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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。
The mathematic model of wellbore thermofluid circulation process applicable to the extra-high freezing point reservoir is a kind of boundary value problems of semi-implicit boundary conditions for ordinary differential equations. Based on the characteristics of this system of equations, this paper presents a simple and easy numerical solution, which transforms the point-by-point solution of the initial value of 2D search into one-dimensional search and deals with the parameters in the equation reasonably. The measured test, the calculation results in line with the actual project. The numerical method and its general procedure have been used in the field of oil production to study the law of oil production in highly condensate wells.