Multi-frequency inversion of modal dispersions for estimating formation anisotropy constants

摘要

Systems and methods for the estimating a plurality of anisotropic elastic constants (C_ij) using borehole dispersions and refracted compressional headwave velocity at a single logging depth in a vertical, deviated, or horizontal wellbore in a transversely-isotropic with a vertical axis of symmetry (“TIV”) formation. The estimated elastic constants can then be used to calculate near-wellbore stress distributions in the wellbore, which aids in an optimal completion design, such as for shale-gas production in the presence of shale heterogeneity.