摘要
根据干酪根可直接降解为液态烃与天然气,液态烃又可降解为天燃气,以及排烃量的数学模型,求干酪根降解中热力学参数(即频率因子和活化能)的问题是个常微分方程组初值问题的反问题。本文首先将这一问题转化为一个隐式约束非线性规划,并讨论了该规划的分解及目标函数与优化变量之间的关系。最后给出了可在微机上实现的优化算法和究际应用。
According to the mathematical model of Kerogen evolving directly into natural gas and fluid hydricarbon which can evolve also into natural gas, considering the output of fluid hydrocarbon, the problem of determination of thermodynamic para-meters (frenquency factor and activated energy) of Kerogen evolution is an inverse problem of ordinary differential equations with initial value. This paper first converts this problem into a nonlinear programming one with implicit constraints, and then discusses the resolution of the problem and the relationship of the objective function with variables. An optimization algorithm which can be implemented on a microcom-puter and the numerical results of a practical application are also given.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1990年第3期403-412,共10页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家"七五"攻关项目的子课题
