【摘要】 适用于开采特高凝固点油藏的井筒热流体循环工艺数学模型是一种半隐式边界条件的常微分方程组边值问题,称为热流体循环方程组。本文根据这种方程组的特点提出了一种简便易行的数值解法,将二维搜索初值的逐点求解转化为一维搜索,并合理地处理方程中的参数。经实测检验,计算结果符合工程实际。数值方法及其通用程序已用于油田研究高凝油井的产油规律。更多还原

【Abstract】 Mathematical model for solving equations of hot fluid circulation in wellbore producing high pour point oil is a boundary value problem for a system of ordinary differential equations with semi-implicit boundary conditions. The model is called a system of equations for hot fluid circulation. The simple numerical method with step-by-step solution is presented in this paper to transform two-dimensional search into one-dimensional search. Besides, the parameters in the system of equations are good treated properly. Computational results are in good agreement with measured values in oilfield. The numerical method and universal computing program have been used in oilfield.更多还原