caa a22 4500 477047793 CHVBK 20180405111335.0 cr unu---uuuuu 170330e19960801xx s 000 0 eng 10.1007/BF00878842 doi (NATIONALLICENCE)springer-10.1007/BF00878842 Rayleigh wave dispersion equation for a layered spherical earth with exponential function solutions in each shell [Elektronische Daten] [Swarn Arora, S. Bhattacharya, M. Gogna] We consider the second-order differential equations ofP-SV motion in an isotropic elastic medium with spherical coordinates. We assume that in the medium Lamé's parameters λ, μ ∞r p and compressional and shear-wave velocities α, β ∞r, wherer is radial distance. With this regular heterogeneity both the radial functions appearing in displacement components satisfy a fourth-order differential equation which provides solutions in terms of exponential functions. We then consider a layered spherical earth in which each layer has heterogeneity as specified above. The dispersion equation of the Rayleigh wave is obtained using the Thomson-Haskel method. Due to exponential function solutions in each layer, the dispersion equation has similar simplicity, as in a flat-layered earth. The dispersion equation is further simplified, whenp=−2. We obtain numerical results which agree with results obtained by other methods. Birkhäuser Verlag, 1996 Spherical earth nationallicence heterogeneous shells nationallicence Rayleigh waves nationallicence dispersion equation nationallicence decoupling nationallicence Arora Swarn D.A.V. College for Women, 132001, Karnal, India aut Bhattacharya S. Seismological Observatory, Meteorological Department, Lodi Road, 110003, New Delhi, India aut Gogna M. Department of Mathematics, Kurukshetra University, 132119, Kurukshetra, Haryana, India aut pure and applied geophysics Birkhäuser-Verlag 147/3(1996-08-01), 515-536 0033-4553 147:3<515 1996 147 24 https://doi.org/10.1007/BF00878842 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00878842 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Arora Swarn D.A.V. College for Women, 132001, Karnal, India aut NATIONALLICENCE 700 1- Bhattacharya S. Seismological Observatory, Meteorological Department, Lodi Road, 110003, New Delhi, India aut NATIONALLICENCE 700 1- Gogna M. Department of Mathematics, Kurukshetra University, 132119, Kurukshetra, Haryana, India aut NATIONALLICENCE 773 0- pure and applied geophysics Birkhäuser-Verlag 147/3(1996-08-01), 515-536 0033-4553 147:3<515 1996 147 24 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer