Production of hydrocarbons leads to anisotropic changes in the stress field in the reservoir and surrounding rocks. Elastic wave velocities vary with stress as a result of discontinuities within the rock such as grain boundaries, microcracks, and fractures. The elastic anisotropy resulting from anisotropic changes in the stress field can be written in terms of a second-rank and fourth-rank fabric tensor that quantify the effect of the stress-sensitive discontinuities on the elastic wave velocities in the rock. This quantification allows elastic wave velocity measurements, amplitude versus offset, etc., to be inverted to obtain the components of these tensors.

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