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滲透率應(yīng)力敏感油藏試井解釋模型研究

發(fā)布時(shí)間:2018-03-04 23:27

  本文選題:應(yīng)力敏感 切入點(diǎn):試井分析 出處:《西南石油大學(xué)》2017年碩士論文 論文類型:學(xué)位論文


【摘要】:在對(duì)滲透率應(yīng)力敏感油藏作壓力動(dòng)態(tài)分析時(shí),一方面,假設(shè)各種巖性參數(shù)為常數(shù)會(huì)導(dǎo)致明顯的錯(cuò)誤,另一方面,與壓力有關(guān)的各種巖性使描述井底壓力的控制方程是非線性的,在使用攝動(dòng)理論弱化此類控制方程的非線性時(shí),許多學(xué)者為了方便方程的求解,一般取的是零階攝動(dòng)解,而對(duì)零階攝動(dòng)解能否滿足解的正確性這一問(wèn)題尚未有人研究。除此之外,對(duì)試井壓力響應(yīng)進(jìn)行的多為壓力降落試井研究,對(duì)關(guān)井恢復(fù)的壓力及壓力導(dǎo)數(shù)雙對(duì)數(shù)曲線特征研究甚少。綜上所述,本文主要研究?jī)?nèi)容如下:(1)建立并求解了考慮井筒儲(chǔ)集效應(yīng)、表皮效應(yīng)及應(yīng)力敏感效應(yīng)的均質(zhì)油藏試井解釋數(shù)學(xué)模型,matlab編程得到了無(wú)限大、圓形封閉邊界和圓形定壓邊界條件下的無(wú)因次井底壓力及壓力導(dǎo)數(shù)曲線,分析了典型曲線特征和影響試井曲線的因素,最后將saphir得到的數(shù)值解與零階攝動(dòng)解進(jìn)行對(duì)比。(2)建立并求解了考慮井筒儲(chǔ)集效應(yīng)、表皮效應(yīng)及應(yīng)力敏感效應(yīng)的雙重介質(zhì)油藏試井解釋數(shù)學(xué)模型,matlab編程得到了三種邊界條件下的井底壓力動(dòng)態(tài)響應(yīng),對(duì)典型曲線特征和影響試井曲線的因素如儲(chǔ)容比和竄流系數(shù)等進(jìn)行了深入討論,最后將saphir得到的數(shù)值解與零階攝動(dòng)解進(jìn)行對(duì)比。(3)建立并求解了考慮井筒儲(chǔ)集效應(yīng)、表皮效應(yīng)及應(yīng)力敏感效應(yīng)的復(fù)合油藏試井解釋數(shù)學(xué)模型,matlab編程計(jì)算了井底壓力動(dòng)態(tài)響應(yīng),對(duì)典型曲線階段性特征和影響試井曲線的因素進(jìn)行了詳細(xì)討論,最后將saphir得到的數(shù)值解與零階攝動(dòng)解進(jìn)行對(duì)比。(4)對(duì)建立的三類數(shù)學(xué)模型進(jìn)行了壓力恢復(fù)分析,繪制了壓力恢復(fù)試井曲線。通過(guò)對(duì)以上試井解釋數(shù)學(xué)模型進(jìn)行研究,能夠?qū)Σ煌闆r下的試井曲線有更加清晰的認(rèn)識(shí),為實(shí)際生產(chǎn)資料的試井解釋工作提供理論指導(dǎo)。
[Abstract]:In the pressure performance analysis of permeability stress-sensitive reservoirs, on the one hand, assuming that various lithologic parameters are constant will lead to obvious errors. On the other hand, various lithologic properties related to pressure make the governing equations describing bottom hole pressure nonlinear. When using perturbation theory to weaken the nonlinearity of this kind of governing equation, many scholars generally take the zero-order perturbation solution to facilitate the solution of the equation. However, the problem of whether the zero-order perturbation solution can satisfy the correctness of the solution has not been studied. In addition, the pressure response of well test is mostly the research of pressure landing well test. There are few studies on the characteristics of double logarithmic curves of shut-in recovery pressure and pressure derivatives. In summary, the main contents of this paper are as follows: (1) the wellbore reservoir effect is established and solved. The mathematical model of well test interpretation for homogeneous reservoir with skin effect and stress sensitivity effect is programmed in MATLAB to obtain dimensionless bottomhole pressure and pressure derivative curves under infinite, circular closed boundary and circular constant pressure boundary conditions. The characteristics of typical curves and the factors affecting well test curves are analyzed. Finally, the numerical solution obtained by saphir is compared with the zero order perturbation solution. The mathematical model of well test interpretation for dual medium reservoir with skin effect and stress sensitivity effect is programmed in MATLAB to obtain the bottom hole pressure dynamic response under three boundary conditions. The characteristics of typical curves and the factors affecting well test curves, such as reservoir volume ratio and channeling coefficient, are discussed in depth. Finally, the numerical solution obtained by saphir is compared with the zero order perturbation solution. The mathematical model of well test interpretation for complex reservoirs with skin effect and stress sensitivity effect is programmed by MATLAB to calculate the dynamic response of bottom hole pressure. The stage characteristics of typical curves and the factors affecting well test curves are discussed in detail. Finally, the numerical solution obtained by saphir is compared with the zero order perturbation solution. (4) the three kinds of mathematical models are analyzed and the curves of pressure recovery well test are plotted. The above mathematical model of well test interpretation is studied. It can have a clearer understanding of well test curves under different conditions and provide theoretical guidance for well test interpretation of actual production materials.
【學(xué)位授予單位】:西南石油大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2017
【分類號(hào)】:TE353

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