Wave propagation in partially saturated porous media: simulation of a second slow wave

Carcione, José M.; Cavallini, F.; Santos, Juan E.; Ravazzoli, Claudia L.; Gauzellino, Patricia Mercedes

doi:10.1016/j.wavemoti.2003.10.001

Cited by 59 publications

(20 citation statements)

References 24 publications

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“…An extension of the poroelastic code to the anisotropic case is available (CARCIONE, 1996), which can be useful to model effective (fine-layering), stress-induced (compaction) and crack-or fracture-induced anisotropy. The inclusion of S-wave attenuation can be performed by generalizing the shear modulus to a time-dependent relaxation function (CARCIONE et al, 2004). The computation of the spatial derivatives is performed with the staggered pseudospectral technique, which is noise-free in the dynamic range where regular grids generate artifacts that may have amplitudes similar to those of physical arrivals.…”

Section: Numerical Seismic Modelingmentioning

confidence: 99%

Physics and Seismic Modeling for Monitoring CO2 Storage

Carcione

Picotti

Gei

et al. 2006

Pure appl. geophys.

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105

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We present a new petro-elastical and numerical-simulation methodology to compute synthetic seismograms for reservoirs subject to CO 2 sequestration. The petro-elastical equations model the seismic properties of reservoir rocks saturated with CO 2 , 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.

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Section: Numerical Seismic Modelingmentioning

confidence: 99%

Physics and Seismic Modeling for Monitoring CO2 Storage

Carcione

Picotti

Gei

et al. 2006

Pure appl. geophys.

Self Cite

150

105

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“…This algorithm is applied to perform numerical experiments in a real sandstone saturated by two fluids (gas-water). In previous works we dealt with homogeneous models [10,41,42], in which we verified numerically the propagation of fast and slow waves in this kind of media.…”

Section: Introductionmentioning

confidence: 88%

Numerical simulation of ultrasonic waves in reservoir rocks with patchy saturation and fractal petrophysical properties

et al. 2005

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We simulate the propagation of ultrasonic waves in heterogeneous poroviscoelastic media saturated by immiscible fluids. Our model takes into account capillary forces and viscous and mass coupling effects between the fluid phases under variable saturation and pore fluid pressure. The numerical problem is solved in the space-frequency domain using a finite element procedure and the time-domain solution is obtained by a numerical Fourier transform. Heterogeneities due to fluid distribution and rock porosity-permeability are modeled as stochastic fractals, whose spectral densities reproduce saturation an petrophysical variations similar to those observed in reservoir rocks. The numerical experiments are performed at a central frequency of 500 kHz, and show clearly the effects of the different heterogeneities on the amplitudes of shear and compressional waves and the importance of wave mode conversions at the different interfaces.

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“…[30] have negative real parts and they differ greatly in magnitude due to the viscosity terms (that is,…”

Section: Staggered-grid Fd With Partition Methodsmentioning

confidence: 99%

“…They conducted numerical modeling using a finite-element method in the space-frequency domain. Employing a psudospectral method, Carcione et al [30] numerically investigated wave propagation in a partially saturated porous medium, and introduced a partition method to solve the stiffness problem of the differential equations established by Santos. In their treatment, the coupling effects between two fluids were not considered.…”

mentioning

confidence: 99%

Acoustic wave propagation simulation in a poroelastic medium saturated by two immiscible fluids using a staggered finite-difference with a time partition method

Zhao

Wang

2008

Sci. China Ser. G-Phys. Mech. Astron.

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Based on the three-phase theory proposed by Santos, acoustic wave propagation in a poroelastic medium saturated by two immiscible fluids was simulated using a staggered high-order finite-difference algorithm with a time partition method, which is firstly applied to such a three-phase medium. The partition method was used to solve the stiffness problem of the differential equations in the three-phase theory. Considering the effects of capillary pressure, reference pressure and coupling drag of two fluids in pores, three compressional waves and one shear wave predicted by Santos have been correctly simulated. Influences of the parameters, porosity, permeability and gas saturation on the velocities and amplitude of three compressional waves were discussed in detail. Also, a perfectly matched layer (PML) absorbing boundary condition was firstly implemented in the three-phase equations with a staggered-grid high-order finite-difference. Comparisons between the proposed PML method and a commonly used damping method were made to validate the efficiency of the proposed boundary absorption scheme. It was shown that the PML works more efficiently than the damping method in this complex medium. Additionally, the three-phase theory is reduced to the Biot's theory when there is only one fluid left in the pores, which is shown in Appendix. This reduction makes clear that three-phase equation systems are identical to the typical Biot's equations if the fluid saturation for either of the two fluids in the pores approaches to zero. acoustic waves, poroelastic media, immiscible fluids, staggered grids, perfectly matched layersThe behaviors of acoustic wave propagation in porous media have attracted much attention in

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Wave propagation in partially saturated porous media: simulation of a second slow wave

Cited by 59 publications

References 24 publications

Physics and Seismic Modeling for Monitoring CO2 Storage

Physics and Seismic Modeling for Monitoring CO2 Storage

Numerical simulation of ultrasonic waves in reservoir rocks with patchy saturation and fractal petrophysical properties

Acoustic wave propagation simulation in a poroelastic medium saturated by two immiscible fluids using a staggered finite-difference with a time partition method

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