Abstract
Wave fields excited in a homogeneous isotropic Biot medium by point sources described in terms of discontinuities of displacements and stresses are determined. The results are represented in the form of relations involving Fourier-Bessel or Mellin integrals and in the form of Stokes-type formulas. The interrelations between these representations are established. Among all possible point sources exciting Biot's medium, the elementary sources, in terms of which any complicated linear source can be described, are selected. The special case where the wave fields in the two phases of the Biot medium are independent of one another is considered, and the corresponding sources in the Biot medium are compared with the known sources in elastic and fluid media.
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Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 239, 1997, pp. 164–196.
This work was supported by the Russian Foundation for Basic Research under grant No. 96-05-65904.
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Molotkov, L.A., Bakulin, A.V. Jumps of displacements and stresses as seismic sources in Biot's medium. J Math Sci 96, 3386–3406 (1999). https://doi.org/10.1007/BF02172817
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DOI: https://doi.org/10.1007/BF02172817