何应付,尹洪军,杨正明,张训华
HE Ying-fu,et al. (Flow Mechanics Research Institute of Chinese Academy of Sciences, Langfang 065007, China)

• 1:中国科学院渗流流体力学研究所
• 2:大庆石油学院石油工程学院
• 3:中国科学院渗流流体力学研究所
• 4:中国科学院渗流流体力学研究所 河北廊坊065007

摘要(Abstract)：

建立了任意形状均匀各向异性油藏不稳定渗流的数学模型。利用坐标转换和Laplace变换,将均匀各向异性油藏的控制方程转变成修正的helmholtz方程,并用边界元方法获得油藏内任意点的压力,进而由杜哈美原理得到了考虑井筒储存和表皮效应的井底压力。绘制了考虑油藏各向异性、复杂边界以及油藏内存在不渗透区域等因素的井底不稳定压力典型曲线,并分析了曲线特征。与解析方法的对比表明,边界元方法计算精度很高,适用于任意形状各向异性油藏的不稳定压力动态分析。
This paper establishes mathematical model of unstable flow in uniform anisotropic reservoir of any form. It uses coordination conversion and Laplace conversion to change controlling equation of uniform anisotropic reservoir into modified helmholtz equation, uses boundary element method to obtain pressure of any point within reservoir. Then it uses Duhamel’s theory to obtain bottomhole pressure with consideration of wellbore storage and skin effect. It plots typical curve of bottomhole transient pressure considering reservoir anisotropy, complex boundary and impermeable area within reservoir, and analyzes curve characteristics. Comparison with analytic method shows that boundary element has a high accuracy and is applicable for dynamic analysis on transient pressure in anisotropic reservoirs of any form.

关键词(KeyWords)： 各向异性油藏;任意形状;边界元方法;不稳定压力;数学模型
anisotropic reservoir; any form; boundary element method; transient pressure; mathematical model

Abstract:

Keywords:

基金项目(Foundation):

作者(Author): 何应付,尹洪军,杨正明,张训华
HE Ying-fu,et al. (Flow Mechanics Research Institute of Chinese Academy of Sciences, Langfang 065007, China)

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