Representation of potentials from point sources for a homogeneous isotropic medium in the form of Bessel-Mellin integrals

Authors

  • Yu. Roganov Ukrainian State Geological Prospecting Institute, Kyiv, Ukraine
  • R. Pak Carpathian Branch of the Institute of Geophysics of the National Academy of Sciences of Ukraine, Lviv, Ukraine

DOI:

https://doi.org/10.24028/gzh.0203-3100.v35i2.2013.111361

Abstract

A method for derivation of formulas for representation of potentials of wave fields of different types as integrals Bessel—Mellin is offered. Considered potentials are formed by point sources of type of force or the moment of forces in homogeneous isotropic unbounded medium.

References

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Лебедев Н. Н. Специальные функции и их приложения (2е изд.). — Москва—Ленинград: Физ матгиз, 1963. — 359 с.

Пак Р. М. Хвильове поле в однорідному середовищі для джерела у вигляді одинарної сили або подвійної пари сил // Геоінформатика. — 2004. — № 1. — С. 36—44.

Hasskell N. A. The dispersion of surface waves on multilayered media // Bull. Seismol. Soc. Amer. — 1953. — 43, № 1. — P. 17—34.

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Published

2013-03-01

How to Cite

Roganov, Y., & Pak, R. (2013). Representation of potentials from point sources for a homogeneous isotropic medium in the form of Bessel-Mellin integrals. Geofizicheskiy Zhurnal, 35(2), 163–167. https://doi.org/10.24028/gzh.0203-3100.v35i2.2013.111361

Issue

Vol. 35 No. 2 (2013)

Section

Scientific Reports

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