The volume of a reservoir is 2×107 m3, the catchment area is 500 km2, the average annual inflow of rivers and streams is 800 mm, and the annual silt entering the reservoir is 320 ton/km2, assuming that the proportion of silt is 1800 kg/m3, Assuming that the sand trapping rate of the reservoir is y, the ratio of the reservoir capacity to the annual inflow is x, and the relationship between the two is y=1+0.1*lnx. try to estimate the number of years required for 80% of the initial reservoir capacity to fill up?

The volume of a reservoir is 2×107 m³, the catchment area is 500 km², the average annual inflow of rivers and streams is 800 mm, and the annual silt entering the reservoir is 320 ton/km², assuming that the proportion of silt is 1800 kg/m³, Assuming that the sand trapping rate of the reservoir is y, the ratio of the reservoir capacity to the annual inflow is x, and the relationship between the two is y=1+0.1*lnx. try to estimate the number of years required for 80% of the initial reservoir capacity to fill up?