Transport properties of a Bentheim sandstone under deformation.

The mechanical and transport properties of a Bentheim sandstone are studied both experimentally and numerically. Three classical classes of loads are applied to a sample whose permeability is measured. The elasticity and the Stokes equations are discretized on unstructured tetrahedral meshes which precisely follow the deformations of the sample. Numerical results are presented, discussed, and compared to the available experimental data.

[1]  James G. Berryman,et al.  Variational bounds on elastic constants for the penetrable sphere model , 1985 .

[2]  James G. Berryman,et al.  Effective stress for transport properties of inhomogeneous porous rock , 1992 .

[3]  T. Mukerji,et al.  The Rock Physics Handbook: Contents , 2009 .

[4]  Emmanuelle Klein,et al.  Mechanical behaviour and failure mode of bentheim sandstone under triaxial compression , 2001 .

[5]  Graeme W. Milton,et al.  Bounds on the Electromagnetic, Elastic, and Other Properties of Two-Component Composites , 1981 .

[6]  R. Hilfer,et al.  Three-dimensional local porosity analysis of porous media , 1998, cond-mat/9803012.

[7]  Christoph H. Arns,et al.  Computation of linear elastic properties from microtomographic images: Methodology and agreement between theory and experiment , 2002 .

[8]  S. Youssef,et al.  Stress-Dependent Directional Permeabilities of Two Analog Reservoir Rocks: A Prospective Study on Contribution of µ-Tomography and Pore Network Models , 2009 .

[9]  Pierre M. Adler,et al.  Computerized characterization of the geometry of real porous media: their discretization, analysis and interpretation , 1993 .

[10]  J. Thovert,et al.  Grain reconstruction of porous media: application to a Bentheim sandstone. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  C. David,et al.  Comparison of the anisotropic behaviour of undeformed sandstones under dry and saturated conditions , 2003 .

[12]  H. Gerçek,et al.  Poisson's ratio values for rocks , 2007 .

[13]  D. Weidner,et al.  Structure and elastic properties of quartz at pressure , 1980 .

[14]  Pierre M. Adler,et al.  FRACTURE DEFORMATION AND INFLUENCE ON PERMEABILITY , 1997 .

[15]  J. Thovert,et al.  Grain reconstruction of porous media: application to a low-porosity Fontainebleau sandstone. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  Minh Tan Vu,et al.  Reactive transport in porous media: pore-network model approach compared to pore-scale model. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[18]  J. Thovert,et al.  Thermal conductivity of random media and regular fractals , 1990 .

[19]  Pierre M. Adler,et al.  Fractal porous media IV: Three-dimensional stokes flow through random media and regular fractals , 1990 .

[20]  J. Thovert,et al.  Wave propagation through saturated porous media. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  P. Meredith,et al.  Pore fabric shape anisotropy in porous sandstones and its relation to elastic wave velocity and permeability anisotropy under hydrostatic pressure. , 2005 .

[22]  S. Shtrikman,et al.  A variational approach to the theory of the elastic behaviour of multiphase materials , 1963 .

[23]  Pierre M. Adler,et al.  Pressure drawdown well tests in fractured porous media , 2003 .

[24]  Rasmus Risnes,et al.  End effects on stress dependent permeability measurements , 2006 .

[25]  Beatriz Menéndez,et al.  Microstructural control on the anisotropy of elastic and transport properties in undeformed sandstones , 2005 .