考慮井筒儲(chǔ)集的雙重介質(zhì)分形油藏壓力分析

摘     要
在非線(xiàn)性偏微分方程中根據(jù)弱可壓縮液體的假設(shè),忽略二次梯度項(xiàng),對(duì)于混氣石油和低滲透儲(chǔ)層這種方法是有疑問(wèn)的,我們已經(jīng)知道在試井較長(zhǎng)時(shí)間忽略二次梯度項(xiàng)將產(chǎn)生誤差。傳統(tǒng)的試井模型與物質(zhì)平衡方程都是一致的。本文對(duì)于雙重分形介質(zhì)流動(dòng)系統(tǒng)建議了與物質(zhì)平衡方程一致的方法，保留了非線(xiàn)性偏微分方程中所有項(xiàng)，考慮了井筒儲(chǔ)集系數(shù)的影響，建立了雙孔模型。采用預(yù)估-校正法獲得了無(wú)限大地層定產(chǎn)量生產(chǎn)是分形介質(zhì)雙孔模型的數(shù)值解，這些結(jié)果可用于實(shí)際試井分析。我們還分別討論了液體壓縮系數(shù)、雙重介質(zhì)參數(shù)和分形介質(zhì)參數(shù)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(xiàn)圖版。所有的結(jié)果對(duì)油田實(shí)際問(wèn)題的解決都具有很高的使用價(jià)值。

關(guān)鍵詞：Douglas-Jones預(yù)估-校正法、液體壓縮系數(shù)、雙重介質(zhì)，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(xiàng)影響具有井筒儲(chǔ)集
系數(shù)的雙重分形介質(zhì)流動(dòng)模型------------------------3
2.1    偏微分方程----------------------------------------3
          2.2    數(shù)學(xué)模型-------------------------------------------5                                    
2.3    數(shù)值模擬方法-------------------------------------6

第3章  結(jié)果分析和程序設(shè)計(jì)----------------------11
3.1      結(jié)果分析----------------------------------------11
3.2      程序設(shè)計(jì)部分----------------------------------19
3.3      程序流程圖-------------------------------------21

第4章  結(jié)論--------------------------------------------23

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

第6章  參考文獻(xiàn)--------------------------------------25