考慮井筒儲集的雙重介質分形油藏壓力分析

摘     要
在非線性偏微分方程中根據弱可壓縮液體的假設,忽略二次梯度項,對于混氣石油和低滲透儲層這種方法是有疑問的,我們已經知道在試井較長時間忽略二次梯度項將產生誤差。傳統(tǒng)的試井模型與物質平衡方程都是一致的。本文對于雙重分形介質流動系統(tǒng)建議了與物質平衡方程一致的方法，保留了非線性偏微分方程中所有項，考慮了井筒儲集系數的影響，建立了雙孔模型。采用預估-校正法獲得了無限大地層定產量生產是分形介質雙孔模型的數值解，這些結果可用于實際試井分析。我們還分別討論了液體壓縮系數、雙重介質參數和分形介質參數變化是壓力變化規(guī)律，利用繪圖軟件Origin5.0，做出了典型壓力曲線圖版。所有的結果對油田實際問題的解決都具有很高的使用價值。

關鍵詞：Douglas-Jones預估-校正法、液體壓縮系數、雙重介質，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      錄

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

第2章  考慮二次梯度項影響具有井筒儲集
系數的雙重分形介質流動模型------------------------3
2.1    偏微分方程----------------------------------------3
          2.2    數學模型-------------------------------------------5                                    
2.3    數值模擬方法-------------------------------------6

第3章  結果分析和程序設計----------------------11
3.1      結果分析----------------------------------------11
3.2      程序設計部分----------------------------------19
3.3      程序流程圖-------------------------------------21

第4章  結論--------------------------------------------23

第5章  謝辭--------------------------------------------24

第6章  參考文獻--------------------------------------25