The wave field of a~point source that acts on the impermeable stress free boundary of a~Biot half-plane
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 46, Tome 451 (2016), pp. 54-64

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Initial boundary value problem of wave propagation in half-plane filled with fluid-saturated porous solid is considered. Biot's medium is isotropic homogeneous and pores are closed on the boundary. Using complex analysis techniques, explicit formulae for displacements in elastic and fluid phases are obtained.
@article{ZNSL_2016_451_a4,
     author = {G. L. Zavorokhin},
     title = {The wave field of a~point source that acts on the impermeable stress free boundary of {a~Biot} half-plane},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {54--64},
     publisher = {mathdoc},
     volume = {451},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_451_a4/}
}
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G. L. Zavorokhin. The wave field of a~point source that acts on the impermeable stress free boundary of a~Biot half-plane. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 46, Tome 451 (2016), pp. 54-64. http://geodesic.mathdoc.fr/item/ZNSL_2016_451_a4/