三维四相多组分数学模型和数值模型的建立

The Establishment of the Mathematical and Numerical Compositional Model of Three Dimensions and Four Phases

张茂林¹ 梅海燕¹ 孙良田¹ 李士伦¹ 吴清松²

1.西南石油学院，2. 中国科学技术大学

Southwest Petroleum Institute , Sichuan 637001 ,P. R. China

提出考虑“吸附现象作用”的多组分模型假设条件之后,建立了相应的三维四相(油相、气相、水相和吸附相) 多组分数学模型。为了完成油相、气相和吸附相的相平衡计算,建立了考虑“吸附现象作用”、适合于地下油气藏烃类体系的三相(气相、液相和吸附相) 相平衡热力学模型。运用计算机求解时,利用有限差分方法,按顺序求解法建立相应的隐式压力,显示组成及饱和度的数值模型。为研究和确定低渗透凝析气藏和煤层气藏的开采动态,研制和完善相应的数值模拟软件提供了重要的理论基础。

Following the hypothesis of the multiple component model considering the adsorption phenomena action , the mathematical model of three dimensions and four phases (oilgas-water-adsorption phase) for multiple components is set up. Considering the adsorption phenomena action , the phase equilibrium thermodynamic model of three phases (gas-liquidadsorption phase ) is also established. By using the finite difference method ,the related numerical model of the implicit pressure equation ,explicit component equation and saturation equation is founded with the help of the sequence solving method. This paper offer a very important theoretic base not only for researching and designing the production performance of a gas condensate reservoir and a coal-bed gas reservoir , but also for developing and perfecting the related numerical simulation software.