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大慶石油學(xué)院學(xué)生作業(yè)紙課程名稱 試井技術(shù) 2010至2011學(xué)年度 第2學(xué)期 班級 研104 姓名王建寧學(xué)號 s1002237 表1和和表2分別是均質(zhì)油藏中一口井的變產(chǎn)量試井的壓力史和流量史數(shù)據(jù),壓力史和流量史圖形如圖1所示。其他資料如下:pi=17.68MPa;B=1.25;=0.25;=1.6mPas;Ct=1.010-3 (MPa)-1;h=23.4m;rw=0.1m。試用變產(chǎn)量常規(guī)試井分析方法對每個(gè)流量段進(jìn)行試井分析。圖1 變產(chǎn)量試井的壓力史和流量史表1 流量史數(shù)據(jù)流量段序號流量段時(shí)間長度h流量m3/d124379.3248034847741400表2 壓力史數(shù)據(jù)序號時(shí)間(h)壓力(MPa)序號時(shí)間(h)壓力(MPa)0017.686972.12717.49110.01317.65487072.16917.463120.01717.64877172.22417.436630.02217.63997272.29717.414140.02817.62977372.39417.396450.03717.61747472.52217.382860.04717.60327572.69317.372670.06117.58627672.91917.363880.0817.56717773.21917.356390.10317.5467873.61717.3482100.13417.5257974.14517.3407110.17417.50328074.84617.3339120.22517.48358175.77517.3264130.29217.46658277.00717.3196140.37817.45228378.64217.3128150.4917.44138480.8117.306160.63517.43328583.68717.2992170.82317.42648687.50317.2931181.06717.41968792.56417.2863191.38317.41348899.27917.2802201.79317.40889108.18517.274212.32417.40269012017.2679223.01217.396491120.01117.2938233.90417.39192120.01317.2965245.0617.385693120.01617.3033256.55917.380194120.01817.3074268.50217.375495120.02217.31692711.0217.369996120.02817.32782814.28417.364597120.03517.34072918.51617.35998120.04517.3556302417.354399120.05617.37263124.01317.3794100120.07117.39243224.01817.3869101120.08917.41413324.02317.3964102120.11317.43663424.03117.408103120.13117.45153524.04117.4223104120.1617.47193624.05417.44105120.19517.49033724.07217.4597106120.24917.51143824.09617.4814107120.33317.53243924.12717.5046108120.39217.54264024.16917.5284109120.46617.55084124.22417.5494110120.55817.5594224.29717.5685111120.67417.56584324.39417.5828112120.81917.57194424.52217.594311312117.57734524.69317.6025114121.17517.58214624.91917.61115121.45417.58754725.21917.6161116121.73217.59234825.61717.6222117122.17917.59844926.14517.6283118122.917.60525026.84617.6338119123.41117.60935127.77517.6392120124.06117.61345229.00717.644121124.88517.61745330.64217.6487122125.93117.62225432.8117.6535123127.25917.62635535.68717.6576124128.94517.6315639.50317.661125131.08517.63515744.56417.6644126133.80217.63995851.27917.6671127137.24917.6445960.18517.6698128141.62617.648607217.6718129147.18117.65216172.01317.6412130154.23217.65556272.01817.6324131163.18317.65896372.02317.6208132174.54417.66166472.03117.6066133188.96617.66446572.04117.5896134207.27117.66716672.05417.5692135230.50617.66916772.07217.545413626017.67126872.09617.5188解:第一階段分析:處理數(shù)據(jù),見表3。表3 壓降和時(shí)間對數(shù)表序號時(shí)間lgtpwf序號時(shí)間lgtpwf(h)(MPa)(h)(MPa)0017.68160.635-0.1972317.433210.013-1.8860617.6548170.823-0.084617.426420.017-1.7695517.6487181.0670.02816417.419630.022-1.6575817.6399191.3830.14082217.413440.028-1.5528417.6297201.7930.2535817.40850.037-1.431817.6174212.3240.36623617.402660.047-1.327917.6032223.0120.47885517.396470.061-1.2146717.5862233.9040.5915117.39180.08-1.0969117.5671245.060.70415117.385690.103-0.9871617.546256.5590.81683817.3801100.134-0.872917.525268.5020.92952117.3754110.174-0.7594517.50322711.021.04218217.3699120.225-0.6478217.48352814.2841.1548517.3645130.292-0.5346217.46652918.5161.26754717.359140.378-0.4225117.452230241.38021117.3543150.49-0.309817.4413第二步,在坐標(biāo)紙上繪制pwflg t關(guān)系曲線,并用徑向流動階段的數(shù)據(jù)點(diǎn)(序號1530),用線性回歸繪出直線段,如圖2所示。其斜率為m=0.0576 MPa/cycle(MPa)圖2 壓降與時(shí)間關(guān)系曲線據(jù)此可以推斷流動系數(shù)為:地層系數(shù)為: 地層有效滲透率為: 表皮系數(shù)為:綜上所述,該井的流動系數(shù)為17.459,地層系數(shù)為27.93,地層有效滲透率為1.194,表皮系數(shù)為-2.171,由此可見該井是措施見效井。解釋完畢。第二階段分析: 根據(jù)已知條件和表1、2數(shù)據(jù),可知tp=24h與t相差不大,故采用赫諾公式計(jì)算。(1)根據(jù)表1 計(jì)算lg(tp+t)/t),數(shù)據(jù)見表 4。 表 4壓力恢復(fù)數(shù)據(jù)處理表序號t(h)t(tp+t)/tlg((tp+t)/t)pws(MPa)3124.0130.0131847.154 3.267 17.379 3224.0180.0181334.333 3.125 17.387 3324.0230.0231044.478 3.019 17.396 3424.0310.031775.194 2.889 17.408 3524.0410.041586.366 2.768 17.422 3624.0540.054445.444 2.649 17.440 3724.0720.072334.333 2.524 17.460 3824.0960.096251.000 2.400 17.481 3924.1270.127189.976 2.279 17.505 4024.1690.169143.012 2.155 17.528 4124.2240.224108.143 2.034 17.549 4224.2970.29781.808 1.913 17.569 4324.3940.39461.914 1.792 17.583 4424.5220.52246.977 1.672 17.594 4524.6930.69335.632 1.552 17.603 4624.9190.91927.115 1.433 17.610 4725.2191.21920.688 1.316 17.616 4825.6171.61715.842 1.200 17.622 4926.1452.14512.189 1.086 17.628 5026.8462.8469.433 0.975 17.634 5127.7753.7757.358 0.867 17.639 5229.0075.0075.793 0.763 17.644 5330.6426.6424.613 0.664 17.649 5432.818.813.724 0.571 17.654 5535.68711.6873.054 0.485 17.658 5639.50315.5032.548 0.406 17.661 5744.56420.5642.167 0.336 17.664 5851.27927.2791.880 0.274 17.667 5960.18536.1851.663 0.221 17.670 6072481.500 0.176 17.672 (2)根據(jù)表 4 畫pwslg(tp+t)/t)赫諾曲線,并用徑向流動階段的數(shù)據(jù)點(diǎn)(最后15個(gè)點(diǎn))畫出直線段,如圖 3 可知:由第一階段的分析得:pwf(tp=24)=pws(t=0)=17.3543(MPa)斜率 m= -0.0496MPa/對數(shù)周期直線段與(tp+t)/t=1 的交點(diǎn)對應(yīng)的坐標(biāo)為 P=17.68MPa其中pws(t=1h)=pws(tp+t)/t=25)=17.61Mpa圖 3赫諾曲線于是可計(jì)算以下系數(shù):流動系數(shù):地層系數(shù): 滲透率:表皮系數(shù):S= = -1.274因?yàn)镾0 , 所以此井為超完善井。第三階段:(1)本階段與第一階段不同,必須采用變產(chǎn)量開井生產(chǎn)公式來計(jì)算參數(shù),數(shù)據(jù)處理,見表5。表5變量生產(chǎn)壓降數(shù)據(jù)表序號t(h)pwf(MPa)lg(t-t2)lg(t-t1)lgt6172.013-1.7461 17.6412-1.8861 1.6814 1.8574 6272.018-1.6047 17.6324-1.7447 1.6814 1.8574 6372.023-1.4983 17.6208-1.6383 1.6814 1.8575 6472.031-1.3687 17.6066-1.5086 1.6815 1.8575 6572.041-1.2473 17.5896-1.3872 1.6816 1.8576 6672.054-1.1277 17.5692-1.2676 1.6817 1.8577 6772.072-1.0028 17.5454-1.1427 1.6819 1.8578 6872.096-0.8779 17.5188-1.0177 1.6821 1.8579 6972.127-0.7565 17.491-0.8962 1.6824 1.8581 7072.169-0.6325 17.4631-0.7721 1.6828 1.8584 7172.224-0.5103 17.4366-0.6498 1.6833 1.8587 7272.297-0.3879 17.4141-0.5272 1.6839 1.8591 7372.394-0.2654 17.3964-0.4045 1.6848 1.8597 7472.522-0.1435 17.3828-0.2823 1.6859 1.8605 7572.693-0.0209 17.3726-0.1593 1.6875 1.8615 7672.9190.1012 17.3638-0.0367 1.6895 1.8628 7773.2190.2232 17.35630.0860 1.6921 1.8646 7873.6170.3450 17.34820.2087 1.6956 1.8670 7974.1450.4665 17.34070.3314 1.7002 1.8701 8074.8460.5878 17.33390.4542 1.7063 1.8742 8175.7750.7084 17.32640.5769 1.7141 1.8795 8277.0070.8286 17.31960.6996 1.7243 1.8865 8378.6420.9480 17.31280.8223 1.7375 1.8957 8480.811.0667 17.3060.9450 1.7544 1.9075 8583.6871.1844 17.29921.0677 1.7759 1.9227 8687.5031.3011 17.29311.1904 1.8028 1.9420 8792.5641.4168 17.28631.3131 1.8361 1.9664 8899.2791.5314 17.28021.4358 1.8767 1.9969 89108.1851.6451 17.2741.5585 1.9252 2.0342 901201.7583 17.26791.6812 1.9823 2.0792 (2)根據(jù)整理的數(shù)據(jù)畫pwf關(guān)系曲線,并用整理的數(shù)據(jù)點(diǎn)(最后17個(gè)點(diǎn))畫出直線段,如圖 4 可知: m=0.0576MPa/cycle a=17.368(MPa)圖4壓降與時(shí)間關(guān)系曲線由此可算出流動系數(shù)為:地層系數(shù)為: 地層有效滲透率為: 表皮系數(shù)為:由此可見該井是措施見效井。第四階段:(1)該階段與第二階段不同,必須采用油井以變產(chǎn)量生產(chǎn)后關(guān)井的壓力恢復(fù)公式來計(jì)算,數(shù)據(jù)整理,見表6。表6壓力恢復(fù)數(shù)據(jù)表序號t(h)tpws(MPa)91120.0110.0113.7170 17.293892120.0130.0133.6445 17.296593120.0160.0163.5543 17.303394120.0180.0183.5032 17.307495120.0220.0223.4161 17.316996120.0280.0283.3114 17.327897120.0350.0353.2145 17.340798120.0450.0453.1055 17.355699120.0560.0563.0106 17.3726100120.0710.0712.9076 17.3924101120.0890.0892.8097 17.4141102120.1130.1132.7062 17.4366103120.1310.1312.6421 17.4515104120.160.162.5555 17.4719105120.1950.1952.4699 17.4903106120.2490.2492.3642 17.5114107120.3330.3332.2386 17.5324108120.3920.3922.1683 17.5426109120.4660.4662.0938 17.5508110120.5580.5582.0163 17.559111120.6740.6741.9352 17.5658112120.8190.8191.8518 17.571911312111.7665 17.5773114121.1751.1751.6979 17.5821115121.4541.4541.6077 17.5875116121.7321.7321.5339 17.5923117122.1792.1791.4378 17.5984118122.92.91.3193 17.6052119123.4113.4111.2529 17.6093120124.0614.0611.1821 17.6134121124.8854.8851.1082 17.6174122125.9315.9311.0317 17.6222123127.2597.2590.9537 1
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