本文選題：解析方法 + 擬流量��； 參考：《中國(guó)科學(xué)院研究生院(滲流流體力學(xué)研究所)》2015年博士論文

【摘要】：隨著低滲透油田的大規(guī)模開發(fā),生產(chǎn)實(shí)際和室內(nèi)實(shí)驗(yàn)都表明,流體在特低滲透儲(chǔ)層中的流動(dòng)屬于非線性滲流,已經(jīng)提出了各種形式的非線性滲流數(shù)學(xué)方程。但到目前為止,對(duì)這些非線性滲流方程只有數(shù)值解,還缺乏解析解。對(duì)于眾多石油科學(xué)技術(shù)工作者來說,非線性方程的解析解是我們追求的重要目標(biāo),它對(duì)于我們提升現(xiàn)有計(jì)算方法,對(duì)于我們更準(zhǔn)確地預(yù)測(cè)油田生產(chǎn)動(dòng)態(tài),提高石油科技水平,無疑都是非常重要的。為此,我們?cè)谶@方面進(jìn)行了探索。一、我們以三參數(shù)非線性滲流方程為基礎(chǔ),依據(jù)穩(wěn)態(tài)逐次替換法求解非穩(wěn)態(tài)、非線性偏微分方程的基本原理,提出了一套求解非線性偏微分方程的解析方法。分析了油井產(chǎn)量變化規(guī)律,分析了影響產(chǎn)量的因素；分析了定產(chǎn)條件下,井底壓力變化規(guī)律,以及非線性參數(shù)對(duì)井底壓力變化的影響。二、基于同倫變換原理,提出了求解應(yīng)力敏感耦合非線性偏微分方程的解析方法。分析了壓力分布的特點(diǎn),探討了影響產(chǎn)量遞減規(guī)律的因素和井底壓力下降的規(guī)律。提出了附加表皮因子和附加啟動(dòng)壓力梯度兩種近似方法。討論了附加表皮因子法與附加啟動(dòng)壓力梯度法井底壓力和產(chǎn)量遞減規(guī)律。三、建立了分段壓裂水平井有限導(dǎo)流能力產(chǎn)量遞減模型,分析了非線性及應(yīng)力敏感性的影響。分析了水平井筒壓降規(guī)律和雷諾數(shù)變化規(guī)律及對(duì)產(chǎn)量的影響。四、基于點(diǎn)源函數(shù)理論,提出了統(tǒng)一表征線性與非線性的格林函數(shù)及求解方法。論證了非線性滲流解析方法滿足紐曼乘積條件,提出了歸一化擬時(shí)間的概念,初步論證了非線性格林函數(shù)的解析方法,討論了垂向滲透率對(duì)產(chǎn)量遞減規(guī)律的影響。五、利用拉氏變換和數(shù)值反演方法分析了有界封閉地層非線性滲流產(chǎn)量遞減規(guī)律,并將結(jié)果同文獻(xiàn)進(jìn)行了對(duì)比,得出存在極限供給半徑的結(jié)論。利用圍道積分求解了考慮井筒儲(chǔ)存效應(yīng)和表皮因子情況下,非線性油藏井底壓力下降規(guī)律,給出了非線性試井圖版。
[Abstract]:With the large-scale development of low permeability oil fields, the production practice and laboratory experiments show that the flow of fluid in ultra-low permeability reservoirs is nonlinear seepage, and various forms of nonlinear seepage mathematical equations have been proposed. However, up to now, there are only numerical solutions for these nonlinear seepage equations and no analytical solutions. For many petroleum science and technology workers, the analytical solution of nonlinear equations is an important goal we pursue. It is an important goal for us to upgrade the existing calculation methods, to more accurately predict the oil production performance, and to improve the level of petroleum science and technology. There is no doubt that they are very important. Therefore, we have carried on the exploration in this aspect. Firstly, based on the three parameter nonlinear seepage equation and the basic principle of steady state successive substitution method for solving unsteady and nonlinear partial differential equations, an analytical method for solving nonlinear partial differential equations is proposed. The variation law of oil well production and the factors affecting production are analyzed, and the variation law of bottom hole pressure and the influence of nonlinear parameters on bottom hole pressure change are analyzed under the condition of constant production. Secondly, based on the homotopy transformation principle, an analytical method for solving stress-sensitive coupled nonlinear partial differential equations is proposed. The characteristics of pressure distribution are analyzed, and the factors influencing production decline law and the law of bottom hole pressure decreasing are discussed. Two approximate methods, the additional epidermal factor and the additional starting pressure gradient, are proposed. The law of bottom hole pressure and production decline by adding epidermis factor method and additional starting pressure gradient method are discussed. Thirdly, a production decline model with limited conductivity is established, and the effects of nonlinearity and stress sensitivity are analyzed. The variation law of horizontal wellbore pressure drop and Reynolds number and its influence on production are analyzed. Fourthly, based on the point source function theory, the Green's function and its solution are proposed. This paper proves that the analytical method of nonlinear seepage flow satisfies the Newman product condition, puts forward the concept of normalized quasi-time, preliminarily demonstrates the analytical method of nonlinear Green's function, and discusses the influence of vertical permeability on the law of production decline. Fifthly, by using Laplace transform and numerical inversion method, the law of nonlinear percolation production decline in bounded closed strata is analyzed, and the results are compared with the literature, and the conclusion that the limit supply radius exists is obtained. Considering the wellbore storage effect and skin factor, the downwellbore pressure drop law of nonlinear reservoir is solved by means of confining integral, and the nonlinear well test chart is given.
【學(xué)位授予單位】：中國(guó)科學(xué)院研究生院(滲流流體力學(xué)研究所)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2015
【分類號(hào)】：O357.3;O175

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本文編號(hào)：1911723