Above we show that for some simple model of SEP propagation is possible to solve inverse problem on the basis of ground and satellite measurements at the beginning of the event. Obtained results we used in the method of great radiation hazard forecasting based on on-line CR one-minute ground and satellite data (Dorman et al., 2005b).

Let us note that described solutions of inverse problem may be partly useful for solving more complicated inverse problems in case of SEP propagation described by anisotropic diffusion and by kinetic equation.

2.43. The checking of solution for SEP inverse problem by comparison of predictions with observations

2.43.1. The checking of the model when diffusion coefficient does not depend from the distance from the Sun

Let us in the first checking the model of SEP propagation in the interplanetary space, described in Section 2.42.2 (when the value of the diffusion coefficient does not depend from the distance from the Sun). We will use the data obtained during the great SEP event in September 1989 by NM on the top of Gran-Sasso in Italy (Dorman et al., 2005a,b). This NM detects one-minute data not only of total neutron intensity, but also many of neutron multiplicities (> 1, > 2, > 3, up to > 8), what gave possibility by using method of coupling functions to determine the energy spectrum in high energy range (> 6 GV) for each minute. On the basis of these data we determine at first the values of diffusion coefficient k(r) . These calculations have been done according to the procedure described above, by supposing that K (R) does not depend on the distance to the Sun (see Eq. 2.42.8). Results are shown in Fig. 2.43.1.

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