摘要
对于双重介质流动系统,本文采用了与物质平衡方程一致的方法,保留了非线性偏微分方程中所有项。在研究垂直裂缝井流动的基础上,考虑二次梯度项的影响,建立了双重介质双线性模型。通过对数变换消去二次梯度项,建立差分格式,用追赶法求得该模型的数值解。分别讨论了双重介质的参数变化对无量纲压力的影响,同时考虑井筒储集、表皮效应和二次梯度项的影响,做出了典型无量纲压力曲线图。这些结果可用于实际试井分析。
A method that is consistent with material balance equation for fractured reservoir with double porosity was used. All terms in nonlinear partial differential equations were retained. Based on these studies of the fluid flow in vertically fractured wells, the double porosity media-bilinear flow model was built, including the effect of quadratic gradient term. The quadratic gradient term was eliminated by using logarithm transformation and the difference schemes were built. These numerical solutions were obtained by the forward elimination and backward substitution algorithm. The change rule of pressure was addressed when the double porosity parameters change in company with wellbore storage, skin effect and the quadratic gradient term. The plots of typical pressure curves were given, and the results can be applied to the well test analysis.
出处
《力学季刊》
CSCD
北大核心
2010年第3期395-400,共6页
Chinese Quarterly of Mechanics
基金
国家自然科学基金(40874044)
山东省自然科学基金(Y2007F13)
中国石油大学(华东)自主创新科研计划项目(27R0908016A)
国家科技重大专项(2009ZX05038-006)
关键词
双重介质
垂直裂缝
二次梯度
双线性流
井筒储集
表皮效应
double porosity
vertical fracture
quadratic gradient
bilinear flow
wellbore storage
skin effect
