Abstract

The paper presents an educational version of the tomography algorithm BASIC TOMO, which is aimed at demonstration of the role of different controlling parameters in inversion. The algorithm uses a simplified approximation of rays with straight lines and a model parameterization with the use of rectangular cells. The tomography procedure is reduced to solving a system of linear equations, which is performed using the LSQR method. This study presents several exercises showing the role of different factors in inversion, such as grid spacing, smoothing, ray configuration, and noise in the data. The calculations are performed for different types of synthetic models. All the results can be easily reproduced using the appended version of the BASIC TOMO code.

Highlights

  • Seismic tomography is a method, which is effectively used for studying Earth structure on scales from centimeters to thousands kilometers

  • BASIC TOMO is a tomography code written in FORTRAN language

  • The BASIC_TOMO is a simple tomography code, which is very convenient for teaching and for investigating several fundamental aspects related to performing tomographic inversion

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Summary

INTRODUCTION

Seismic tomography is a method, which is effectively used for studying Earth structure on scales from centimeters to thousands kilometers. In a case of using passive sources, the inversion is complemented with an additional problem of determination of source parameters (Koulakov, 2009) This and other difficulties make using integral transformations non-suitable for practical seismic tomography applications. To investigate issues related to practical performing the tomography inversions, I have developed a simplified algorithm BASIC TOMO, which allows for very easy definition of synthetic models and ray geometry. This is a convenient instrument for teaching students the basics of tomography inversion. I describe the general workflow of the BASIC TOMO algorithm and present several tests showing the role of various controlling parameters in inversion

BASIC TOMO ALGORITHM
EFFECT OF THE MAIN CONTROLLING PARAMETERS
Role of the grid spacing
Role of the ray distributions
CONCLUSIONS

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