Computation of synthetic seismogram in real earth model by eigen function expansion

Authors

  • AJIT DE Department of Mathematics, Siliguri College, Siliguri – 734 001, West Bengal, India
  • A. ROY Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Kolkata – 700 009, India
  • M. MITRA Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Kolkata – 700 009, India
  • R. K. BHATTACHARYA Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Kolkata – 700 009, India

DOI:

https://doi.org/10.54302/mausam.v67i3.1385

Keywords:

Seismogram, Eigen function, Love wave, Rayleigh wave, Real earth

Abstract

The method of eigen function expansion has been used in the present study to compute synthetic or theoretical seismogram in layered elastic half-space of real earth model. Simple dislocation source model has been considered. The transverse (SH) or radial and vertical (P-SV) components of displacement field have been computed as summed modes and compared by using both exact and numerical techniques. The methods used in the study, include exact evaluation by propagator matrix approach using Reflection-Transmission coefficients as well as numerical computations using Runge-Kutta method of order 4. The specialty of the present study is to evaluate approximate displacement field for the earth models with homogeneous and / or inhomogeneous layers. The normalization technique has been used in the study to control the overflow errors. The study has an advantage to get an idea of earth structure or source model by an inverse iterative technique.

 

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Published

01-07-2016

How to Cite

[1]
A. . DE, A. . . ROY, M. . MITRA, and R. K. . BHATTACHARYA, “Computation of synthetic seismogram in real earth model by eigen function expansion ”, MAUSAM, vol. 67, no. 3, pp. 659–668, Jul. 2016.

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Section

Research Papers

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