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Acoustic field generated by an axisymmetric source embedded in a fluid-filled cylindrical hole located in a micro-cracked medium. (English) Zbl 1423.76406

Summary: 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).

MSC:

76Q05 Hydro- and aero-acoustics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
74A40 Random materials and composite materials
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