DOI QR코드

DOI QR Code

Computation of the Load Love Number and the Load Green's Function for an Elastic and Spherically Symmetric Earth

  • Na, Sung-Ho (Korea Astronomy and Space Science Institute and University of Science and Technology) ;
  • Baek, Jeong-Ho (Korea Astronomy and Space Science Institute and University of Science and Technology)
  • Published : 2011.05.15

Abstract

Surface deformation of the earth due to a periodic point load on the earth's surface is re-analyzed. Firstly, the equation of motion for deformation of the whole earth due to a periodic zonal harmonic load is solved, and the load Love numbers, which are ratios between the load and the resultant perturbations, are acquired accordingly for the International Association of Seismology and Physics of the Earth's Interior (IASPEI) earth model. The load Green's functions are then evaluated by using the calculated load Love numbers. All the steps are verified, and the characters of the acquired load Love numbers and the load Green's functions are inspected. A comparison is made with former studies that used different earth models.

Keywords

References

  1. I. M. Longman, J. Geophys. Res. 67, 845 (1962) https://doi.org/10.1029/JZ067i002p00845
  2. I. M. Longman, J. Geophys. Res. 68, 485 (1963). https://doi.org/10.1029/JZ068i002p00485
  3. W. Farrell, Rev. Geophys. Space Phys. 10, 761 (1972). https://doi.org/10.1029/RG010i003p00761
  4. J. Y. Guo, Y. B. Li, Y. Huang, H. T. Deng, S. Q. Xu and J. S. Ning, Geophys. J. Int. 159, 53 (2004). https://doi.org/10.1111/j.1365-246X.2004.02410.x
  5. B. L. N. Kennett and E. N. Engdahl, Geophys. J. Int. 105, 429 (1991). https://doi.org/10.1111/j.1365-246X.1991.tb06724.x
  6. S. J. Chang and C. E. Baag, Bull. Seismol. Soc. Am. 96, 856 (2006). https://doi.org/10.1785/0120040165
  7. W. H. Munk and G. J. F. MacDonald, The Rotation of the Earth (Cambridge University Press, Cambridge, 1960), Chap. 5, Sec. 8.
  8. S. H. Na and W. Moon, J. Korean Phys. Soc. 56, 1866 (2010) https://doi.org/10.3938/jkps.56.1866
  9. P. Melchior, The Tides of the Planet Earth (Pergamon Press, New York, 1978), Chap. 3.
  10. W. H. Press, B. P. Flannery, S. A. Teukolsky and W. T. Vetterling, Numerical Recipes (Cambridge Univ. Press, Cambridge, 1986).
  11. G. Arfken, Mathematical Methods for Physicists, 3rd ed. (Academic Press, Orlando, 1985).
  12. E. W. Hobson, The Theory of Spheroidal and Ellipsoidal Harmonics (Chelsea Publishing Co., N.Y., Reprint 1965).
  13. K. O. Kim, B. I. Min, J. H. Yuk and B. H. Choi, J. Coast. Res. SI 61, in Proceedings of 11th International Coastal Symposium (in press).
  14. K. Aki and P. Richards, Quantitative Seismology (Freeman and Co., San Francisco, 1980), Chap. 2.
  15. H. Takeuchi and M. Saito, Seismic Surface Waves: Chap. 5 of Methods in Computational Physics Volume 11, edited by B. A. Bolt (Academic Press, New York, 1972).
  16. T. Rikitake, R. Sato and Y. Hagiwara, Earth Rotation and Tides in Applied Mathematics for Earth Scientists (Terra Scientific Publishing. Co., Tokyo, 1987), Chap. 6.

Cited by

  1. Deformation in the elastic and spherically-symmetric earth due to circular cap load vol.64, pp.7, 2011, https://doi.org/10.3938/jkps.64.1078
  2. Effects of Earth's Atmosphere on Terrestrial Reference Frame : A Review vol.18, pp.3, 2015, https://doi.org/10.7582/gge.2015.18.3.133
  3. The sensitivity of surface mass loading displacement response to perturbations in the elastic structure of the crust and mantle vol.121, pp.5, 2011, https://doi.org/10.1002/2015jb012456
  4. Accuracy of Snow Water Equivalent Estimated From GPS Vertical Displacements: A Synthetic Loading Case Study for Western U.S. Mountains vol.54, pp.1, 2011, https://doi.org/10.1002/2017wr021521