Two-dimensional mathematical model for Heat Assisted WAG with Chemical Additives for heavy oil recovery

S. A. Musa, M. Awang, Noaman El-khatib, B. Demiral
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Abstract

This paper is an extension of previous work [1] and describe a two — dimensional (2-D) mathematical model, developed to simulate the heavy oil recovery process through the use of Heat Assisted WAG with Chemical Additives to reduce viscous fingering and gas override occurrence, which limits the efficiency of the WAG process. In this study we present a 2-D compositional mathematical model formulation and numerical solution for the process, with incorporating the important physical phenomena occurring during the process. The fully implicit finite difference approximation was used to convert the partial differential equation of the model into algebraic equations. The non linear Newtown-Raphson method was used for the solution of the resulting equations. The Jacobian of the residual equations was evaluated. The description of 2-D developed model discussed here will be useful to study the viscous fingering and gas override predictive models.
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化学添加剂热辅助WAG稠油开采的二维数学模型
本文是对先前工作[1]的扩展,描述了一个二维(2-D)数学模型,该模型通过使用含有化学添加剂的热辅助WAG来模拟稠油开采过程,以减少粘稠指指和气体覆盖的发生,这限制了WAG过程的效率。在本研究中,我们提出了该过程的二维组成数学模型公式和数值解,并纳入了该过程中发生的重要物理现象。采用全隐式有限差分近似将模型的偏微分方程转化为代数方程。采用非线性Newtown-Raphson方法求解所得方程。求出了残差方程的雅可比矩阵。本文所讨论的二维发展模型的描述将有助于研究粘性指指和气体覆盖预测模型。
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