size of the representative volume element for random composites: Statistical and numerical approach.” Int. J. Solids Struct., 40(13–14), 3647–3679.
Khirevich, S., Holtzel, A., Daneyko, A., Seidel-Morgenstern, A., and Tallarek, U. (2011). “Structure-transport correlation for the diffusive tortuosity of bulk, monodisperse, random sphere packings.” J. Chromatogr. A, 1218(37), 6489–6497.
Kim, S. M. (2010). “Continuum-based multiscale computational damage modeling of cementitious composites.” Ph.D. dissertation, Texas A&M Univ., College Station, TX.
Koivu, V., et al. (2009). “Transport properties of heterogeneous materials. Combining computerised X-ray micro-tomography and direct numerical simulations.” Int. J. Comput. Fluid Dyn., 23(10), 713–721.
Krajcinovic, D., and Lemaître, J. (1987). Continuum damage mechanics: Theory and applications, Springer, New York.
Lado, F., and Torquato, S. (1986). “Effective properties of 2-phase disordered composite media. 1: Simplification of bounds on the conductivity and bulk modulus of dispersions of impenetrable spheres.” Phy. Rev. B, 33(5), 3370–3378.
Masad, E., Somadevan, N., Bahia, H., and Kose, S. (2001). “Modeling and experimental measurements of strain distribution in asphalt mixes.” J. Transp. Eng., 477–485.
Mier, J. G. M. (1997). Fracture processes of concrete: Assessment of material parameters for fracture models, CRC Press, Boca Raton, FL.
Mier, J. G. M. (2001). “Microstructural effects on fracture scaling in concrete, rock and ice.” Lutam Symp. on Scaling Laws in Ice Mechanics and Ice Dynamics, J. P. Dempsey and H. H. Shen, eds., Springer, Dordrecht, Netherlands, 171–182.
Miller, C. A., and Torquato, S. (1990). “Effective conductivity of hard-sphere dispersions.” J. Appl. Phys., 68(11), 5486–5493.
Milton, G. W. (1981). “Bounds on the transport and optical properties of a two-component composite material.” J. Appl. Phys., 52(8), 5294–5304.
Pivonka, P., Hellmich, C., and Smith, D. (2004). “Microscopic effects on chloride diffusivity of cement pastes—A scale-transition analysis.” Cem. Concr. Res., 34(12), 2251–2260.
Povirk, G. L. (1995). “Incorporation of microstructural information into models of 2-phase materials.” Acta Metallurgica Et Materialia, 43(8), 3199–3206.
Rahmani, E., Darabi, M. K., Little, D. N., and Masad, E. A. (2017). “Constitutive modeling of coupled aging-viscoelastic response of asphalt concrete.” Constr. Build. Mater., 131(1), 1–15.
Rayleigh, L. (1892). “On the influence of obstacles arranged in rectangular order upon the properties of a medium.” Philos. Mag. Ser., 34(211), 481–502.
Roberts, A. P., and Garboczi, E. J. (2000). “Elastic properties of model porous ceramics.” J. Am. Ceram. Soc., 83(12), 3041–3048.
Roberts, A. P., and Teubner, M. (1995). “Transport-properties of heterogeneous materials derived from Gaussian random-fields—Bounds and simulation.” Phy. Rev. E, 51(5), 4141–4154.
Sheikh, B., and Pak, A. (2015). “Numerical investigation of the effects of porosity and tortuosity on soil permeability using coupled three-dimensional discrete-element method and lattice Boltzmann method.” Phy. Rev. E, 91(5), 053301.
Sun, C. T., and Vaidya, R. S. (1996). “Prediction of composite properties, from a representative volume element.” Compos. Sci. Technol., 56(2), 171–179.
Sun, Z. F., Tang, X. W., and Cheng, G. C. (2013). “Numerical simulation for tortuosity of porous media.” Microporous Mesoporous Mater., 173, 37–42.
Torquato, S., and Lado, F. (1986). “Effective properties of 2-phase disordered composite media. 2: Evaluation of bounds on the conductivity and bulk modulus of dispersions of impenetrable spheres.” Phy. Rev. B, 33(9), 6428–6435.
Wang, B. Y., Jin, Y., Chen, Q., Zheng, J. L., Zhu, Y. B., and Zhang, X. B. (2014). “Derivation of permeability-pore relationship for fractal porous reservoirs using series-parallel flow resistance model and lattice Boltzmann method.” Fractals, 22(3), 1440005.
Wang, M., and Pan, N. (2008). “Predictions of effective physical properties of complex multiphase materials.” Mater. Sci. Eng. R: Rep., 63(1), 1–30.
Weissberg, H. L. (1963). “Effective diffusion coefficient in porous media.” J. Appl. Phys., 34(9), 2636–2639.
You, T. S., Abu Al-Rub, R. K., Darabi, M. K., Masad, E. A., and Little, D. N. (2012). “Three-dimensional microstructural modeling of asphalt concrete using a unified viscoelastic-viscoplastic-viscodamage model.” Constr. Build. Mater., 28(1), 531–548.
Zeman, J., and Sejnoha, M. (2001). “Numerical evaluation of effective elastic properties of graphite fiber tow impregnated by polymer matrix.” J. Mech. Phys. Solids, 49(1), 69–90.
Zhang, W. C., and Evans, K. E. (1988). “Numerical prediction of the mechanical-properties of anisotropic composite-materials.” Comput. Struct., 29(3), 413–422.
Zhdanov, V. G., and Starov, V. M. (2002). “Calculation of the effective properties of porous and composite materials.” Colloid J., 64(6), 706–715.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 143Issue 9September 2017

History

Received: Jun 1, 2016
Accepted: Feb 2, 2017
Published online: May 29, 2017
Published in print: Sep 1, 2017
Discussion open until: Oct 29, 2017

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Authors

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Masoud K. Darabi, M.ASCE [email protected]
Assistant Professor, Dept. of Civil, Environmental and Architectural Engineering, Univ. of Kansas, Lawrence, KS 66045 (corresponding author). E-mail: [email protected]; [email protected]
Eisa Rahmani
Researcher, Wiss, Janney, Elstner Associates, Inc., 10 S LaSalle St., Chicago, IL 60603.
Dallas N. Little, Dist.M.ASCE
Professor, Zachry Dept. of Civil Engineering, Texas A&M Univ., College Station, TX 77843.
Eyad A. Masad
Mechanical Engineering Program, Texas A&M Univ. at Qatar, Doha, Qatar.
John F. Rushing
Researcher, U.S. Army Research and Development Center CEERD-GM-A, 3909 Halls Ferry Rd., Vicksburg, MS 39180.

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