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氣井多相流水擊數(shù)學(xué)模型的建立和求解

發(fā)布時(shí)間:2018-04-23 19:53

  本文選題:水擊 + 氣井; 參考:《石油學(xué)報(bào)》2017年07期


【摘要】:針對(duì)氣井關(guān)井瞬間產(chǎn)生的水擊現(xiàn)象,由于井筒多相流和高壓、高溫以及天然氣的強(qiáng)可壓縮性特征,用于水力學(xué)的常規(guī)水擊壓力模型難以適用。基于水力學(xué)水擊理論,分析氣井水擊機(jī)理,根據(jù)質(zhì)量守恒定律和牛頓第二定律,建立由運(yùn)動(dòng)方程和連續(xù)性方程組成的描述氣井多相流水擊壓力的數(shù)學(xué)模型;根據(jù)該方程屬于擬線性雙曲偏微分方程的特點(diǎn),結(jié)合氣井壓力測(cè)試和應(yīng)用需要,建立了兩類(lèi)邊界條件:一類(lèi)適用于通過(guò)井底壓力計(jì)算井口及沿井深的水擊壓力,另一類(lèi)適用于通過(guò)井口壓力計(jì)算井底及沿井深的水擊壓力;通過(guò)特征線法對(duì)水擊壓力數(shù)學(xué)模型有限差分離散求解。計(jì)算結(jié)果與實(shí)測(cè)壓力對(duì)比結(jié)果表明,水擊壓力模型能夠精確地反映水擊壓力的大小、水擊周期和水擊衰減規(guī)律,從而提高壓力恢復(fù)試井早期段數(shù)據(jù)質(zhì)量,改善試井曲線擬合效果,提高試井解釋準(zhǔn)確度。
[Abstract]:Because of the characteristics of multiphase flow and high pressure, high temperature and strong compressibility of natural gas, the conventional hydraulic hammer pressure model used in hydraulics is difficult to apply. Based on the hydraulic hammer theory, the water hammer mechanism of gas well is analyzed. According to the law of conservation of mass and Newton's second law, a mathematical model is established to describe the multi-phase water hammer pressure of gas well, which is composed of motion equation and continuity equation. According to the characteristic that the equation belongs to quasilinear hyperbolic partial differential equation and combined with the need of gas well pressure test and application, two kinds of boundary conditions are established: one is suitable for calculating wellhead and depth water hammer pressure through bottom hole pressure. The other kind is suitable for calculating the water hammer pressure at the bottom of the well and along the well depth through the wellhead pressure and the finite difference discrete solution of the mathematical model of the water hammer pressure by the characteristic line method. The comparison between the calculated results and the measured pressure shows that the water hammer pressure model can accurately reflect the magnitude of the water hammer pressure, the water hammer period and the law of water hammer attenuation, so as to improve the data quality of the early stage of the pressure recovery test. The fitting effect of well test curve is improved and the accuracy of well test interpretation is improved.
【作者單位】: 中國(guó)石油西南油氣田公司川中油氣礦;
【基金】:國(guó)家重大科技專(zhuān)項(xiàng)“復(fù)雜碳酸鹽巖氣藏開(kāi)發(fā)技術(shù)研究”(2011ZX05015-003-005) 中國(guó)石油天然氣集團(tuán)公司重大勘探專(zhuān)項(xiàng)“四川盆地樂(lè)山—龍女寺古隆起含油氣評(píng)價(jià)及勘探配套技術(shù)研究”(2012ZD01-03-01)資助
【分類(lèi)號(hào)】:TE319;TE373

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