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(1) Length scales relating the fluid permeability and electrical conductivity in random two-dimensional porous media. (15 pages of text, 991K of figures)
(2) Intrinsic viscosity and polarizability of particles having a wide range of shapes (57 pages of text, 46K of figures)
(3) Large scale simulations of single and multi-component flow in porous media (14 pages of text, 112K of figures)
(4) Diffusion in partially-saturated porous materials (12 pages of text, 425K of figures)
(5) Energy conserving discrete Boltzmann equation for non-ideal systems (14 pages of text, 60K of figures)
(6a) Critical properties and phase separation in lattice Boltzmann fluid mixtures (18 pages of text, 726K of figures)(6b) Breakup of a fluid thread in a confined geometry: droplet-plug transition, perturbation sensitivity, and kinetic stabilization with confinement (18 pages of text, 325K of figures)
(7a) Multiscale modeling of fluid transport in heterogeneous materials using discrete Boltzmann methods (9 pages of text, 183.5K of figures)
We show that accurate numerical micropermeametry can be performed on three- dimensional (3D) digitized images of sedimentary rock. The sample size can be very small, making it possible to predict properties from core material not suited for laboratory testing (e.g., drill cuttings, sidewall core and damaged core plugs). Simulation of fluid permeability on microtomographic images of Fontainbleau sandstone on sample sizes of less than 1 mm3 are in good agreement with experimental measurements over a wide range of porosities.(7b) Virtual permeametry on microtomographic images (6 pages of text, 356.9K of figures)
We investigate the stability of a polymer thread imbedded in a matrix that is confined between two parallel plates. Utilizing a combination of experiments, numerical simulations (lattice-Boltzmann), and surface area calculations, we find substantial deviations from the classical results when the diameter of the thread (D0 is comparable to the height (H) of the matrix.
(8) Suppression of Capillary Instability of a Polymeric Thread via Parallel Plate Confinement (9 pages of text, 572K of figures)
A thermodynamic model is developed of the free energy of gas-filled voids formed within cavities on solid surfaces covered by a liquid. Capillary effects are assumed to be the only important contributions to the free energy, and expressions are derived for the free energy of the system as a function of the void size, the relative surface free energy densities involved, and the geometry of the cavity.(9) Stability of voids formed in cavities at liquid-solid interfaces (9 pages of text, 96.1K of figures)
Go back to Part III Chapter 5: Conductivity
(1) N.S. Martys and E.J. Garboczi, Physical Review B 46, 6080-6090 (1992).
(2) J.F. Douglas and E.J. Garboczi, Advances in Chemical Physics 91, 85-153 (1995).
(3) N.S. Martys, J.G. Hagedorn, D. Goujon, and J.E. Devaney, SPIE (1999).
(4) N.S. Martys, Materials and Structures 32, 555-562 (1999).
(5) N.S. Martys, Int. J. Mod. Phys. 10, 1367-1382 (1999).
(6a) N.S. Martys, J.F. Douglas, Physical Review E, 63 (2001).
(6b) J.G. Hagedorn, N.S. Martys and J.F. Douglas, Physical Review E, 69 (5), Article No. 056312, May (2004).
(7a) N.S. Martys and J.G. Hagedorn, Materials and Structures 35, 650-659 (2002).
(7b) C.H. Arns, M.A. Knackstedt, V.W. Pinczewski and N.S. Martys, Journal of Petroleum Science and Engineering, 45 (1-2), 41-46 (2004).
(8) Y. Son, N.S. Martys, J.G. Hagedorn, and K.B. Migler, Macromolecules 36 (15), 5825-5833 (2003).
(9) J. Bullard, Journal of Colloid and Interface Science, 276 (1), 188-196 (2004).