Acoustic field generated by an axisymmetric source embedded in a fluid-filled cylindrical hole located in a micro-cracked medium

We have calculated acoustic field generated by an impulse acoustic source in a fluid-filled cylindrical cavity located in a transversely isotropic medium. It is assumed that the anisotropy is caused by presence of crack-like inclusions. We derive effective elastic constants of the surrounding medium using the effective field method. We have shown that in the case of spheroidal crack-like inclusions with normals parallel to the axis of symmetry of the cavity the crack density can be obtained in terms of velocities of zero-order guided wave (the Stoneley wave) and shear wave propagating along the cavity (the SV-wave in the seismic terminology).