Heavy oils production involves heating of the reservoir, which results in significant reduction of the pore fill viscosity. Seismic monitoring of these subsurface operations requires a model relating elastic properties of the heavy oil rocks at different temperatures. To this end, we developed a simple solid substitution scheme. Key feature of the model is division of porosity into stiff matrix pores and compliant cracks-like pores, which is important because presence of a solid material in compliant pores or cracks stiffens the rock to much greater extent than its presence in stiff pores. We approximate a typical compliant pore as a circular disc confined between rigid plates and surrounded by empty pores. The stiff pores are then embedded using generalized Gassmann’s equations. When the pore fill is solid, the predictions of the scheme are close to the predictions of the solid-squirt model recently proposed by Saxena and Mavko. However, the present scheme also gives a continuous transition to the classic Gassmann’s equations for a liquid pore fill at low frequencies and squirt theory at the high frequency limit.


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  1. Behura, J., Batzle, M., Hofmann, R. & Dorgan, J.
    2007. Heavy oils: Their shear story. GEOPHYSICS72, E175–E183.
    [Google Scholar]
  2. Ciz, R. & Shapiro, S.A.
    2007. Generalization of Gassmann equations for porous media saturated with a solid material. GEOPHYSICS72, A75–A79.
    [Google Scholar]
  3. Gurevich, B., Makarynska, D. & Pervukhina, M.
    2009. Ultrasonic moduli for fluid-saturated rocks: Mavko-Jizba relations rederived and generalized. GEOPHYSICS74, N25–N30.
    [Google Scholar]
  4. Gurevich, B. and Saxena, N.
    2015. A Simple Recipe For Solid Substitution at Low Frequencies and Application to Heavy Oil Rocks. In: 77th EAGE Conference and Exhibition
    [Google Scholar]
  5. Hashin, Z.
    1970. Complex moduli of viscoelastic composites—I. General theory and application to particulate composites. International Journal of Solids and Structures6, 539–552.
    [Google Scholar]
  6. Makarynska, D., Gurevich, B., Behura, J. & Batzle, M.
    2010. Fluid substitution in rocks saturated with viscoelastic fluids. GEOPHYSICS75, E115–E122.
    [Google Scholar]
  7. Saxena, N. & Mavko, G.
    2015. Effects of fluid-shear resistance and squirt flow on velocity dispersion in rocks. GEOPHYSICS80, D99–D110.
    [Google Scholar]
  8. Tsai, H.-C. & Lee, C.-C.
    1998. Compressive stiffness of elastic layers bonded between rigid plates. International Journal of Solids and Structures35, 3053–3069.
    [Google Scholar]

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