An optimal model and its identification for the thermodynamics of kerogen evolution (Q1343430)

A mathematical model on the subject of the optimal identification of the thermodynamic parameters is studied. On the basis of the equation of generation of oil and gas, a mathematical model for the optimal identification of parameters is established, and then the identifiability of them is proved with the aid of the continuity of the relevant functional. Finally, the solution of the equation is proved to be weakly Gâteaux differentiable, and necessary conditions are obtained for the optimality of this identification problem.