Tomographic inversion

Grand S. P. (1987) Tomographic inversion of sear velocity beneath the North American plate. J. Geophys. Res. 92, 14065-14090. 

Fig. 3. Location map of events used for tomographic inversions. The map is centred on the approximate centre of the southern Africa array. Locations are from the National Earthquake Information Centre bulletin as archived by the Incorporated Research Institutions for Seismology (IRIS) Data Management Center (James et al. 20016). Published in James et at., GRL28, 2001, fig. 2.

Leveque, J. J., Rivera, L. Wittlinger, G. 1993. On the use of the checker-board test to assess the resolution of tomographic inversions. Geophysical Journal, 115, 313-318. 

Feng, M., and F.C. Gouldin. 2000. Experimental evaluation of an adaptive tomographic inversion method. AIAA Paper No. 2000-0949. 

The spacing between stations normally has the same order as the minimum size of resolved anomalies in the tomographic inversion. 

For passive sources (local earthquakes), the depth of seismic model resolved from tomographic inversion cannot be larger than the maximum depths of sources. 

For restoring of three-dimensional SD is used stated above approach. Under restoring of tomographic images for the base undertakes a function of three-dimensional total image, which after double differentiation and inverse projecting describes sought SD 8 (1) ... 

Teleseismic travel time tomographic images are determined from the inversion of relative travel time residuals so as to minimize bias resulting from errors in the earthquake location and origin time and the effects of 3D structures outside the Earth volume of interest. A second reason for using relative arrival times is that they can be determined more precisely than absolute arrival times in the presence of noise. The relative travel time is given by... 

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