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无相间物质传递化学驱浓度方程算子分裂隐式解法
引用本文:陈国,马远乐,朱书堂.无相间物质传递化学驱浓度方程算子分裂隐式解法[J].清华大学学报(自然科学版),2002,42(8):1032-1034.
作者姓名:陈国  马远乐  朱书堂
作者单位:清华大学,核能技术设计研究院,北京,100084
摘    要:为了改进化学驱数学模型 U TCHEM显式求解浓度方程计算速度慢、计算结果精度低的缺点 ,研究了隐式求解组份浓度方程的方法。根据具有无相间物质传递关系的化学驱油藏流体渗流过程满足的相行为 ,推导出了化学驱数学模型 UTCHEM物质守恒方程的等价形式 :饱和度方程和组份浓度方程。利用算子分裂技术将组份浓度方程分裂为扩散方程和对流方程 ,隐式交替求解对流方程和扩散方程得到组份浓度方程的隐式解。扩散方程采用隐式局部一维格式差分离散 ,利用追赶法求解 ;对流方程选用了隐式迎风格式差分 ,并且结合油藏模拟问题的流场是有势场的特点 ,实现了对流方程隐式差分显式求解。所建立的隐式求解浓度方程的方法提高了计算精度 ,可以加大计算时间步长 ,加快计算速度。

关 键 词:化学驱采油  浓度方程  算子分裂  隐式解法
文章编号:1000-0054(2002)08-1032-03
修稿时间:2001年6月1日

Operator splitting implicit algorithm for the concentration equation of chemical flooding without mass transfer between phases
CHEN Guo,MA Yuanle,ZHU Shutang.Operator splitting implicit algorithm for the concentration equation of chemical flooding without mass transfer between phases[J].Journal of Tsinghua University(Science and Technology),2002,42(8):1032-1034.
Authors:CHEN Guo  MA Yuanle  ZHU Shutang
Abstract:An implicit algorithm was developed for the concentration equation for chemical flooding without mass transfer between phases to update the explicit algorithm in UTCHEM. This paper describes the transformation of the mass conservation equation in the UTCHEM chemical flooding model into a saturation equation with components of the concentration equation based on the fluid phase behavior of the chemical flooding without mass transfer between phases. An operator splitting method was employed to split the components concentration equation into a diffusion equation and a convection equation. A implicit algorithm for the component concentration equation was obtained by alternately solving the diffusion and convection equations. The diffusion equation was discretized using a local one-dimensional finite difference equation and solved using the speedup method. The convection equation was discretized using an implicit one-point upwind method, by taking advantage of the reservoir flow potential field, for an implicit non-iterative solution procedure. The implicit method can increase the precision of the result, and increase the time step lengh.
Keywords:chemical  flooding  concentration equation  operator splitting  implicit algorithm  
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