考虑井筒储集的双重介质分形油藏压力分析.doc

考虑井筒储集的双重介质分形油藏压力分析

摘     要
在非线性偏微分方程中根据弱可压缩液体的假设,忽略二次梯度项,对于混气石油和低渗透储层这种方法是有疑问的,我们已经知道在试井较长时间忽略二次梯度项将产生误差。传统的试井模型与物质平衡方程都是一致的。本文对于双重分形介质流动系统建议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，考虑了井筒储集系数的影响，建立了双孔模型。采用预估-校正法获得了无限大地层定产量生产是分形介质双孔模型的数值解，这些结果可用于实际试井分析。我们还分别讨论了液体压缩系数、双重介质参数和分形介质参数变化是压力变化规律，利用绘图软件Origin5.0，做出了典型压力曲线图版。所有的结果对油田实际问题的解决都具有很高的使用价值。

关键词：Douglas-Jones预估-校正法、液体压缩系数、双重介质，分形。

Abstract
  According to assumption of slightly compressible fluid,the quadratic gradient term in nonlinear partial differential  Equation is usually neglected.This method is questionable for live oil and low permeability reservoirs. We have known that allowing the quadratic gradient term to be neglected result in errors for well-test large time.Traditional well-test medels for flow are not consistent with material balance eguation.A method that is consistent with material banlance
equation for double fractal reservoir with double porosity is proposed.All terms in nonlinear partial differential equation are retained.Fractal double porosity models are built.The numerical solutions of fractal double porosity models are obtained by Douglas-Jones predictor-corrector method in the constant rate production and constant pressure production of an infinitely large system.This paper addresses the change rule of pressure when fluid  compressibility and double porosity parameters change.The plots of type pressure curves are given by using software Origin5.0 of drawing plots,and the results have very high usage value.

Keywords: Douglas-Jones predictor-corrector method, double fractal reservoir,double porosity models.
                   
                                                     

目      录

第1章  引言----------------------------------------------1

第2章  考虑二次梯度项影响具有井筒储集
系数的双重分形介质流动模型------------------------3
2.1    偏微分方程----------------------------------------3
          2.2    数学模型-------------------------------------------5                                    
2.3    数值模拟方法-------------------------------------6

第3章  结果分析和程序设计----------------------11
3.1      结果分析----------------------------------------11
3.2      程序设计部分----------------------------------19
3.3      程序流程图-------------------------------------21

第4章  结论--------------------------------------------23

第5章  谢辞--------------------------------------------24

第6章  参考文献--------------------------------------25