Physics and Seismic Modeling for Monitoring CO2 Storage

We present a new petro-elastical and numerical-simulation methodology to compute synthetic seismograms for reservoirs subject to CO2 sequestration. The petro-elastical equations model the seismic properties of reservoir rocks saturated with CO2, methane, oil and brine. The gas properties are obtained from the van der Waals equation and we take into account the absorption of gas by oil and brine, as a function of the in situ pore pressure and temperature. The dry-rock bulk and shear moduli can be obtained either by calibration from real data or by using rock-physics models based on the Hertz-Mindlin and Hashin-Shtrikman theories. Mesoscopic attenuation due to fluids effects is quantified by using White's model of patchy saturation, and the wet-rock velocities are calculated with Gassmann equations by using an effective fluid modulus to describe the velocities predicted by White's model. The simulations are performed with a poro-viscoelastic modeling code based on Biot's theory, where viscoelasticity is described by generalizing the solid/fluid coupling modulus to a relaxation function. Using the pseudo-spectral method, which allows general material variability, a complete and accurate characterization of the reservoir can be obtained. A simulation, that considers the Utsira sand of the North Sea, illustrates the methodology.

[1]  William A. Wakeham,et al.  A New Equation of State for Carbon Dioxide Covering the Fluid Region from the Triple-Point Temperature to 1100 K at Pressures up to 800 MPa , 1998 .

[2]  L. V. D. Meer,et al.  Monitoring of CO2 injected at Sleipner using time-lapse seismic data , 2004 .

[3]  M. B. Standing,et al.  Volumetric and phase behavior of oil field hydrocarbon systems , 1952 .

[4]  J. Carcione,et al.  Acoustic properties of sediments saturated with gas hydrate, free gas and water , 2003 .

[5]  Géza Seriani,et al.  Acoustic and electromagnetic properties of soils saturated with salt water and NAPL , 2003 .

[6]  José M. Carcione,et al.  Wave propagation in partially saturated porous media: simulation of a second slow wave , 2004 .

[7]  W. Wagner,et al.  A New Equation of State for Carbon Dioxide Covering the Fluid Region from the Triple‐Point Temperature to 1100 K at Pressures up to 800 MPa , 1996 .

[8]  Karsten Pruess,et al.  Numerical Modeling of Aquifer Disposal of CO2 , 2001 .

[9]  M. S. King,et al.  Biot dispersion for P‐ and S‐wave velocities in partially and fully saturated sandstones , 2000 .

[10]  L. F. Athy Density, Porosity, and Compaction of Sedimentary Rocks , 1930 .

[11]  J. White,et al.  Computed seismic speeds and attenuation in rocks with partial gas saturation , 1975 .

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

[13]  C. R. Dodson,et al.  Pressure-Volume-Temperature And Solubility Relations For Natural-Gas-Water Mixtures , 1944 .

[14]  José M. Carcione,et al.  White's model for wave propagation in partially saturated rocks: Comparison with poroelastic numerical experiments , 2003 .

[15]  A. Nur,et al.  Elasticity of High-porosity Sandstones: Theory For Two North Sea Datasets , 1995 .

[16]  G. Michael Hoversten,et al.  Pressure and fluid saturation prediction in a multicomponent reservoir, using combined seismic and electromagnetic imaging , 2002 .

[17]  José M. Carcione,et al.  Note: Numerical Solution of the Poroviscoelastic Wave Equation on a Staggered Mesh , 1999 .

[18]  D. Janecky,et al.  Carbon dioxide reaction processes in a model brine aquifer at 200 °C and 200 bars: implications for geologic sequestration of carbon , 2003 .

[19]  Ola Eiken,et al.  Seismic Monitoring of CO2 Injected Into a Marine Acquifer , 2000 .

[20]  M. Biot MECHANICS OF DEFORMATION AND ACOUSTIC PROPAGATION IN POROUS MEDIA , 1962 .

[21]  A. Marsala,et al.  Shear sonic interpretation in gas-bearing sands , 1995 .

[22]  J. Gallagher,et al.  Pressure-Volume-Temperature Relationships of Gases Virial Coefficients , 1971 .

[23]  S. Shapiro,et al.  Stress sensitivity of elastic moduli and electrical resistivity in porous rocks , 2004 .

[24]  Curtis M. Oldenburg,et al.  Carbon Dioxide as Cushion Gas for Natural Gas Storage , 2003 .

[25]  R. Reid,et al.  The Properties of Gases and Liquids , 1977 .

[26]  J. Carcione,et al.  A constitutive equation and generalized Gassmann modulus for multimineral porous media , 2005 .

[27]  Michael E. Cates,et al.  Seismic monitoring of a CO2 flood in a carbonate reservoir: A rock physics study , 1998 .

[28]  Amos Nur,et al.  Elasticity of high‐porosity sandstones: Theory for two North Sea data sets , 1996 .

[29]  M. Prasad,et al.  Effects of pore and differential pressure on compressional wave velocity and quality factor in Berea and Michigan sandstones , 1997 .

[30]  James G. Berryman,et al.  Seismic attenuation due to wave-induced flow , 2004 .

[31]  José M. Carcione,et al.  Gas generation and overpressure: Effects on seismic attributes , 2000 .

[32]  T. Mukerji,et al.  The Rock Physics Handbook , 1998 .

[33]  Zhijing Wang,et al.  Seismic properties of pore fluids , 1992 .

[34]  Amyn S. Teja,et al.  Generalized corresponding states method for the viscosities of liquid mixtures , 1981 .

[35]  Thierry Cadoret,et al.  Influence of frequency and fluid distribution on elastic wave velocities in partially saturated limestones , 1995 .

[36]  José M. Carcione,et al.  Wave propagation in anisotropic, saturated porous media: Plane‐wave theory and numerical simulation , 1996 .

[37]  R. Færseth Interaction of Permo-Triassic and Jurassic extensional fault-blocks during the development of the northern North Sea , 1996, Journal of the Geological Society.

[38]  Takashi Ohsumi,et al.  Seismic wave monitoring of CO2 migration in water-saturated porous sandstone , 2004 .

[39]  J. Carcione,et al.  The seismic response to overpressure: a modelling study based on laboratory, well and seismic data , 2001 .