Permeability-porosity transforms from small sandstone fragments

Numerical simulation of laboratory experiments on rocks, or digital rock physics, is an emerging field that may eventually benefit the petroleum industry. For numerical experimentation to find its way into the mainstream, it must be practical and easily repeatable — i.e., implemented on standard hardware and in real time. This condition reduces the size of a digital sample to just a few grains across. Also, small physical fragments of rock, such as cuttings, may be the only material available to produce digital images. Will the results be meaningful for a larger rock volume? To address this question, we use a number of natural and artificial medium- to high-porosity, well-sorted sandstones. The 3D microtomography volumes are obtained from each physical sample. Then, analogous to making thin sections of drill cuttings, we select a large number of small 2D slices from a 3D scan. As a result, a single physical sample produces hundreds of 2D virtual-drill-cuttings images. Corresponding 3D pore-space realizati...

[1]  Y. Keehm,et al.  Permeability prediction from thin sections: 3D reconstruction and Lattice‐Boltzmann flow simulation , 2004 .

[2]  Y. Keehm,et al.  Permeability And Relative Permeability From Digital Rocks: Issues On Grid Resolution And Representative Elementary Volume , 2004 .

[3]  Robert W. Zimmerman,et al.  Predicting the permeability of sandstone from image analysis of pore structure , 2002 .

[4]  S. Bakke,et al.  Process Based Reconstruction of Sandstones and Prediction of Transport Properties , 2002 .

[5]  Sebastien Strebelle,et al.  Conditional Simulation of Complex Geological Structures Using Multiple-Point Statistics , 2002 .

[6]  Christoph H. Arns,et al.  Accurate estimation of transport properties from microtomographic images , 2001 .

[7]  R. Hilfer,et al.  Permeability and conductivity for reconstruction models of porous media. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  C M Care,et al.  Lattice Boltzmann equation hydrodynamics. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  Tapan Mukerji,et al.  Computational rock physics at the pore scale: Transport properties and diagenesis in realistic pore geometries , 2001 .

[10]  A. Journel,et al.  Reservoir Modeling Using Multiple-Point Statistics , 2001 .

[11]  S. Torquato,et al.  Stochastic reconstruction of sandstones , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[12]  John G. Hagedorn,et al.  Large-scale simulations of single- and multicomponent flow in porous media , 1999, Optics & Photonics.

[13]  John G. Hagedorn,et al.  Large Scale Simulations of Single and Multi-Component Flow in Porous Media | NIST , 1999 .

[14]  R. M. O'Connor,et al.  Microscale flow modelling in geologic materials , 1999 .

[15]  S. Torquato,et al.  Reconstructing random media. II. Three-dimensional media from two-dimensional cuts , 1998 .

[16]  William J. Bosl,et al.  A study of porosity and permeability using a lattice Boltzmann simulation , 1998 .

[17]  A. Hoekstra,et al.  Permeability of Three-Dimensional Random Fiber Webs , 1998 .

[18]  James M. Keller,et al.  Lattice-Gas Cellular Automata: Inviscid two-dimensional lattice-gas hydrodynamics , 1997 .

[19]  Gary Mavko,et al.  The effect of a percolation threshold in the Kozeny‐Carman relation , 1997 .

[20]  Daniel H. Rothman,et al.  Lattice-Gas Cellular Automata: Simple Models of Complex Hydrodynamics , 1997 .

[21]  S. Bakke,et al.  3-D Pore-Scale Modelling of Sandstones and Flow Simulations in the Pore Networks , 1997 .

[22]  Robert S. Bernard,et al.  Boundary conditions for the lattice Boltzmann method , 1996 .

[23]  Nicos Martys,et al.  Transport in sandstone: A study based on three dimensional microtomography , 1996 .

[24]  Chen,et al.  Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[25]  Takaji Inamuro,et al.  A NON-SLIP BOUNDARY CONDITION FOR LATTICE BOLTZMANN SIMULATIONS , 1995, comp-gas/9508002.

[26]  A. Ladd Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation , 1993, Journal of Fluid Mechanics.

[27]  Clayton V. Deutsch,et al.  GSLIB: Geostatistical Software Library and User's Guide , 1993 .

[28]  Matthaeus,et al.  Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[29]  J. Berryman,et al.  Chapter 7 Permeability and Relative Permeability in Rocks , 1992 .

[30]  Pierre M. Adler,et al.  Flow in simulated porous media , 1990 .

[31]  G. Gambolati,et al.  A direct computation of the permeability of three-dimensional porous media. , 1990 .

[32]  Frisch,et al.  Lattice gas automata for the Navier-Stokes equations. a new approach to hydrodynamics and turbulence , 1989 .

[33]  B. Zinszner,et al.  Hydraulic and acoustic properties as a function of porosity in Fontainebleau Sandstone , 1985 .

[34]  J. L. Finney,et al.  Random packings and the structure of simple liquids. I. The geometry of random close packing , 1970, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[35]  A. Timur,et al.  An Investigation Of Permeability, Porosity, & Residual Water Saturation Relationships For Sandstone Reservoirs , 1968 .

[36]  J. Machefer,et al.  L'écoulement des gaz a travers les milieux poreux , 1961 .

[37]  Walter Rose,et al.  Some Theoretical Considerations Related To The Quantitative Evaluation Of The Physical Characteristics Of Reservoir Rock From Electrical Log Data , 1950 .

[38]  Tixier Maurice Pierre Evaluation of permeability from electric-log resistivity gradient , 1949 .