We have studied the Earth matter effect on the oscillation of upward going GeV neutrinos by taking into account the three active neutrino flavors. For neutrino energy in the range 3 to 12 GeV we observed three distinct resonant peaks for the oscillation process ${\nu }_e\leftrightarrow {\nu }_{\mu ,\tau }$ in three distinct densities. However, according to the most realistic density profile of the Earth, the second peak at neutrino energy 6.18 GeV corresponding to the density 6.6 g/cm³ does not exist. So the resonance at this energy can not be of MSW-type. For the calculation of observed flux of these GeV neutrinos on Earth, we considered two different flux ratios at the source, the standard scenario with the flux ratio $1:2:0$ and the muon damped scenario with $0:1:0$. It is observed that at the detector while the standard scenario gives the observed flux ratio $1:1:1$, the muon damped scenario has a different ratio. For muon damped case with $E_{\nu }<20$ GeV, we always get observed neutrino fluxes as ${\mathrm{\Phi }}_{{\nu }_e}<{\mathrm{\Phi }}_{{\nu }_{\mu }}\simeq {\mathrm{\Phi }}_{{\nu }_{\tau }}$ and for $E_{\nu }>20$ GeV, we get the average ${\mathrm{\Phi }}_{{\nu }_e}\sim 0$ and ${\mathrm{\Phi }}_{{\nu }_{\mu }}\simeq {\mathrm{\Phi }}_{{\nu }_{\tau }}\simeq 0.45$. The upcoming PINGU will be able to shed more light on the nature of the resonance in these GeV neutrinos and hopefully will also be able to discriminate among different processes of neutrino production at the source in GeV energy range.

考虑到三种活性中微子的味道，我们研究了地球物质对上升GeV中微子振荡的影响。对于3至12 GeV范围内的中微子能量，我们在振荡过程中观察到三个不同的共振峰${\nu }_{Ë}\leftrightarrow {\nu }_{\mu ，\tau }$具有三种不同的密度。但是，根据地球最现实的密度分布图，在中微子能量6.18 GeV处的第二个峰值不存在，该第二个峰值对应于密度6.6 g / cm ³。因此，在该能量下的共振不能是MSW型的。为了计算这些GeV中微子在地球上的观测通量，我们在源头考虑了两种不同的通量比，即标准情况下的通量比$\mathrm{1个}：2：0$ 和μ子阻尼方案 $0：\mathrm{1个}：0$。可以观察到，在检测器处，标准场景给出了观察到的通量比$\mathrm{1个}：\mathrm{1个}：\mathrm{1个}$，μ介子阻尼方案具有不同的比率。适用于带μ子的情况${Ë}_{\nu }<20$ GeV，我们总是得到中微子通量 ${\mathrm{\Phi }}_{{\nu }_{Ë}}<{\mathrm{\Phi }}_{{\nu }_{\mu }}\simeq {\mathrm{\Phi }}_{{\nu }_{\tau }}$ 和为 ${Ë}_{\nu }>20$ GeV，我们得到平均值 ${\mathrm{\Phi }}_{{\nu }_{Ë}}〜0$ 和 ${\mathrm{\Phi }}_{{\nu }_{\mu }}\simeq {\mathrm{\Phi }}_{{\nu }_{\tau }}\simeq 0.45$。即将到来的PINGU将能够更加了解这些GeV中微子的共振性质，并希望能够在GeV能量范围内的源头区分中微子产生的不同过程。