Dispersion of flexural waves in a borehole with a tensile fracture in an anisotropic stress environment

ABSTRACT The effect of tensile fracture in a vertical borehole under anisotropic horizontal stress conditions is numerically investigated terms the dispersion flexural wave generated dipole sonic logging. Our three?dimensional model comprises filled with water and intersecting axial direction. Two shear waves are excited individually to produce particle displacements polarized two orthogonal radial directions using sources aligned directions. A array equispaced sensors placed at centre along axis. We assumed that surrounding formation possesses transversally isotropic anisotropy isotropy plane parallel axis due anisotropy. examined travelling our numerical models include either fast or slow various depths fractures. results show deeper penetration depth fracture, higher slowness perpendicular for both models. indicate behaviour could be used investigate can produced by drilling hydraulic fracturing.