[1] |
U. Frisch, D. d’Humières, B. Hasslacher, P. Lallemand, Y. Pomeau, and J. Rivet, Lattice gas hydrodynamics in two and three dimensions,Complex Systems 1:649-707 (1987). · Zbl 0662.76101 |
[2] |
S. Crampin, Evidence for aligned cracks in the Earth’s crust,First Break 3:12-15 (1985). |
[3] |
M. Schoenberg and J. Douma, Elastic wave propagation in media with parallel fractures and aligned cracks,Geophys. Prospecting 36:571-590 (1988). · doi:10.1111/j.1365-2478.1988.tb02181.x |
[4] |
D. H. Johnston, M. N. Toksöz, and A. Timur, Attenuation of seismic waves in dry and saturated rocks: II. Mechanisms,Geophysics 44:691-711 (1979). · doi:10.1190/1.1440970 |
[5] |
D. d’Humières and P. Lallemand, Numerical simulations of hydrodynamics with lattice gas automata in two dimensions,Complex Systems 1:599-632 (1987). |
[6] |
J. P. Rivet, M. Hénon, U. Frisch, and D. d’Humières, Simulating fully three-dimensional external flow by lattice gas methods, inDiscrete Kinetic Theory, Lattice Gas Dynamics and Foundations of Hydrodynamics, R. Monaco, ed. (World Scientific, Singapore, 1988). |
[7] |
D Rothman, Cellular-automaton fluids: A model for flow in porous media,Geophysics 53:509-518. |
[8] |
D. Rothman, Modeling seismic P-waves with cellular automata,Geophys. Res. Lett. 14:17-20 (1987). · doi:10.1029/GL014i001p00017 |
[9] |
D. Rothman, Lattice-gas automata for immiscible two-phase flow, inDiscrete Kinetic Theory, Lattice Gas Dynamics and Foundations of Hydrodynamics, R. Monaco, ed. (World Scientific, Singapore, 1988). |
[10] |
J. I. Huang, Y. H. Chu, and C. S. Yin, Lattice gas automata for modeling acoustic wave propagation in inhomogeneous media,Geophys. Res. Lett. 15:1239-1241 (1988). · doi:10.1029/GL015i011p01239 |
[11] |
P. Mora and B. Maillot, Seismic modeling using the phononic lattice solid method, inExpanded Abstracts of the Society of Exploration Geophysicists Sixtieth Annual Meeting and Exposition (1990). |
[12] |
F. Muir, personal communication. |
[13] |
C. Kittel,Quantum Theory of Solids, 2nd rev. printing (Wiley, New York, 1987). |
[14] |
J. M. Ziman,Electrons and Phonons: The Theory of Transport Phenomena in Solids (Oxford University Press, Oxford, 1979). · Zbl 0088.24004 |
[15] |
L. D. Landau and E. M. Lifshitz,Course of Theoretical Physics, Vols. 3, 5, 9, and 10, (Pergamon Press). · Zbl 0080.19702 |
[16] |
S. Succi, R. Benzi, and F. Higuera, Lattice gas Boltzmann simulations of homogeneous and inhomogeneous hydrodynamics, inDiscrete Kinetic Theory, Lattice Gas Dynamics and Foundations of Hydrodynamics, R. Monaco, ed. (World Scientific, Singapore, 1988). |
[17] |
M. Hénon, Viscosity of a lattice gas,Complex Systems 1:762-789. · Zbl 1134.76011 |
[18] |
F. J. Higuera, Lattice gas simulation based on the Boltzmann equation, inDiscrete Kinetic Theory, Lattice Gas Dynamics and Foundations of Hydrodynamics, R. Monaco, ed. (World Scientific, Singapore, 1988). |
[19] |
P. Mora and B. Maillot, 1992, Numerical studies of the phononic lattice solid macroscopic limit,Phys. Rev. B, submitted. |
[20] |
P. Mora and B. Maillot, 1992, Acoustic theory of phononic lattice solids: A lattice gas like approach for modeling P-waves in inhomogeneous media,J. Geophys. Res., submitted. |
[21] |
C. A. J. Fletcher,Computational techniques for fluid dynamics, Vols. 1 and 2 (Springer-Verlag, 1988). · Zbl 0706.76001 |