【摘要】 研究了石油地质过程中沉积岩系古地温分布情况和有关参数识别问题．给出了包括传导、对流的导热方程及其初始、边界值条件，讨论了该抛物型偏微分方程解的存在性．构造了识别导热率等参数的优化识别模型．依据可分Ｈｉｌｂｅｒｔ空间中双线性型的有界性与强制性等，证明了识别问题最优解的存在性更多还原

【Abstract】 The paper researches into the distribution of the stratum temperature of sedimentary rock systems in the petroleum geology process and its parameter identification problem. First, the heat equation which contains conduction and convection together with its initial and boundary conditions is given. Then, the identification model about some heat parameters is constructed and the existence of the optimal solution is proved.更多还原