Oceanic heat flow and mantle upflow

The mantle under mid-ocean ridges is the rising edge of mantle convection cell. A lot of heat is brought by the mantle upflow. According to the one-dimension heat transport equation, the temperature distribution on rising edges is deduced, which is used as the vertical boundary condition of oceanic lithosphere plate. With this boundary condition, we got the solution of two-dimensional heat transport equation of oceanic lithosphere plate. Formulae of heat flow and ocean depth could be deduced from the temperature solution. Joint fitting the theoretical and observational mean value of heat flow and bathymetry yields a model of oceanic lithosphere. Its parameters are as follows: lithospheric thickness L=97km, base temperature T=1478 degrees C, upflow velocity u=3.9mm/a, thermal expense coefficient alpha = 3.65 X 10(-5) / degrees C, upflow half width D=1240km. The relationship between parameters and observed value are also discussed with these solutions.