Streamline-Based Mathematical Model for CO2 Miscible Flooding
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摘要: 采用改进的黑油模型研究思路,建立起一种实用的CO2混相驱数学模型,模型中利用混相流的油、气相对渗透率及有效粘度的调整来实现混相过程的模拟.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,采用显式全变差递减法对流管内的一维渗流问题求解.同时,利用该模型讨论了开采方式、溶剂段塞尺寸、注入周期等对CO2驱开采效果的影响规律.建立的模型的优点在于: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CO2驱替动态进行计算,为CO2混相驱油田的早期筛选及油藏动态管理提供了有效的工具.Abstract: According to the research theory of improved black oil simulator, a practical mathematical model for CO2 miscible flooding was presented. In the model, the miscible process simulation was realized by adjusting oil/gas relative permeability and effective viscosity under the condition of miscible flow. In order to predict the production performance fast, streamline method is employed to solve this model as an alternative to traditional finite difference methods. Based on streamline distribution of steady-state flow through porous media with complex boundary confirmed with the boundary element method (BEM), an explicit total variation diminishing (TVD) method is used to solve the one-dimensional flow problem. At the same time, influences of development scheme, solvent slug size, and injection periods on CO2 drive recovery are discussed. The model has the advantages of less information need, fast calculation, and adaptation to calculate CO2 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 CO2 miscible oil field.
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