We investigate the flux of supernova relic neutrinos ( SRN ) for several neutrino oscillation models with parameters inferred from recent experimental results . In the calculation , we adopt the realistic time-dependent supernova density profile , which is very different from the static progenitor profile owing to shock propagation . The Earth matter effect is also included appropriately using realistic density profile of the Earth . As a result , these two effects are found to induce the flux difference by a few % in the detection energy range ( E _ { \nu } > 19.3 MeV ) . We also set 90 % C.L . upper limit on SRN flux for various oscillation models using the recently released observational result by Super-Kamiokande ( SK ) . In the near future , further reduced upper limit is actually expected , when the current SK data are reanalyzed using some technique to reduce background events against SRN signals . It is expected that the reduced upper limit is sufficient to provide useful implications for neutrino oscillation .