For better prediction of velocities in rocks under anisotropic loading conditions we use the porosity deformation approach, which describes the compliances. Previous investigations suggest that an isotropic stress sensitivity tensor, i.e. only one value to describe the stress dependency can be used. Using the Porosity deformation approach we analyze VTI rocks under uniaxial loading conditions assuming an seismically elliptical rock and an isotropic stress sensitivity tensor. We show that the non diagonal elements of the compliances are constant, if only the change of compliant porosity is considered, whereas for change of stiff porosity an linear change is predicted. We make use of data obtained in a room dry high porous bunter sandstone to prove that measurement errors of the oblique velocity vpq have a high influence on S12 and S13. We here use the assumption of zero anellipticity to estimate the quasi p-wave velocity. For this high porous rock the influence of the stiff porosity is to be considered particularly for higher stresses.


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  1. Auld, B.
    [1990] Acoustic fields and waves in solids. Robert E. Krieger Publ. Co.
    [Google Scholar]
  2. Ciz, R. and Shapiro, S.
    [2009] Stress-dependent anisotropy in transversely isotropic rocks: Comparison between theory and laboratory experiment on shale. Geophysics, 74, D7–D12.
    [Google Scholar]
  3. Mavko, G., Mukerji, T. and Dvorkin, J.
    [1998] The Rock Physics Handbook: tools for seismic analysis in pourous media, 59. Cambridge University Press, Cambridge.
    [Google Scholar]
  4. Mayr, S., Niemann, R. and Shapiro, S.
    [2016] Understanding of elastic anisotropy of shale under triaxial loading: Porosity-deformation approach. GEOPHY5IC5, 81(5), C163–C175.
    [Google Scholar]
  5. Mayr, S., Sviridov, V., Niemann, R. and Shapiro, S.
    [2015] Stress dependency of seismic velocity in anisotropic siliclastic rocks DGMK-Research Report 741–1. Hamburg. ISBN 0937–9762.
    [Google Scholar]
  6. Prioul, R., Bakulin, A. and Bakulin, V.
    [2004] Nonlinear rock physics model for estimation of 3D subsurface stress in anisotropic formations: Theory and laboratory verification. Geophysics, 69(2), 415–425.
    [Google Scholar]
  7. Shapiro, S. and Kaselow, A.
    [2005] Porosity and elastic anisotropy of rocks under tectonic stress and pore-pressure changes. Geophysics, 70(5), N27–N38.
    [Google Scholar]
  8. Tsvankin, I.
    [1997] Anisotropic parameters and P-wave velocity for orthorhombic media. Geophysics, 62(4), 1292–1309.
    [Google Scholar]
  9. [2012] 5eismic signatures and analysis of reflection data in anisotropic media, third edition, Geophysical References 5eries, 19. Society of Exploration Geophysicists, Tulsa, Oklahoma, U.S.A.
    [Google Scholar]

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