聚合物驱数学模型的流线方法求解

A streamline method for studying mathematical model of polymer drive

建立起一种实用的聚合物驱学数学模型 ,模型中较为全面地描述了驱替过程中的各种物理化学现象。为了实现生产动态的快速预测 ,用流线方法替代传统的有限差分法求解该模型。在结合边界元方法确定复杂边界条件下稳态渗流场流线分布的基础上 ,对流管内的一维渗流问题求解。本文建立模型的优点在于 :输入参数较少、计算快捷 ,适应于对任意形状边界条件下各种井网配置的聚合物驱驱替动态进行计算 ,为聚合物驱油田的早期筛选及油藏动态管理提供了有效的工具。

This paper presented a practical mathematical model for polymer flooding. In this model, the complex physical and chemical behavior of the polymer drive process are simulated. In order to predict the production performance faster, streamline method was employed to solve this model as an alternative to the traditional finite difference methods. Based on streamline distribution of steady state flow through media with complex boundary confirmed with the boundary element method (BEM), the one dimensional flow problem was solved. The model established in this paper has the advantages of less information needed, faster calculation, and adaptation to calculate polymer drive performance of all kinds of patterns in a random shaped porous media with assembly boundary. It can be an effective tool for early stage screening and reservoir dynamic management of the polymer flooding oil field.