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变形双重介质分形油藏渗流数学模型及压力动态特征
西南石油大学学报（自然科学版）
2002年 24卷 第4期
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Title
MATHEMATICAL MODEL AND CHARACTER OF PRESSURE TRANSIENT OF UNSTABLE SEEPAGE FLOW IN DEFORMABLE DUAL-POROSITY FRACTAL RESERVOIRS
Authors
HE Guo-liang1 XIANG Kai-li2
单位
1.西南石油学院研究生院,四川南充637001; 2.西南石油学院计算机科学学院,四川南充637001
Organization
Southwest Petroleum Institute, Nanchong Sichuan 637001, China
摘要
在Warren-Root模型基础上,引入分形参数df、θ,渗透率压缩系数αf,和裂缝的压缩系数βf,考虑压力对具有分形特征的渗透率和孔隙度的影响,建立了变形双重介质分形油藏不稳定渗流的数学模型,由于假设裂缝渗透率及孔隙度是压力和空间距离的函数,因而得到的数学模型是非线性的。用预测-校正法求得模型的数值解,并分析了压力的动态特征及对参数的影响。
Abstract
On the basis of Warren-Root model, a mathematical model of unstable seepage flow in deformable, dual-porosity reservoirs for the infinite and bounded strata isproposed. Introduced into the model are fractal parameters (dfandθ) and deformation coefficients. The model assumes that both fracture porosity and porosityare functions of pressure and spatial distance, and thus it is nonlinear in nature. Numerical solutions to the model are obtained with the predictor-corrector method. Pressure transient character and its effect on the parameters are analyzed.
关键词：
分形油藏;
变形双重介质;
不稳定渗流;
压力动态特征;
Keywords:
fractal reservoir;
deformable;
dual-porosity;
unstable seepage flow;
pressure transient;
DOI
10.3863/j.issn.1000-2634.2002.04.007
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