Geodesic
Tube wave excitation by the radial and vertical sources clamped to the borehole wall
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 36, Tome 342 (2007), pp. 153-163

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Tube wave excitation by the radial and vertical sources clamped to the borehole wall is considered. Tube wave amplitude as the function of radial distance is represented in the cases with high velocity and low velocity media. 
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     author = {P. V. Krauklis and A. P. Krauklis},
     title = {Tube wave excitation by the radial and vertical sources clamped to the borehole wall},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {153--163},
     publisher = {mathdoc},
     volume = {342},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2007_342_a6/}
}
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P. V. Krauklis; A. P. Krauklis. Tube wave excitation by the radial and vertical sources clamped to the borehole wall. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 36, Tome 342 (2007), pp. 153-163. http://geodesic.mathdoc.fr/item/ZNSL_2007_342_a6/