关键词: 微生物驱, 边界元法, 流线方法, 提高采收率, 数学模型

Abstract: A practical mathematical model for microbial flooding was presented.In order to make the description simplified,the complex biologic,physical and chemical behaviors of microbial flooding were simulated.The equations for describing microbial growth,nutrient consumption and metabolize production were proposed.The equations for characterizing dispersion and adsorption for species flowing through a porous medium were also established.In this model,the reciprocities of microbe and metabolize production with rock,oil and water were considered.In order to quickly predict the production performance, the streamline method was employed to solve this model as an alternative to the traditional finite-difference method.Based on streamline distribution of steady-state flow through media in the complex boundary confirmed with the boundary element method (BEN),the one-dimensional flow problem was solved.The saturation equation was solved using an explicit total variation diminishing (TVD) method.To ensure the calculation stability of concentration equation,Crank-Nicolson difference format was used in spatial discretization, and variable in retention coefficient discretization was quasi-linear idsposed. This model has the advantages of a little information,fast calculation and adaptation for determining the microbial drive performances of all kinds of patterns in a random shaped porous media with assembly boundary.It is an effective tool for screening in the early stage and dynamic management of reservoir in the microbial flooding oilfield.

Key words: microbial flooding, boundary element method, streamline method, enhanced oil recovery, mathematical model