The REM
Normal Modes MINOS Page

This site hosts a FORTRAN code called MINOS. This code lets you choose a 1D Earth model (card deck or polynomials) and a group of modes( e.g. spheroidal fundamental, toroidal overtones, radial modes). The output on the screen/ascii files are mode frequencies, attenuation, group and phase velocities. A binary file contains the eigenfunctions (U,U',V,V',W,W') for each mode, as a function of radius. With these, you can calculate energy densities of a mode and sensitivity kernels for a certain model parameter (e.g. Vp(r), rho(r)).


Play interactively on the Web:
Ruedi Widmer-Schnidrig made a web version of MINOS. You can choose between 4 models (1066a, 1066b, PREM, CORE11), calculate frequencies and plot energy densities for any mode you like.

play MINOS.

Examples

Here are some examples for energy densities for a few spheroidal modes. Note that the dashed line here is SHEAR ENERGY DENSITY. While in the interactive version the dashed line is COMPRESSIONAL ENERGY DENSITY!

Download Source Code at CIG

we no longer support a direct local ftp link to MINOS. But a good source to get MINOS is at Computational Infrastructure for Geodynamics. The link below gets you there. If you are only interested in computing normal mode frequencies and eigenfunctions, you do not need the whole package. You only need minos_bran which is described in the MINEOS documentation, Chapter 3.1. Minos_bran is an updated version of MINOS that used to be available on the local ftp site. All the other tools included in the CIG package allow you to compute Green's Functions, and ultimately synthetic seismograms.

References

Woodhouse, J.H., The Calculation of Eigenfrequencies and Eigenfunctions of the Free Oscillations of the Earth and the Sun, 1988. in: D.J. Doornbos (ed.) "Seismological Algorithms, Computational Methods and Computer Programs", Academic Press, London, UK, 321-370.

Guy's class notes




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Gabi Laske ( glaske@ucsd.edu)