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Explanation for Malischewsky's approximate expression for the Rayleigh wave velocity |
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| Authors: | Vinh Pham Chi Malischewsky Peter G |
| Affiliation: | aFaculty of Mathematics, Mechanics and Informatics, Hanoi University of Science, 334, Nguyen Trai Str., Thanh Xuan, Hanoi, Viet Nam bInstitute for Geosciences, Friedrich-Schiller University Jena, Burgweg 11, 07749 Jena, Germany |
| Abstract: | An approach for obtaining approximations of the Rayleigh wave velocity created by the principle of least squares is introduced. In view of this approach, Malischewsky's approximation of the Rayleigh wave velocity for Poisson ratios v in the set of [-1, 0.5] proposed quite recently is explained. It is shown that Malischewsky's approximation obtained by trial and error is (almost) identical with the one established by this approach. |
| Keywords: | Rayleigh wave velocity The principle of least squares, The best approximation |
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