Field-wide flow simulation in fractured porous media within lattice Boltzmann framework

Advances in Water Resources - Tập 96 - Trang 170-179 - 2016
Z. Benamram1, A. Tarakanov1, H. Nasrabadi1, E. Gildin1
1Texas A&M University, Harold Vance Department of Petroleum Engineering, 3116 TAMU College Station, TX 77843-3116, United States

Tài liệu tham khảo

Anwar, 2008 Aziz, 1979 Bhatnagar, 1954, A model for collision processes in gases. i. small amplitude processes in charged and neutral one-component systems, Phys. Rev., 94, 511, 10.1103/PhysRev.94.511 Boltzmann, L. 1964. Lectures on Gas Theory, University of California Press. Chapman, 1960, The mathematical theory of non-uniform gases: an account of the kinetic theory of viscosity Cipolla, 2016, Reservoir modeling in shale-gas reservoirs, SPE J. Dake, 1978 Dardis, 1998, Lattice Boltzmann scheme with real numbered solid density for the simulation of flow in porous media, Phys. Rev. E, 57, 4834, 10.1103/PhysRevE.57.4834 Forchheimer, 2016, Wasserbewegung durch boden, Zeitschrift des Vereines Deutscher Ingenieuer Freed, 1998, Lattice-Boltzmann method for macroscopic porous media modeling, Int. J. Modern Phys. C, 09, 1491, 10.1142/S0129183198001357 Fuentes-Cruz, 2016, Analyzing production data from hydraulically fractured wells: the concept of induced permeability field Guo, 2002, Discrete lattice effects on the forcing term in the lattice Boltzmann method, Phys. Rev. E, 65, 10.1103/PhysRevE.65.046308 Guo, 2002, Lattice Boltzmann model for incompressible flows through porous media, Phys. Rev. E, 66, 10.1103/PhysRevE.66.036304 Joshi, 1988, Augmentation of well productivity with slant and horizontal wells, J. Pet. Technol., 729, 10.2118/15375-PA Kandhai, 2016, Lattice-Boltzmann hydrodynamics on parallel systems, Comput. Phys. Commun., 111 King, 2016, Thirty years of gas shale fracturing: what have we learned? Lallemand, 2000, Theory of the lattice Boltzmann method: dispersion, dissipation, isotropy, galilean invariance, and stability, Phys. Rev. E, 61, 6546, 10.1103/PhysRevE.61.6546 Laniewski-Wollk, 2016, Adjoint lattice Boltzmann for topology optimization on multi-gpu architecture, Comput. Math. Appl. Liu, 2016, Critical hydraulic gradient for nonlinear flow through rock fracture networks: the roles of aperture, surface roughness, and number of intersections, Adv. Water Resour., 88, 53, 10.1016/j.advwatres.2015.12.002 Mayerhofer, 2016, Integration of microseismic-fracture-mapping results with numerical fracture network production modeling in the barnett shale McClure, 2016, Fully coupled hydromechanical simulation of hydraulic fracturing in 3D discrete-fracture networks, SPE J., 10.2118/173354-PA Moortgat, 2010, Higher-order compositional modeling with fickian diffusion in unstructured and anisotropic media, Adv. Water Resour., 33, 951, 10.1016/j.advwatres.2010.04.012 Nordahl, 2008, Identifying the representative elementary volume for permeability inheterolithic deposits using numerical rock models, Math. Geosci., 40, 753, 10.1007/s11004-008-9182-4 Punzo, 1994, High-resolution lattice-Boltzmann computing on the IBM SP1 scalable parallel computer, Comput. Phys., 8, 705, 10.1063/1.168487 Schlumberger Spaid, 1997, Lattice boltzmann methods for modeling microscale flow in fibrous porous media, Phys. Fluids, 9, 2468, 10.1063/1.869392 Spe comparative solution project 2001. URL: http://www.spe.org/web/csp/. Succi, 1989, Three-dimensional flows in complex geometries with the lattice Boltzmann method, EPL (Europhys. Lett.), 10, 433, 10.1209/0295-5075/10/5/008 Succi, 2001 Warpinski, 2016, Influence of geologic discontinuities on hydraulic fracture propagation, J. Pet. Technol., 39 Wolf-Gladrow, 2000 Wolowicz, 1979, Similitude requirements and scaling relationships as applied to model testing Zidane, 2014, An efficient numerical model for multicomponent compressible flow in fractured porous media, Adv. Water Resour., 74, 127, 10.1016/j.advwatres.2014.08.010 Q. Zou, X. He, On pressure and velocity boundary conditions for the lattice Boltzmann BGK model, American Institute of Physics: Physics of Fluids.2016