Modeling elastic wave velocities and attenuation in rocks saturated with heavy oil

Gurevich, Boris; Osypov, Konstantin; Číž, Radim; Makarynska, Dina

doi:10.1190/1.2940341

Cited by 42 publications

(24 citation statements)

References 23 publications

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“…Firstly introduced for dielectric dispersion description, this model came to be widely applied to describe viscoelastic properties of various media, from polymers and biomaterials to rocks (Bagley and Torvik, 1986;Hanyga, 2003;Torvik and Bagley, 1984;Ursin and Toverud, 2002). The Cole-Cole model describes well the frequency dependencies of velocities and absorptions in the frequency range from units of hertz to hundreds of kilohertz (Batzle et al, 2006;Gurevich et al, 2008;Jones, 1986;. In the works of Leurer and Dvorkin (2000); Leurer and Dvorkin (2006) the Cole-Cole method has been successfully applied for the description of squirt flows in granular geomaterials whose grains are covered with viscous fluid.…”

Section: Introductionmentioning

confidence: 98%

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Acoustic log simulation in a viscoelastic formation

Markova

Sadovnychiy

Markov

2011

Journal of Applied Geophysics

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Section: Introductionmentioning

confidence: 98%

“…The Cole-Cole model has also an unquestionable advantage which consists in describing well the dispersion and attenuation of elastic waves in the rocks (Batzle et al, 2006;Gurevich et al, 2008;Jones, 1986;Sams et al, 1997). The ColeCole model is concerned with the singular memory models (Hanyga, 2003), i.e.…”

Section: Introductionmentioning

confidence: 99%

Acoustic log simulation in a viscoelastic formation

Markova

Sadovnychiy

Markov

2011

Journal of Applied Geophysics

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“…Ciz and Shapiro (2007) proposed generalized Gassmann's equations in predicting the saturated bulk and shear moduli of rock samples saturated with heavy oils. Gurevich et al (2008) applied a self-consistent effectivemedium method for composites, known as the coherent potential approximation (CPA), to estimate the moduli of a composite system of oils and rocks. For example, an approach suggested by Das and Batzle (2008) employs the HS method of computing effective elastic moduli to set confining bounds for the elastic moduli of heavy-oil-saturated rocks.…”

Section: Introductionmentioning

confidence: 99%

Effect of oil composition on fluid substitution in heavy oil reservoirs

Shamsa

Lines²

2014

Geophysical Prospecting

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Unlike light oils, heavy oils do not have a well‐established scheme for modelling elastic moduli from dynamic reservoir properties. One of the main challenges in the fluid substitution of heavy oils is their viscoelastic nature, which is controlled by temperature, pressure, and fluid composition. Here, we develop a framework for fluid substitution modelling that is reliable yet practical for a wide range of cold and thermal recovery scenarios in producing heavy oils and that takes into account the reservoir fluid composition, grounded on the effective‐medium theories for estimating elastic moduli of an oil–rock system. We investigate the effect of fluid composition variations on oil–rock elastic moduli with temperature changes. The fluid compositional behaviour is determined by flash calculations. Elastic moduli are then determined using the double‐porosity coherent potential approximation method and the calculated viscosity based on the fluid composition. An increase in temperature imposes two opposing mechanisms on the viscosity behaviour of a heavy‐oil sample: gas liberation, which tends to increase the viscosity, and melting, which decreases the viscosity. We demonstrate that melting dominates gas liberation, and as a result, the viscosity and, consequently, the shear modulus of the heavy oils always decrease with increasing temperature. Furthermore, it turns out that one can disregard the effects of gas in the solution when modelling the elastic moduli of heavy oils. Here, we compare oil–rock elastic moduli when the rock is saturated with fluids that have different viscosity levels. The objective is to characterize a unique relation between the temperature, the frequency, and the elastic moduli of an oil–rock system. We have proposed an approach that takes advantage of this relation to find the temperature and, consequently, the viscosity in different regions of the reservoir.

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“…The frequency dependency of the complex shear modulus of heavy oil can be approximated by Cole-Cole empirical dispersion equations ͑Cole- Cole, 1941;Gurevich et al, 2008͒, which relate complex shear modulus with shear moduli at the low-and high-frequency limits, angular frequency, and relaxation time. The relaxation time depends on fluid viscosity, which is a function of temperature.…”

Section: Complex Shear Modulus Of Heavy Oilmentioning

confidence: 99%

“…This law is not applicable to viscoelastic media. Biot's theory is not applicable to heavy oils either because it ignores the viscoelastic phenomenon by neglecting the fluid shear stress in the microscopic ͑pore-scale͒ constitutive equations ͑Pride et al, 1992; Gurevich, 2002͒. Several approaches to modeling effective elastic properties of rocks saturated with heavy oil have been proposed ͑Marion and Nur, 1991;Eastwood, 1993;Tsiklauri and Beresnev, 2003;Leurer and Dvorkin, 2006;Ciz and Shapiro, 2007;Das and Batzle, 2008;Gurevich et al, 2008͒. However, verification of these models using controlled laboratory experiments was not possible.…”

Section: Introductionmentioning

confidence: 99%

Fluid substitution in rocks saturated with viscoelastic fluids

et al. 2010

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Heavy oils have high densities and extremely high viscosities, and they exhibit viscoelastic behavior. Traditional rock physics based on Gassmann theory does not apply to materials saturated with viscoelastic fluids. We use an effective-medium approach known as coherent potential approximation ͑CPA͒ as an alternative fluid-substitution scheme for rocks saturated with viscoelastic fluids. Such rocks are modeled as solids with elliptical fluid inclusions when fluid concentration is small and as suspensions of solid particles in the fluid when the solid concentration is small. This approach is consistent with concepts of percolation and critical porosity, and it allows one to model sandstones and unconsolidated sands.We model the viscoelastic properties of a heavyoil-saturated rock sample using CPA and a measured frequencydependent complex shear modulus of the heavy oil. Comparison of modeled results with measured properties of the heavy-oil rock reveals a large discrepancy over a range of frequencies and temperatures. We modify the CPA scheme to account for the effect of binary pore structure by introducing a compliant porosity term. This dramatically improves the predictions. The predicted values of the effective shear modulus of the rock are in good agreement with laboratory data for the range of frequencies and temperatures. This confirms that our scheme realistically estimates the frequency-and temperature-dependent properties of heavy-oil rocks and can be used as an approximate fluid-substitution approach for rocks saturated with viscoelastic fluids.

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Modeling elastic wave velocities and attenuation in rocks saturated with heavy oil

Cited by 42 publications

References 23 publications

Acoustic log simulation in a viscoelastic formation

Acoustic log simulation in a viscoelastic formation

Effect of oil composition on fluid substitution in heavy oil reservoirs

Fluid substitution in rocks saturated with viscoelastic fluids

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